Answers
Answer:
Option a 340 cm²
Area= bxh
20x17=340 cm²
Related Questions
49x^2=-21x-2 quadratic functions
Answers
Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7
Step-by-step explanation:
Quadratic function:
In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.
Move terms to the left side
49[tex]x^{2}[/tex] =-21x-2
49[tex]x^{2}[/tex] -(-21x-2) =0
Distribute
49[tex]x^{2}[/tex] -(-21x-2) =0
49[tex]x^{2}[/tex]+21x+2=0
Use the quadratic formula
x=(-b±√[tex]b^{2}[/tex] -4ac ) / 2a
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
49[tex]x^{2}[/tex]+21x+2=0
let, a=49
b=21
c=2
Replace with values in this equation
X=(-b±√[tex]b^{2}[/tex] -4ac ) / 2a
Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
x=(-21±7) /98
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate
x=(-21+7) /98
x=(-21-7) /98
Solve
Rearrange and isolate the variable to find each solution
x=-1/7
x=-2/7
Learn more about area here https://brainly.in/question/5597925
#SPJ9
DIG DEEPER The diagram shows the elevation changes between checkpoints on a trail.
A drawing shows the change in elevation between checkpoints on a mountain trail. From a point labeled start, the trail moves down to a point which is labeled negative 174 feet from the starting point. The trail then moves upward up to a point labeled 350 feet above the previous point. Next, the trail moves down to a point which is labeled negative 180 feet below the previous point. Then the trail moves up to a point labeled 282 feet above the previous point labeled end.
The trail begins at an elevation of 8136 feet. What is the elevation at the end of the trail?
The elevation is
feet.
Skip to navigation
Answers
Using operations with integers, it is found that the elevation at the end of the trail is of 8,414 feet.
How to find the elevation at the end of the trail?We initially take the initial elevation, and then:
We add positive points labeled on the graph.We subtract negative points labeled on the graph.Thus, operations of sum and subtraction with integers are used to find the final elevation.
From the listed points on the problem, the operations are given as follows:
-174, 350, -180, +282.
The trail begins at an elevation of 8136 feet, hence the final point can be found as follows:
8136 - 174 + 350 - 180 + 282 = 8414 feet.
The elevation at the end of the trail is of 8,414 feet.
More can be learned about operations with integers at https://brainly.com/question/1633188
#SPJ1
22 ml of rboh is titrated with 35 ml of 0.9 m hf. what is the concentration of the base?
Answers
22 ml of rboh is titrated with 35 ml of 0.9 m hf. The concentration of the base is 1.43M.
What is titration?Titration is a method of chemical analysis in which the amount of a sample's ingredient is determined by adding an exact known amount of a different substance to the measured sample in which the desired constituent interacts in a specific, known proportion. Titrating reagent, or titrant, is often added to a standard solution (i.e., a solution of known concentration) using a burette, which is essentially a long, graduated measurement tube with a stopcock and a delivery tube at its bottom end. When the equivalence point is achieved, the addition is terminated.
To learn more about titration, visit:
https://brainly.com/question/13307013
#SPJ4
Frank was born in 1933 and died in 1946 at the age of 57. How can this be?
Answers
Answer:
Frank was born in 1933 and died in 1946 at the age of 57. 1933 and 1946 are not years but just room or ward numbers.
EXPLANATION:
The numerical 1933 and 1946 do not signify the year of birth or death. No where in the question is the word 'years' mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.
Similarly 1946 is the room or ward number where Frank died. Hence his age is irrelevant with respect to 1933 and 1946. His related age of 57 thus has nothing to do with them.
Answer:
The numerical 1933 and 1946 do not signify the year of birth or death. Nowhere in the question is the word ‘years’ mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.
Step-by-step explanation:
When the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have what property?
Answers
When the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.
What are equal intervals?Equal intervals denote that the variations between numbers (units) are the same anywhere on the scale (e.g., the difference between 4 and 5 is the same as the difference between 76 and 77). The difference between two successive categories is equal in an equal interval. Temperature measured in Fahrenheit, for example, has equal intervals; that is, the difference between 30 and 31 degrees is one degree, and the difference between 100 and 101 degrees is one degree.When the relationship between a scale's unit of measurement (strength) and a consequence (pounds lifted) can be described by the linear equation y = a bx, the scale is said to possess an equal intervals property.Therefore, when the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.
Know more about equal intervals here:
https://brainly.com/question/26620085
#SPJ4
13. Which function includes the data set below?
{(2, -2), (6, 10), (13, 31)) (Lesson 2-1)
A. f(x)=2x-3
B. f(x) = -2x + 2
C. f(x) = 3x8
D. f(x) = 4x 10.
-
Answers
Answer:
C. 3x-8
Step-by-step explanation:
To solve this, we put the x values into the functions and calculate the y values.
A
y = (1/2)x - 3
test for (2, -2)
-2 = 1/2 × 2 - 3 = 1 - 3 = -2 correct
test for (6, 10)
10 = 1/2 × 6 - 3 = 3 - 3 = 0 wrong
so, A cannot be right.
B
y = -2x + 2
test for (2, -2)
-2 = -2×2 + 2 = -4 + 2 = -2 correct
test for (6, 10)
10 = -2×6 + 2 = -12 + 2 = -10 wrong
so, B cannot be right.
C
y = 3x - 8
test for (2, -2)
-2 = 3×2 - 8 = 6 - 8 = -2 correct
test for (6, 10)
10 = 3×6 - 8 = 18 - 8 = 10 correct
test for (13, 31)
31 = 3×13 - 8 = 39 - 8 = 31 correct
so, C is a right answer.
D
y = 4x - 10
test for (2, -2)
-2 = 4×2 - 10 = 8 - 10 = -2 correct
test for (6, 10)
10 = 4×6 - 10 = 24 - 10 = 14 wrong
so, D cannot be right.
I hope this helped! Have a good day! :D
The real estate agent's base salary is $21,000. They also receive 5% commission on total sales. How much in total sales do they have to make in order to earn $70,000 in one year?
Answers
======================================================
Work Shown:
x = amount of sales
0.05x = five percent of sales to represent commission earned
21,000+0.05x = add on the base salary to get total salary
21,000+0.05x = 70,000
0.05x = 70,000-21,000
0.05x = 49,000
x = (49,000)/(0.05)
x = 980,000
----------
Check:
If the real estate agent sold $980,000 worth of property, then s/he earned 5% of 980,000 = 0.05*980,000 = 49,000 dollars in commission.
The total salary for the year is 21,000+49,000 = 70,000 dollars. The answer is confirmed.
Joann works in a publicity office at the state university. she is paid $ 13.00 an hour for the first 35 hours she works each week and $ 19.50 an hour for every hour after that. if she makes $ 572.00 one week, how many hours did she work?
Answers
Joann worked for 64 hours in week.
Let the number of hours she work be x. The payment for first 35 hours will be added with the multiple of number of extra hours and payment for the same.
Forming the equation according above mentioned statement :
13 + 19.5x = 572
Solving the equation to find the number of hours worked by Joann
Shifting 13 to Right Hand Side of the equation
19.5x = 572 - 13
Performing subtraction on Right Hand Side of the equation
19.5x = 559
Shifting 19.5 to Right Hand Side of the equation at denominator
x = 559 ÷ 19.5
x = 28.67 hours
Rounding off the number of hours, we get the value = 29
So, Joann worked for 29 extra hours. To find the total number of hours she worked, we will simply add her working hours.
Total number of hours Joann worked = 35 hours + extra hours
Total number of hours Joann worked = 35 + 29
Total number of hours Joann worked = 64 hours
Hence, Joann worked for 64 hours in week.
Learn more about calculations on time -
brainly.com/question/28337274
#SPJ4
Please help due soon.
Answers
Answer should be l=p-w/2, or c.
A family is comparing different car seats. one car seat is designed for a child up to and including 30 lb. another car seat is designed for a child between 15 lb and 40 lb. a third car seat is designed for a child between 30 lb and 85 lb, inclusive. model those ranges with compound inequalities. which car seats are appropriate for a 32-ib child?
Answers
The Second and third car seats are appropriate for a 32-ib child
The first car :
The range 30 ≤x< 32
So it is not possible for a car seat appropriate for a 32-ib child.
The second car:
The range 15<x <40
So it is possible for a car seat appropriate for a 32-ib child.
The third car:
The range 30< x< 85
So it is also possible.
Hence the second and the third ranged car is possible for a 32-ib child.
To know more about Compound inequalities refer to the link given below:
https://brainly.com/question/24761100
#SPJ4
Step-by-step, please?
Answers
Answer:
Step-by-step explation; c2 + c2 -3c + 5c + 3 - 2
= 2c2 + 2c +1
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' y'-4x-4y=e^-t x' y' 2x y=e^4t
Answers
It looks like the system of ODEs is
[tex]\begin{cases} 2x' + y' - 4x - 4y = e^{-t} \\ x' + y' + 2x + y = e^{4t} \end{cases}[/tex]
Differentiate both sides of both equations with respect to [tex]t[/tex].
[tex]\begin{cases} 2x'' + y'' - 4x' - 4y' = -e^{-t} \\ x'' + y'' + 2x' + y' = 4e^{4t} \end{cases}[/tex]
Eliminating the exponential terms, we have
[tex](2x' + y' - 4x - 4y) + (2x'' + y'' - 4x' - 4y') = e^{-t} + (-e^{-t}) \\\\ \implies (2x'' - 2x' - 4x) + (y'' - 3y' - 4y) = 0[/tex]
[tex](x'' + y'' + 2x' + y') - 4 (x' + y' + 2x + y) = 4e^{4t} - 4\cdot e^{4t} \\\\ \implies (x'' - 2x' - 8x) + (y'' - 3y' - 4y) = 0[/tex]
Now we can eliminate [tex]y[/tex] and it derivatives.
[tex]\bigg((2x'' - 2x' - 4x) + (y'' - 3y' - 4y)\bigg) - \bigg((x'' - 2x' - 8x) + (y'' - 3y' - 4y)\bigg) = 0 - 0 \\\\ \implies x'' + 4x = 0[/tex]
Solve for [tex]x[/tex]. The characteristic equation is [tex]r^2 + 4 = 0[/tex] with roots at [tex]r=\pm2i[/tex], hence the characteristic solution is
[tex]\boxed{x(t) = C_1 \cos(2t) + C_2 \sin(2t)}[/tex]
Solve for [tex]y[/tex]. Substituting [tex]x[/tex] into the second ODE gives
[tex]x' + y' + 2x + y = e^{4t} \\\\ \implies y' + y = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t)[/tex]
The characteristic equation this time is [tex]r + 1 = 0[/tex] with a root at [tex]r=-1[/tex], hence the characteristic solution is
[tex]y(t) = C_3 e^{-t}[/tex]
Assume a particular solution with unknown coefficients [tex]a,b,c[/tex] of the form
[tex]y_p = ae^{4t} + b \cos(2t) + c \sin(2t) \\\\ \implies {y_p}' = 4ae^{4t} - 2b\sin(2t) + 2c\cos(2t)[/tex]
Substituting into the ODE gives
[tex]5ae^{4t} + (b+2c) \cos(2t) + (-2b+c) \sin(2t) = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t) \\\\ \implies \begin{cases}5a = 1 \\ b+2c = C_1 \\ -2b+c = C_2\end{cases} \\\\ \implies a=\dfrac15, b=\dfrac{C_1-2C_2}5, c=\dfrac{2C_1+C_2}5[/tex]
so that the general solution is
[tex]\boxed{y(t) = \dfrac15 e^{4t} + \dfrac{C_1-2C_2}5 \cos(2t) + \dfrac{2C_1+C_2}5 \sin(2t) + C_3 e^{-t}}[/tex]
Given m∠ADC= 118°, find m∠ADB.
Answers
118=11x-7+5x-3
118=16x-10
128=16x
8=x
11x-7=adb
88-7=adb
81 degrees
A polynomial function g(x) has a negative leading coefficient. Certain values of g(x) are given in the following table. x –4 –1 0 1 5 8 12 g(x) 0 –3 –1 –2 0 3 0 If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?
Answers
By factor theorem and limits, it is found that the end behavior of g(x) is that it goes to negative infinity.
The values of x and g(x) are
x –4 –1 0 1 5 8 12
g(x) 0 –3 –1 –2 0 3 0
We need to find the end behavior of g(x).
What is Factor theorem?The Factor Theorem states that a function with leading coefficient a and zeros x1,x2,x3...xn is defined by:
g(x)=(x-x1)(x-x2)(x-x3)..(x-xn)
By definition of factor theorem,
g(x)=a(x-(-4))(x-12)
g(x)=a(x+4)(x-12)
g(x)=a(x2-8x-48)
The end behavior is the limit of g(x) as x goes to infinity, thus:
lim[tex]lim \lim_{x \to \infty} g(x)= \lim_{x \to \infty} ax^{2} =a*\infty[/tex]
Since the leading coefficient a is negative:
a*infinity= - infinity
Thus the end behaviour of g(x) it goes to negative infinity.
To learn more on Factor theorem click: https://brainly.com/question/24248193
#SPJ1
8x+5=hx-8
find h
why does this only have one answer
Answers
Answer:
it's supposed to have 2 answers Because we are looking for h and x (we have two "unknown") so therefore we are gonna get two answer.if you don't mind let's solve it:8x+5=hx-8
collect like terms (values that are alike in one place)
8x-hx = -8-5
8x-hx = -13
8x -hx+13 =0
factorize
x(8-h) + 13 =0
we can't do nothing to it anymore I think
Hope this helpsace that workGood luck ✅If angle 1 and angle 2 supplementary, angle 2 and angle 3 are supplementary, measure of angle 1 = 133 degrees, find the measures of angle 2 and angle 3
Answers
If angle 1 and angle 2 supplementary, angle 2 and angle 3 are supplementary, The measure of ∠2 = 47° and ∠3 = 133°.
What are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are supplementary angles as the total of these two angles is 180°. The sum of complimentary angles is 90 degrees.
Given,
the measure of angle 1 = 133°
As, ∠1 + ∠2 are supplementary angles,
⇒ ∠1 + ∠2 = 180° ......(1)
∠2 + ∠3 are supplementary angles,
⇒ ∠2 + ∠3 = 180° .......(2)
From (1),
⇒ 133° + ∠2 = 180°
⇒ ∠2 = 47°
From (2),
47° + ∠3 = 180°
∠3 = 133°
To learn more about supplementary angles from given link
https://brainly.com/question/404323
#SPJ9
The function f(x) is given by the set of ordered pairs.
{(8, –3), (0, 4), (1, –5), (2, –1), (–6, 10)}
Which is true regarding the function?
Answers
In exercises 19 and 20, find the indicated angle measure. (See photo)
Answers
Answer:
See below to complete
Step-by-step explanation:
ABC = 37 +21 °
LMN = 85 +23 °
Of the books in a personal library, 3/5 are fiction. Of these books, 6/7 are paperback. What fraction of the books in the library are fiction and paperbacks?
Answers
The fraction of the books in the library that are fiction and paperbacks is 18/35
How to calculate the fraction ?
3/5 of the books in the library are fiction
6/7 of the books are paperback
Therefore the fraction of the books that are fictions and paperbacks can be calculated as follows
3/5 × 6/7
= 18/35
Hence 18/35 of the books are fiction and paperbacks
Read more on fraction here
https://brainly.com/question/8828466?referrer=searchResults
#SPJ1
Find the equation of a line that passes through the point (1, -5) and is perpendicular to a line that passes through the points (2, 4) and (3, -4). Write the equation in slope intercept
form.
Answers
The equation of a line in slope-intercept form is [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .
What is slope intercept form?One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line.When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).The equation of the line is given below using the slope-intercept method:
y = mx + c
where,
m = the slope of the line
c = y-intercept of the line
(x, y) represent any point on the line
To find the Slope of a line that passes through the points (2, 4) and (3, -4).
m₁ = change in y/change in x
= y₂ - y₁ / x₂ - x₁
= Δy/Δx
= [tex]\frac{-4-4}{3-2}[/tex]
= [tex]\frac{-8}{1}[/tex]
= -8
Now, we find the slope of the line perpendicular to the line with the slope -8.
m₂ = -1 / m₁
= -1 / -8
= 1/8
So, the slope of the line is 1/8.
Next, we find the equation of a line that passes through the point (1, -5) and has a slope of 1/8.
⇒ y - y₁ = m( x- x₁)
⇒ y + 5 = [tex]\frac{1}{8}[/tex] (x - 1)
Multiplying by 8 on both sides of the equation we get and then solving
⇒ 8y + 40 = x - 1
⇒ 8y = x - 41
⇒ [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex]
Therefore, the equation in slope intercept form is [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .
To learn more about slope-intercept form visit:
https://brainly.com/question/9682526
#SPJ9
Revenue management methodology was originally developed for the banking industry. group of answer choices
a. true
b. false
Answers
The statement 'Revenue management methodology was originally developed for the banking industry.' is False.
The revenue Management is an analytics technique.
This technique is used to predict consumer behavior at the micro-level, which is ultimately useful in optimizing the product availability and pricing and maximize revenue growth.
This methodology is used by companies in certain industries, particularly those with fixed costs and capacity and products or services that expire.
It is the operational procedures and practices that maximize revenues without creating additional products or services.
Therefore, The statement 'Revenue management methodology was originally developed for the banking industry.' is False.
Learn more about the revenue management here:
https://brainly.com/question/14884122
#SPJ4
If a company has $340,000 worth of sales and $230,000 of costs, correct to 2 two significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
Answers
Hence , the maximum and minimum relative profit to the appropriate accuracy are 0.33 and 0.31 respectively .
Upper and lower bounds square measure the most and minimum values that variety may are before it had been rounded. they will even be referred to as limits of accuracy.The higher and lower bounds is written victimization error intervalsIt is given that p=(s-c)/s......(1) and sales = $340,000 and cost = $230,000
Putting s = $340,000 , c = $230,000
p = 340,000 - 230,000 / 340,000
p = 110000 /340,000
p = 0.3235
p = 0.32
The largest variety which will round off to relinquish 0.32 is 0.33 therefore we are saying that 0.33 is that the edge.
The smallest variety which will gather to 0.32 is 0.31 this is often the edge.
Learn more about upper and lower bond here :
https://brainly.com/question/15408313
#SPJ1
The complete question is given below :
To determine whether a business is making enough profit, the following formula is used p=(s-c)/s where P is relative profit, S is sales and C is costs. If a company has $340 000 worth of sales and $230000 of costs, correct to 2 significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $20. The venue has the capacity to hold
400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise $5,000 for her school:
How many Pre-sale Tickets tickets must she sell to make her goal?
A)400
B)300
C)250
D)100
Answers
The number of presales tickets can be obtained as 300. The correct option is (B).
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Since, total number of people are 400.
Suppose the number of pre-sales tickets be x.
Then, the number of at door tickets is given as 400 - x.
As per the question, the following equation can be written for total money raised as,
⇒ 10x + 20(400 - x) = 5000
⇒ 10x = 3000
⇒ x = 300
Hence, the number of pre-sales tickets is given as 300.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
Answer: The answer would be 100.
Step-by-step explanation:
Evaluate the expression 5(7-4)2 ÷ 3 + 11.
Answers
Answer:
26
Step-by-step explanation:
I will assume you meant this: 5 ( 7-4)² ÷ 3 + 11
Using PEDMAS
Parentheses first
5 ( -3)² ÷ 3 + 11
then exponents
5 ( 9) ÷ 3 + 11
then division
5 * 3 + 11
and multiplication
15 + 11 then addition and or subtraction = 26
Answer:
Step-by-step explanation:
13. kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on
wednesday, 1/10 mile on thursday, and 9/10 mile on friday. use benchmark fractions to estimate the total
distance kara walked this week. explain your reasoning.
Answers
The total distance, in miles, that kara walked at the park this week is 57/20.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on wednesday, 1/10 mile on thursday, and 9/10 mile on friday.
Now, in order to find the total distance, in miles, that kara walked at the park this week.
kara walked on Monday = 7/8
kara walked on Tuesday = 3/5
kara walked on wednesday = 4/10
kara walked on thursday=1/10
kara walked on friday= 9/10
Now, to get the total distance in miles by adding both the miles she walked this week:
7/8 + 3/5 +4/10 + 1/10 + 9/10
35/40 + 24 / 40 + 14/10
59/40 + 14/10
114/40
57/20
Therefore, the total distance, in miles, that kara walked at the park this week is 57/20.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ4
Solve the quadratic equation by completing the square.
x²+12x+33=0
Answers
[tex]x^2 + 12x=-33 \\ \\ x^2 + 12x+36=3 \\ \\ \boxed{(x+6)^2=3} \\ \\ x+6=\pm \sqrt{3} \\ \\ \boxed{x=-6 \pm \sqrt{3}}[/tex]
i need help can some help me
Answers
The width and the length of the rectangle are equal to 6√5 units and 3√5 units, respectively.
What are the dimensions of the rectangle?
In this problem we find the area of the rectangle and the ratio of the length to the width of the figure. Mathematically speaking, the area of the rectangle is described by the following formula:
A = (2 · x) · x
A = 2 · x²
If the area of the rectangle is equal to 90 square units, then the width of the rectangle is:
2 · x² = 90
x² = 45
x² = 3² × 5
x = 3√5
The width of the rectangle is equal to 3√5 units. By the given ratio, the length of the rectangle is equal to 6√5 units.
Therefore, the length and width of the rectangle are equal to 6√5 units and 3√5 units, respectively.
RemarkThe lower part of the picture is not related to the statement.
To learn more on rectangles: https://brainly.com/question/14207995
#SPJ1
Samir just got hired for a new job and will make $50,000 in his first year. Samir was told that he can expect to get raises of $2,500 every year going forward. How much money in salary would Samir make in his 29th year working at this job?
Answers
122.500$
First hello I hope you are doing. The first step is to multiply 2.500 with 29 and the result is 72.500$ . Then you add the 50.000$ to 72.500$ which is the raise and you have the result which is 122.500$
I hope I helped you
A student believes there is a correlation between the number of texts sent during class and GPA. The student collected data and found that the line of fit can be modeled by the equation ŷ = 3.6 − 0.3x.
Identify and interpret the slope in this scenario.
The slope is −0.3. Starting at 3.6, the GPA will increase by 0.3 for every text sent in class.
The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.
The slope is 3.6. Starting at 0.3, the GPA will increase by 3.6 for every text sent in class.
The slope is 3.6. Starting at 0.3, the GP will decrease by 3.6 for every text sent in class.
Answers
Using linear function concepts, the correct option is given by:
The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, the function is:
y = 3.6 - 0.3x.
The function has a initial GPA of 3.6(student who sends 0 texts), then for each text the student sends, the GPA falls by 0.3(slope of -0.3), hence the correct option is:
The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
Please help and show how you did it!!
Answers
Answer
EAD= EBC true.
Step-by-step explanation:
Both triangles are equal. The line between AE and EB show the lines are equal. In turn this makes the sides AD and BC equal. DC are the same length as AE and EB. In short, all sides are equal so the triangles are the same.