The function with the largest slope would be f(x) = 1.5
What is the slope in math?
The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").For f(x), choose any two points say (-3,-10) and (-1,-7) where
x1 = -3 ; y1 = -10 ; x2 = -1 ; y2 = -7
Find the slope (m)
m=(y2 - y1) / (x2 - x1) = (-7 - -10)/ (-1 - -3) = 3/2 or 1.5
slope of f(x) = 1.5
g(x) = 1/2 x + 3
standard formula: y = mx + b where m is the slope.
slope of g(x) = 1/2 or 0.5
Since lance gains 1 level every time he plays,
slope = 1/1 = 1 so, slope of h(x) = 1
the function with the largest slope would be f(x) = 1.5
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Solve the system of inequalities by graphing.
3x + 4y ≥ 16
-4x+6y < 30
x= -0.706, y= 4.529
The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.
3x+4y z 16
-4x+6y< 30
Solving the two equations we get,
x=-0.706, Y= 4.529
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10. A Cube-root function with a reflection across the y-axis; a vertex of (4,0).
We need to know about cube-root function and reflection to solve this problem. The function is f(x)=[tex]-\sqrt[3]{x-4}[/tex]
A cube-root function is the inverse of a cubic function, a cubic function can be given by f(x)=[tex]x^{3}[/tex], the inverse of this is a cube-root function which can be given by f(x)=[tex]\sqrt[3]{x}[/tex] with vertex at (0,0). The general formula for a cube root function is given be
f(x)=a[tex]\sqrt[3]{x-h} +k[/tex] where a is the measure of how horizontally compressed the graph is and (h,k) is the vertex of the graph. In the question we have to find a cube root function which has been reflected about the y-axis, which means our a will be negative. The vertex of the graph is at (4,0) so (h,k) is (4,0). Thus the cube root function we need is
f(x)=-[tex]\sqrt[3]{x-4}[/tex]
Therefore we found the cube root function that has been reflected about y-axis and the vertex at (4,0) to be f(x)=[tex]-\sqrt[3]{x-4}[/tex]
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Scores
14
8
13
10
20
12
11
Find the students median quiz score
Answer:
In ascending order:8,10,11,12,13,14,20
N=7
Step-by-step explanation:
Position of median=(N+1/2)th item
=(7+1/2)th item
(8/2)th item
4th item
=:4th item =12
So,12is median quiz score.
Hope this helpful for you.
need help like rn pls!!!
Answer:
x = 3
Step-by-step explanation:
Separate | 2 + x | = | x - 8 | into 2 possibilities
2 + x = x - 8
2 + x = -x + 8 (right side's signs are swapped)
Solve the equations:
Top equation results in no solution as the x's cancel out.
2 + x = -x + 8
2x = 6
x = 3
| 2 + 3 | = | 3 - 8 |
| 5 | = | -5 |
5 = 5
This is the correct solution.
Let's solve the problem,
→ |2 + x| = |x - 8|
→ 2 + x = -(x - 8)
→ 2 + x = -x + 8
→ x + x = 8 - 2
→ x = 6/2 = 3
Hence, the value is 3.
A survey from the Department of Motor Vehicles was given to residents in the city of Smallville. The results showed that 80% held a valid driver’s license. Of the individuals who held a value driver’s license, 10% has at least one traffic violation, whereas 30% who did not have a valid driver’s license has at least one traffic violation. What percent of Smallville residents have at least one traffic violation?
A. 14%
B. 28%
C. 38%
D. 40%
Percent of residents have at least one traffic violation with 80% held a valid driver’s license,10% has at least one traffic violation and 30% does not have valid license is 14%.
As given,
A=Person has a driver license
A'=Person does not have a driver license
P(A)=0.80
P(A')=0.20
For A, 10% has at least one traffic violation
For A', 30% had at least one traffic violation.
Probability with at least one traffic violation
=Probability of( A and one traffic violation +A' and one traffic violation)
=0.80(0.10)+0.20(0.30)
=0.08+0.06
=0.14
=14%
Therefore, percent of the residents with at least one traffic violation is 14%.
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Are 12,16,20 pythagorean triplets. Explain why.
Answer:Yes,these are pythagorean triplets because you can divide all three by the same number which is 4.
Step-by-step explanation:12 divided by 4 is 3. 16 divided by 4 is 4. And 20 divided by 4 is 5.
Answer:
Yes
Step-by-step explanation:
They all have a scale factor of 4 and 3,4,5 are also Pythagorean triplets
Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?
PLEASE AN EXPERT THIS IS WORTH 50 POINTS!!!!!!!!!
Type either> or < in the blank.
X
95⁰
y
Answer:
<
Step-by-step explanation:
Since the angle is greater than 95, y must be greater than x
Complete the sentence. The distance between 4 and 17 is
Answer:
13
Step-by-step explanation:
You just have to minus 17 with 4 to get the answer!
Distance = 17 - 4 = 13 units
Factor completely: 5n^2 - 80
Answer:
Step-by-step explanation:
Factoring 5n2-9n-2
The first term is, 5n2 its coefficient is 5 .
The middle term is, -9n its coefficient is -9 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 5 • -2 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -9 .
-10 + 1 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 1
5n2 - 10n + 1n - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
5n • (n-2)
Add up the last 2 terms, pulling out common factors :
1 • (n-2)
Step-5 : Add up the four terms of step 4 :
(5n+1) • (n-2)
Which is the desired factorization
The stock market closed on Tuesday at
-284 points. On Wednesday, it closed at -8
points. Find the change in points from
Tuesday to Wednesday.
-2 9 2 is the change in points from Tuesday to Wednesday in stock market.
What does the term "stock market" mean?
Buyers and sellers can trade equity shares of public firms in stock exchanges. Due to their ability to democratize access to investor trading and capital exchange, stock markets are essential elements of a free-market economy. Prices are discovered and traded in stock markets in an efficient manner.What does the stock market represent?
ETFs, stock index and stock options, equity swaps, single-stock futures, and stock index futures are a few examples. These last two may be traded over-the-counter or on futures exchanges, which are separate from stock exchanges and have a history that may be traced back to commodities futures markets.The stock market closed on Tuesday = -284 points
On Wednesday it closed = -8
the change in points from Tuesday to Wednesday = -284 - 8 = -2 9 2
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3. Which of the following is an incorrect way to label the line in the diagram below?
Answer: The incorrect label is (line g)
Step-by-step explanation: Line G is incorrect because G is a point. All the other options describe a line.
Each 3 sisters intends to pay an equal share of the cost of a christmas gift for their mother. the total cost of the gift including tax is $25.50 how much should each sister pay?
Answer:
$8.50
Step-by-step explanation:
This is a division problem.
You need to divide $25.50 by 3.
25.5/3 = 8.5
Answer: Each sister pays $8.50.
Answer:
$8.50
Step-by-step explanation:
Since the gift is $25.50, including tax, and there are three sisters, divide the cost of the gift ($25.50) by the number of sisters (3) to find how much each one of them has to pay.
25.50 ÷ 3
= $8.50
Each sister should pay $8.50.
Have a lovely rest of your day! :)
solve the equation2 ( x-4 ) = -22
Answer:9
Step-by-step explanation:
9
Answer:
x = -7
Step-by-step explanation:
2(x-4) = -22
2*x + 2*-4 = -22
2x - 8 = -22
2x = -22 + 8
2x = -14
x = -14/2
x = -7
Check:
2(-7-4) = -22
2*-11 = -22
Tyra launches a rocket in the air, and her physics teacher told her if h is height and t is time, she can find the height of the rocket at any given time using: h(t)= -16t^2+50t
Interpret the meaning of the point (3.125,0) in terms of the problem situation
The points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet
How to determine the value
Given the function;
h(t)= -16t^2+50t
Where;
h is the height of the rocket t is the time taken to reach the heightThe time interval to reach the height of the rocket is ( 3. 125 , 0)
Time interval, t = 0 - 3. 125
Time interval, t = -3. 125
Substitute the value into the formula
h(t) = - 16(-3. 125)² + 50(-3. 125)
h(t) = -16(9. 765) - 156. 25
h(t) = - 156. 25 - 156. 25
h(t) = -312. 5 feet
Thus, the points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet
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A community center sells a total of 297 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $ 487 in ticket sales. Find the number of each type of ticket sold.
If 4(x-3) = 5x+2, then x=
a. -14
b. -5
c. -1/9
Answer:
The answer is A
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
a = -14
Step-by-step explanation:
4(x-3)=5x+2
distribute the 4 to what is inside the parenthesis by multiplying
4x-12=5x+2
add 12 to both sides
4x=5x+14
subtract 5x from both sides
-x= 14
x= -14
therefore the answer is A. i hope this explanation helps and if you have any questions feel free to ask!
About 70% of people are right-handed. Of 352students in a school. Which is a reasonable number of right-handed students ?
Answer: 246 right-handed students
Step-by-step explanation:
70%=
70/100=0.7
352*0.7=246.4
246.4=246 right-handed students ==> I rounded the answer since you can have 246 students and an additional 0.4 students. You can't have part of a student.
If cot 0=7/8 evaluate : (i) (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) (ii) cot¹0
Answer: The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086
and [tex]cot^{1}[/tex]θ=7/8
Step-by-step explanation:
Let base and height of a triangle be 7k and 8k
By applying Pythagoras theorem in Δ ABC, we get
[tex]AC^{2} = AB^{2} +BC^{2}[/tex]
= (7k)2 + (8k)2
= 49k2 + 64k2
= 113k2
AC = √113k2
= √113k
so hypotenuse =[tex]\sqrt{133}k[/tex];
now ;
=(1 + sin θ) (1 - sin θ)(1 + cos θ) (1 - cos θ)[since : (a + b)(a - b) = (a2 - b2)]
=(1 - [tex]sin^{2}[/tex]θ)(1 - [tex]cos^{2}[/tex]θ)
=[1 - (8/√113)2] [1 - (7/√113)2]
= (1 - 64/113) (1 - 49/113)
= (49/113) (64/113)
= 0.2086
hence;
The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086
and [tex]cot^{1}[/tex]θ=7/8
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Answer:
Step-by-step explanation:We will use the basic concepts of trigonometric ratios to solve the problem.
Consider ΔABC as shown below where angle B is a right angle.
If cot θ = 7/8, evaluate: (i) (1 + sin θ)(1 - sin θ) / (1 + cos θ)(1- cos θ), (ii) cot²θ
cot θ = side adjacent to θ / side opposite to θ = AB/BC = 7/8
Let AB = 7k and BC = 8k, where k is a positive integer.
By applying Pythagoras theorem in Δ ABC, we get
AC2 = AB2 + BC2
= (7k)2 + (8k)2
= 49k2 + 64k2
= 113k2
AC = √113k2
= √113k
Therefore, sin θ = side opposite to θ / hypotenuse = BC/AC = 8k/√113k = 8/√113
cos θ = side adjacent to θ / hypotenuse = AB/AC = 7k/√113k = 7/√113
(i) (1 + sin θ) (1 - sin θ) / (1 + cos θ) (1 - cos θ) = 1 - sin2θ / 1 - cos2θ [Since, (a + b)(a - b) = (a2 - b2)]
= [1 - (8/√113)2] / [1 - (7/√113)2]
= (1 - 64/113) / (1 - 49/113)
= (49/113) / (64/113)
(ii) cotФ≈
= 49/64
Pia poured 1/4 pint of milk into an empty mug. The milk filled 2/3 of the mug.
How many pints of milk will fill an empty mug of the same size?
3/8 pints of milk will fill an empty mug of the same size.
In this question, we have been given Pia poured 1/4 pint of milk into an empty mug.
The milk filled 2/3 of the mug.
We need to find the pints of milk that will fill an empty mug of the same size.
Let 'm' pints of milk will fill an empty mug of the same size.
From given data, we get proportion.
⇒ (1/4) / (2/3) = m / 1
We simplify above equation to find the value of m.
⇒ (2/3) m = 1/4
⇒ m = (1/4) × (3/2)
⇒ m = 3/8
Therefore, 3/8 pints of milk will fill an empty mug of the same size.
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Graph the following system of equations.
3x + 6y = 6
2x + 2y = 6
What is the solution to the system?
A)There are infinitely many solutions.
B)There is one unique solution, (4, -1).
C)There is one unique solution, (6, -2).
D)There is no solution.
The solution for the system of equations 3x + 6y = 6 and 2x + 2y = 6 is
B) There is one unique solution, (4, -1).
What is a solution for a system of equations?The solutions for a system of equation is the intersecting points between them
We know that system of equations has an infinite number of solutions when they coincide with each other as every point of a line falls into another line.
Systems of equations have a unique solution when they intersect each other and that intersecting point is the solution.
The system of equations has no solution when they are parallel to each other.
So, now we'll graph this system of equations and observe where they lie in XY coordinate.
Observing the graphs of both of these equations we can conclude that they have a unique solution (4,-1).
We can also solve these equations by multiplying equation(ii) by 3 and subtracting it from equation(i) and obtaining the values of (x,y).
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flip a coin will be flipped three times, and the number of heads recorded. explain why this is a binomial experiment. check all four required conditions.
When a coin will be flipped three times, and the number of heads recorded. The reason that, this is a binomial experiment is "there are a set number of trials, n. The coin would be flipped three times, a fixed number of times."
What is binomial experiment?A binomial experiment is one that has a fixed number of independent trials only with two outcomes. For instance, the outcome could be a yes or no response. When you toss a coin, you might wonder, "Will I get heads?" The response is either yes or even no.
That is the basic idea, but in order to label an experiment a binomial experiment, the following rules must be followed.
There must be a set number of trials. It should go without simply stating; if you don't have a set number of trials, you could keep tossing that coin indefinitely.Each trial is a separate event. "Independent" means that each time you duplicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.Each trial is a separate event. "Independent" means that each time you replicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.To know more about the binomial experiment, here
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A submarine starts at 0 units and has groups of 3 floats and groups of 4 anchors attached.
Using these groups of floats and anchors, write as many different expressions as you can that would make the submarine's final position -5 units.
The following are three equivalent expressions for the submarine's final position:
-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)
What is defined as the equivalent expressions?Equivalent expressions have been expressions that perform the same function despite their appearance. If 2 algebraic expressions have become equivalent, they have the same value when the same value(s) for variable are used (s).Equivalent Expressions Examples:3(x + 2) and 3x + 6 have been equivalent expressions since their values remain constant for any value of x.Based on the question,
Each float advances by 5 units.Each group takes a two-unit step.As a result, the submarine's final position is:
Final = -(5)(3) - (2)(4)
The minus "-" symbol indicates that the submarine is sinking.
Thus, the following are equivalent expressions for the submarine's final position:
-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)
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Which is more affected by extreme observations, the mean or median? and how about the standard deviation or iqr?
Mean and standard deviation is more affected by extreme observations.
Mean is the summation of all the values divided by the total number of values. It is also called as average. Median is the middle value.Standard deviation is the dispersion of a dataset relative to its mean. In case of extreme items arithmetic mean is affected very much. For this reason, it no longer remains representative of the distribution. As standard deviation is the positive square root of the arithmetic mean of the square of deviations of all given values, it is also affected by extreme items. As median is a partition value, it is not affected by extreme items.
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J + 6 4/7 = 12 1/21
What is j
Three answers all equivalent:
5.476190...
115/21
5 10/21
pick whichever is applicable, they are all the same
Answer:
68 tadkfidekmfmvovovffrffffgDeondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to
be 35.25 meters. She stands 31.2 meters away from the tree, so that the tip of her
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
Answer:
If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m
Given:
Denora height=1.35 meters
Length =35.25 meters
Width =31.2 meters
Height of the tree=x
Proportion:
1.35 : 35.25 :: x : 31.2
Now let's determine the height of the tree:
35.25 - 31.2 / 1.35 = 35.25 / x
4.05 / 1.35 = 35.25 / x
Cross multiply
4.05x = 35.25 × 1.35
4.05x = 47.58
Divide both sides
x = 47.58 / 4.05
x = 11.74
In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m
Form a hypothesis to explain why the melting points of different solids vary.
Answer:
Different solids have different melting points depending on the strength of bonding between the particles and the mass of the particles. Essentially, the heavier the particles in the solid, and the stronger the bonding, the higher the melting point.
Step-by-step explanation:
Hope this helps!
Write an absolute value inequality for the graph below.
Use x for your variable.
Answer: The absolute value inequality will be |x| ≥ -2.
Step-by-step explanation: gl :)
Answer:
more simple here da answer but this answer is from the person above i just putted the answer
The absolute value inequality will be |x| ≥ 6
Need help ASAP please !!!!
Answer:
The answer is D.
Step-by-step explanation:
How can this be done?
Answer:
267.948
Step-by-step explanation:
But looking at the question, it wants us to convert feet to kilometers and seconds to hours. First let's start with feet, 1 foot is equal to about .305 meters. Okay we can set up an equation to find out what we should do so since its asking us to convert 245 feet into meters. We need to put the units in it for this. We need to get rid of the feet and replace it with meters. The only way to get rid of the feet is dividing it by feet. However, we are also trying to put it into meters. As I wrote earlier, 1 foot is equal to .305m so we can just plug it in. The ft cancel out and all we need to do is just multiply. Since 1 feet is .305 meters, we can just multiply 245 by .305 to get 245 feet in meters. It would be about 74.73. Okay, we have it in meters, but it is asking for kilometers. We need to do the same process again. We should remember that 1000 meter are in 1 kilometer. We need to convert the meters into kilometers then seconds into hours. We can use the same process here. The unit you are cancelling out always has to be on the bottom. Okay, that just leaves 74.43 x (1/1000), or it can be just 74.43/1000 and both are the same thing. You're trying to get feet into kilometers, so the number should be pretty small. There are 1000 meters in 1 kilometer, so you need to divide the meters by 1000 to put it into kilometers. That's basically what we are doing here but with units. That comes out to be .07443, not our final answer though. We just need to convert seconds to hours which is easy. We know that 60 seconds is in a minute and 60 minutes are in the hour. Now we just need to multiply these 2 together. 60 x 60 = 3,600. If we look at the question its saying kilometers per hour. So we have to divide the kilometers by the 3600. 3600 seconds is equal to 1 hour and .07443 km is still in per second since we didn't change it. 3600 has to be on top because we have to cancel out the units. This is why I put the units. Okay that just leaves .07443 x 3600. When we solve .07443 x 3600 we would get our final answer. (Remember the steps: we first converted feet into meters, then into kilometers. then we converted seconds into hours)
.07443 x 3600 = 267.948 Therefore our final answer is 267.948.