Given ~
[tex] \tt \: f(x) = 2x² – 3x – 1[/tex]
[tex] \: [/tex]
put the value of x=8 in given function ~
[tex] \tt \: f(8) = 2 ({8})^{2} - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 2 (64) - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 128 - 24 - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 104 - 1[/tex]
[tex] \: [/tex]
[tex] \underline { \boxed{ \tt \red{f(8) = 103}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
The perimeter of a rectangle is 800 yards. What are the dimensions of the rectangle if the length is 50 yards more than the
width?
Answer:
The length is 225 yd, and the width is 175 yd.
Step-by-step explanation:
Let w = width.
Then the length = w + 50.
perimeter = 2(length + width)
800 = 2(w + 50 + w)
400 = 2w + 50
2w = 350
w = 175
w + 50 = 225
The length is 225 yd, and the width is 175 yd.
Answer:
225 * 175 yards,
Step-by-step explanation:
If the width is x then the length is x+50.
Perimeter = 2(width + length)
800 = 2( x + x + 50)
2x + 50 = 400
2x = 350
x = 175
So, the width is 175 yd and length is 225yd.
Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]
Hence,
The weighted average of a data set;
x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2
x = 360/10 = 36
Hence, The weighted average of a data set is 36.
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IF YOU JUST SIMPLY ANSWER!!!! 100 points!!!!
Answer:
hi loll
Step-by-step explanation:
5.69 ÷ 7
Please help I'm desperate
Show your work
Answer:0.81285714285
Step-by-step explanation: bc you are deviding by a desimal
Doctor smith wants to know how many veterinary students decide to pursue a career as a small animal practitioner. there are 27 veterinary schools in the usa, so he decides to randomly select 10% of the students from each school and asks them where they intend to practice one they finish veterinary school. is this an example of a simple random sample?
Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected.
Simple random sampling can be defined as the process of studying about large population by taking a small subset/sample.
In this method there is equal chance of every member of population to get selected.
According to the question there is equal chance for every student to get selected by Doctor smith.
Therefore , Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected by Doctor smith.
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The diagram shows a solid triangular prism with a cylindrical hole of radius r cm drilled through it. (i) The ratio of the volume of solid removed : volume of remaining solid is 1 : 6. Find the value of r. Using your answer in part (i), find the total surface area of the solid shown.
The value of the radius r is 9.35 cm.
The dimensions of the triangular prism is 62 cm × 62 cm × 85 cm.
The volume of the prism will be:
Volume = (1/2) × 62 × 62 × 85
Volume = 163370 cm³
Now,
The volume of solid removed: The volume of remaining solid = 1 : 6
Therefore,
The solid removed = ( 1 / 7 ) of the total volume
Solid removed = ( 1 / 7 ) × 163370
Solid removed = 23338.57 cm³ which is the volume of the cylindrical hole.
Now, the volume of the cylinder is:
V = π (r)² h
23338.57 = π (r)² × (85)
23338.57 = (3.142) × (r)² × (85)
23338.57 = 267.1 r²
r² = 87.38
r = √(87.38)
r = 9.35 cm
The surface area of the triangular prism:
A = (1/2) (b) (h)
A = (1/2) (85)(62)
A = 2653 cm²
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In the coordinate plane, the point X (2, 2) is translated to the point X (0, 4). Under the same translation, the points Y(-2, 0) and Z (0, 6) are
translated to Y and Z', respectively. What are the coordinates of Y' and Z?
The points Y and Z after transition are (-4,-2) and (-2,4)
In this case, we are required to find x' and y' to find the direction of transition
x' =x coordinate of point 2 - x coordinate of point 1
= 0-2 = -2
y'= y coordinate of point 2 - y coordinate of point 1
=4-2 = 2
Now we are required to subtract these transition from the points given,
Transition of point Y = (-2-2 ,0-2) =(-4,-2)
Transition of point Z =(0-2,6-2) = (-2,4)
Hence the points after transition are Y as(-4,-2) and Z as (-2,4)
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If cos(t) = 2/9 and t is in the 1st quadrant, find sin(t)
Answer:
Step-by-step explanation:
We can start by solving for t using the fact that [tex]cos(t) = \frac{2}{9}[/tex].
[tex]t = cos^{-1}(\frac{2}{9}) = 77.16\\[/tex]
then using that value of t solve for sin(t)
sin(t) = 0.975
As cos(t) is given and t is in the first quadrant then sin(t) will be equal to 8.77/9.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the information in the question,
cos(t) = 2/9
As we know that cos θ = B/H
B = 2 and H = 9
Now, use Pythagoras's theorem,
H² = P² + B²
P² = 9² - 2²
P = √77
P = 8.77
We also know that sin θ = P/H
So, sin(t) = 8.77/9
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Given the matrices A and B shown below, find -2A + 2B.
A = [0 -6] B = [-8 -1]
Answer:
The and is –6
Step-by-step explanation:
–2A= –2[0 , –6]
2B= 2[–8 , –1]
–2A= –2 [0 , +12]
2B= 2[–16 , –2]
–2A + 2B=[0 ,12] + [–16 ,–2]
=[0+(–16) + 12+(–2)]
=[0–16+12–2]
= –16+10
= –6.
Hope it was helpful
Please Help I Do Not Understand. 20+ Points!
The sum of two numbers is 12. The difference of the same two numbers is -4. Find the two numbers.
Larger number
Smaller number
Answer:
let the number be x and y
Step-by-step explanation:
x+y=12
x-y=-4
here,
A party of 17 comes in the door. What is the leastnumber of tables needed to seat them together?
Answer: 1
Step-by-step explanation:
How big is the table? 1 table can fit all 17 people if the table is big enough.
solving factors finding answers for a b c and d
Step-by-step explanation:
a is 5, b is 24, c is 2 and d is 2
One batch of brown paint uses 8 of yellow paint and 3 cups of purple paint Tyler made a large amount of brown paint using 40 cups of yellow paint
Answer:
not sure what you were asking, but its 15 cups of purple paint
Write an absolute value expression you could use to find the absolute value of 3.1 + (-6.3)
The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
= 3.1 + (-6.3)
To find the absolute value of 3.1 + (-6.3):
= |3.1 + (-6.3)|
= |3.1 - 6.3|
= |-3.2|
= 3.2
Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.
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The width of a rectangle is 3 less than its length find the width of the rectangle if its perimeter is 26ft
The width of rectangle is 5 feet.
Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).
Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -
Perimeter = 2 × (length + width)
Keep the values in formula to find the value of width
26 = 2 × (x + x - 3)
Performing addition of variables inside the bracket
26 = 2 × (2x - 3)
Shifting 2 to other side of equation to find the value of x
2x - 3 = [tex]\frac{26}{2}[/tex]
Performing division to find the value of x
2x - 3 = 13
Shifting 3 to other side of equation to find the value of x
2x = 13 + 3
Performing addition to find the value of x
2x = 16
Shifting 2 as denominator to other side of equation to find the value of x
x = [tex]\frac{16}{2}[/tex]
Performing division to find the value of x
x = 8
So, length of rectangle is 8 feet
Width of rectangle = x - 3
Width of rectangle = 8 - 3
Width of rectangle = 5 feet
Hence, the width of rectangle is 5 feet.
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Use prime factorization to determine the greatest common factor of 180 and 504
Answer: 36
Step-by-step explanation:
First you plot down all the factors of 180.*
*180 1, 90 2, 60 3, etc.
Then you do the same for 504.*
*504 1, 252 2, etc.
Once you do that you look through and find the common factor, and you'll find that 180/5=36, and 504/14=36, finding you your GCF.
Find the equation of the line shown.
Answer: y=0.5x+0.5
Step-by-step explanation:
[tex]\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\\frac{x-1}{-3-1}=\frac{y-1}{-1-1} \\\\\frac{x-1}{-4}=\frac{y-1}{-2} \\[/tex]
Multiply both parts of the equation by -2:
[tex]\displaystyle\\\frac{x-1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2}+1 =y-1+1\\\\\frac{x}{2}+\frac{1}{2} =y \\[/tex]
Thus,
y=0.5x+0.5
Consider this solution to a problem. what is the number of the step where the mistake is made? question 4 options: step 1 step 2 step 3 step 4
In step 1 mistake has been made because negative multiplication gives a positive result but is written negative.
What is the equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Given that,
−4(6−y) + 4 = −4
By using distribution property
-24 + 4y + 4 = -4
But in the question +4y is written as -4y which is wrong.
Hence In step 1 negative multiplication gives a positive result but is written negative so in step 1 mistake has been made".
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The given question is not complete.
Consider this solution to a problem.
Problem: −4(6−y)+4=−4
Step 1: −24−4y+4=−4
Step 2: −20−4y=−4
Step 3: −4y=16
Step 4: y=−4
In the first response box, enter the number of the step where the mistake is made.
Samra's guardians invested money for her into a 529 College Savings Plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x) = 500(1.03)x. What is the meaning of the y-intercept in the context of the problem?
The percent rate of change is 500%.
The initial value of the investment is $500.
The principal amount put into the savings plan is $1.03.
The average rate of change that is occurring is 1.03.
The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
The given exponential function f(x) = 500(1.03)ˣ
Here x would be represented growth of the savings plan per year
To determine the y-intercept of the function
We have to substitute the value of x = 0 in the given function,
⇒ f(x) = 500(1.03)⁰
⇒ f(x) = 500(1)
⇒ f(x) = 500
Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.
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I would like the answers to one and two bit the bottom ones
The numeric values for the functions are given as follows:
6 - a) f(-2) = -13.
6 - b) g(4) = 11.
How to find the numeric value of a function?To find the numeric value of a function, we replace each instance of the variable by the desired value.
At item 6a, the function is given by:
f(x) = 5x - 3.
The numeric value at x = -2 is:
f(-2) = 5(-2) - 3 = -10 -3 = -13.
Hence f(-2) = -13.
At item 6b, the function is given by:
g(x) = 0.5x² + 3.
The numeric value at x = 4 is:
g(4) = 0.5(4)² + 3 = 8 + 3 = 11.
Hence g(4) = 11.
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The number of girls is 17 less than twice the number of boys. Right an equation about this description.
Answer:
g = 2b - 17
Step-by-step explanation:
Girls = g
Boys = b
g = 2b - 17
Box
30 cm
32 cm
15 cm
A wooden box measures 30 cm by 15 cm by 32 cm.
The box has a lid.
Carton
Can James put all 110 cartons in the box and shut the lid?
Show your working clearly.
5 cm
A carton measures 5 cm by 5 cm by 5 cm.
James has 110 cartons.
He wants to put all these cartons in the box and be able to shut the lid.
5 cm
5 cm
D
ac
What is the value of the absolute value expression |−134| + |4| − |−35|?
Answer:
174
Step-by-step explanation:
absolute value means the distance from zero. Distance is always measured with a positive number. If you asked me how far I lived from my work, I would never say -12 miles away. If I was going or coming to work, the distance would be the same 12 miles.
134 + 4 + 35 = 174
8. Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure (3 points)
of one of the angles formed is 72°, what are the measures of the other three angles? Explain
your answer.
Jorge, sandra, danny, and valeria each mowed lawns after school and on the
weekends for a month. sandra mowed one-third of the number of lawns as jorge
and danny mowed half as many lawns as jorge. if valeria mowed 16 lawns and
the group mowed a total of 49 lawns in the month, how many did jorge mow?
Jorge mowed 18 lawns.
Let the number of lawns mowed by Jorge =x
So according to the question
Number of lawns mowed by sandra = x/3
Number of lawns mowed by Danny =x/2
Number of lawns mowed by Valeria =16
sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.
[tex]x+\frac{x}{3} +\frac{x}{2} +16=49[/tex]
taking LCM as 6 and solving further we get
[tex]\frac{6x+2x+3x+96}{6} =49[/tex]
By cross Multiplying we get
11x+96=294
11x=198
Solving further for x,
x=198/11
x=18
Therefore, the number of lawns mowed by Jorge is 18 .
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X(2x-5) = 12
How to solve for x?
Answer:
[tex]x=4,\:x=-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]x\left(2x-5\right)[/tex]
Apply the distributive law.
[tex]=x\cdot \:2x-x\cdot \:5[/tex]
[tex]=2x^2-5x[/tex]
[tex]2x^2-5x=12[/tex]
Subtract 12 from both sides.
[tex]2x^2-5x-12=12-12[/tex]
[tex]2x^2-5x-12=0[/tex]
Now, apply the quadratic formula.
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}[/tex]
Separate the solutions.
[tex]x_1=\frac{-\left(-5\right)+11}{2\cdot \:2},\:x_2=\frac{-\left(-5\right)-11}{2\cdot \:2}[/tex]
Simplify.
[tex]x=4,\:x=-\frac{3}{2}[/tex]
Need help now please Due today! Substitution: 1. (x+5)^2 -y ; x= -2 y=1 2. 3x+4y^2 ; x=-3 y=5
The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
Given the 2 equations,
1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
Equation 1
⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }
⇒[tex]3^{2}[/tex]-1
⇒9-1
⇒8
Equation 2
⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
⇒3(-3)+4[tex](5)^{2}[/tex] {substituting x=-3 and y=5 }
⇒-9+4(25)
⇒-9+100
⇒91
Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
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If g(x) =4x²+2x-24,what is g(2)?
Answer:
-4
Step-by-step explanation:
x is a variable, so to do g(2) you have to write g(x), but substitute 2 in place of x:
g(2) = 4*2² + 2*2 - 24 = 16 + 4 - 24 = -4
What is walmart's ebit for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)?
Walmart's EBIT for the year 2018 is $17,101.
What is EBIT?Earnings before interest and taxes (EBIT) is a measure of a company's profit that includes all income and expenses (operating and non-operating) except interest and income tax expenses (for individuals).When a company does not have non-operating income or non-operating expenses, operating income and operating profit are sometimes used as synonyms for EBIT.To find Walmart's EBIT:
9,862 + 661+ 4,600 + (1,826 + 152) = $17,101Therefore, Walmart's EBIT for the year 2018 is $17,101.
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The correct question is given below:
What is Walmart's EBIT for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)?
EBIT= net income (Listed as "Net IncomeAvail to Common, GAAP" in Statement) + net income attributable to noncontrolling interest ("Listed as Income Loss Incl. MI Minority Interest" on Statement) + income taxes + interest expense (Interest Expense Net + "Interest Income" from the Statement ) (A financial statement would be provided).