Given:
The function is
[tex]f(x)=4x-8[/tex]
To find:
The input of the function when the output is 20.
Solution:
We have,
[tex]f(x)=4x-8[/tex]
Here, x is input and f(x) is output.
Put f(x)=20 in the given function to find the input of the function when the output is 20.
[tex]20=4x-8[/tex]
[tex]20+8=4x[/tex]
[tex]28=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{28}{4}=x[/tex]
[tex]7=x[/tex]
Therefore, the required input value is 7.
V/8=2
Find the value of V?
Answer:
16
Step-by-step explanation:
Basic Algebra, isolate V.
Do the opposite equation to get V on its own.
Because it is V/8, multiply both sides by 8 to get 8 on its own (if you wanted to move v over you would divide)
[tex]\frac{v}{8} =2[/tex]
[tex]v =2*8[/tex]
[tex]v =16[/tex]
A rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. Determine the area of the lawn that is being watered. Use 3.14 for pi. Round to the nearest tenth.
Answer:
69.1²feet
Step-by-step explanation:
area = pi x r²
11x2= 22
22x 3.14 = 69.08
69.1
The area of the lawn that is being watered is, 380.1 feet².
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
here, we have,
area = pi x r²
so,
11^2= 121
121x 3.14
= 380.1
Hence, The area of the lawn that is being watered is, 380.1 feet².
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Simplify: 5(6-ab)+2(-7+3ab)
Answer: ab + 16 fsxewcvrvfe
Answer:
16+ab
Step-by-step explanation:
5(6-ab)+2(-7+3ab)
30-5ab-14+6ab (distribute)
16-5ab+6ab (subtract)
16+ab (collect like terms)
Write the equation of the line that has m = -1/2 and containing the point [4,-5]
Answer:
y=-1/2x-3 = slope-intercept
y+5=-1/2(x-4) = point-slope
Step-by-step explanation:
I used the slope and the point provided to get other points and eventually the y-intercept to complete the slope-intercept equation.
I plugged in the numbers provided to get the point-slope equation.
There were 10 students in a teacher's classroom. The next week, there were 19 students. What is the percent increase
of the number of students?
Class commante
Answer:
Step-by-step explanation:
Help................
Answer:
C
Step-by-step explanation:
Write an expression for the total cost of movie tickets and popcorn for a group of friends attending a movie, x, if: Movie tickets cost $8.50 each and Each friend will have a box of popcorn that cost $2.25 each. Let x represent the number of friends attending the movie.
Answer: 8.50x + 2.25x
Step-by-step explanation:
Which graph represents the function y = cos(4x)?
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at pi. It crosses the y-axis at (0, 1).
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at StartFraction pi Over 2 EndFraction. It crosses the y-axis at (0, 1).
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at pi. It crosses the y-axis at (0, 0).
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at StartFraction pi Over 2 EndFraction. It crosses the y-axis at (0, 0).
Mark this and return
Answer:
C. on edge
Step-by-step
The graph that represents the function, based on the maximum and minimum values, and the period of the function, y = cos(4·x) is the option;
On a coordinate plane, a function has a maximum value at 1, and a minimum at negative 1. It completes one period at π/2. It crosses the x-axis at (0, 1)What is the period of a function?The period of a function is the length of the smallest interval over which the function repeats its values.
The function y = cos(4·x) has a maximum value of 1 and a minimum value of -1. '
The period of the function is; 2·π/|4| = π/2, which indicates that the function completes a cycle in an interval of π/2.
The function crosses the y-axis at x = 0, at which y = cos(4 × 0) = 1
The above information indicates that the graph that represents the function is the one that has a maximum of 1 and a minimum, of -1, completes a period at π/2, crosses the y-axis at (0, 1)
The correct option is therefore;
On a coordinate plane, a function has a maximum at 1, and minimum at negative 1. It completes one period at π/2. It crosses the y-axis at (0, 1)
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Which table shows a proportional relationship between x and y?
x 2 3 5 6
y 3 4 7 9
x 1 5 8 10
y 15 75 120 150
x 4 6 8 10
y 6 8 10 12
x 3 9 10 15
y 1 3 4 5
Answer:
The third table.
Step-by-step explanation:
To have a proportional relationship there must be a constant rate of change
6-5 / 9-7 = 1 /2
5-3 /7-4 = 2/3
these are different so this is not a proportional relationship
10-8 /150-120 =2/30
8-5 /120-75 =3/45
these are different so this is not a proportional relationship
10-8 /12-10 =2/2 =1
8-6 /10-8 =2/2= 1
These are the same therefore it is proportional
the value of a car decreases by 20 percent each year. Mr. sing purchases a 22,000 automobile. What is the value of the car at the end of the second year?
Answer:
Step-by-step explanation:
13,200
Answer:
Step-by-step explanation:
17600
can someone help me figure this out?
Answer:
Il try So try to see what angle it is at
Step-by-step explanation:
I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell? CAN SOMEONE ANSWER IT PLZ
9514 1404 393
Answer:
12 muffins15 cookiesStep-by-step explanation:
Often, you can work these problems in your head.
If you sold all cookies, your revenue would have been 27×3 = 81. It was 129-81 = 48 more than that. Each muffin generates 4 more revenue than a cookie dies, so there must have been 48/4 = 12 muffins. The 27-12 = 15 were cookies.
You sold 15 cookies and 12 muffins.
__
If you let a variable represent the most expensive item (m for muffins), then you can write an equation for the revenue. You may recognize that some of the steps in the solution match the "verbal" solution above.
3(27 -m) +7m = 129
4m +81 = 129
4m = 129 -81 = 48
m = 48/4 = 12 . . . muffins
27-12 = 15 . . . cookies
A really tough trivia quiz has 50 multiple-choice questions, each with four possibleanswers. Use a normal approximation to calculate the probability of randomly guessing the correct answers for at least half of the questions.
Answer:
0.00004
Step-by-step explanation:
Given that:
n = 50
Number of options = 4 ; 1 is the correct answer
Hence ;
p = 1/4 = 0.25
Using normal approximation :
Mean (m) = np = 50 * 0. 25 = 12.5
Standard deviation (s) = √(n*p*q)
q = 1 - p = 1 - 0. 25 = 0.75
s = √(50*0.25*0.75) = 3.062
At least half the question :
Half the question = 1/2 * 50 = 25
P(X ≥ 25) = P(X ≥ 24.5)
(x - m) / s
P(X ≥ 24.5) = (24.5 - 12.5) / 3.062
= 12 / 3.062
= 3.919
P(Z ≥ 3.919) = 0.00004 (Z probability calculator)
A number multiplied by 2 is no more than 12
X > 12
x < 12
2<_12
2x > 12
A town's population is 33,600. About 125 people move out of the town each month. Each month, 150 people on average move into town. A nearby town has a population of 35,000. It has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question Which equation models the situation? OA. 150m + 125m + 35,000 = 33,600 + 150m OB. 150m - 125m + 35,000 = 33,600 - 150m O C. 150m - 125m +33,600 = 35,000 - 150m OD. 150m + 125m +33,600 = 35,000 + 150m
Answer:
I believe it to be C
Step-by-step explanation:
Answer:
The answer came up as D actually.
Step-by-step explanation:
N/A
Beth was given an equation to solve when she solved the equation she got the correct answer of x equals 7 explain what this solution tells her about the original equation
To anybody who is really good at math can you click on the image and answer the 4 questions please and thanks!
Answer:
I did this erlier but...
1) Wallmart
2)16 Oz
3)You woluld save 7 cent per pound by choosing the 11 lbs turkey.
4)You would save $2.00 per notebook. You would save $10.00 buy buying 5.
Step-by-step explanation:
You divide the price by size.
Exaple:
3.99/12
whats the equation of the line shown below
Answer:
y = -3x + 3.
Step-by-step explanation:
The marked points on the line are (0, 3) and (1, 0) so:
the slope is (3 - 0) / (0 - 1) = -3.
The y-intercept is y = 3.
Therefore the equation of this line is y = -3x + 3.
7(2x + 5) = 4x - 9 - x
what is x
Answer:
x=4
Step-by-step explanation:
7(2x+5)=4x-9-x
14x+35=4x-9-x
14x+35=3x-9
14x=3x-44
11x=44
x=4
Write an equation of a parabola in standard form that has a vertex of (-3,-4) and passes through (1,4)
As we know vertex -
[tex]y=a(x+3)^2-4[/tex]
Passes through (1,4). Substitute x = 1 and y = 4
[tex]4=a(1+3)^2-4\\4=a(4)^2-4\\4=16a-4\\4+4=16a\\16a=8\\a=\frac{8}{16}\\a=\frac{1}{2}[/tex]
Therefore the vertex equation is [tex]y=\frac{1}{2}(x+3)^2-4[/tex]
Since you want the "standard" form then..
[tex]y=\frac{1}{2}(x^2+6x+1)\\y=\frac{1}{2}x^2+3x+\frac{1}{2}[/tex]
So the standard form is 1/2x^2 + 3x + 1/2
You lift weights. The most you have lifted is 65 pounds. You use 10-pound plates and 5-pound plates. Write an equation that represents the weights used
when you lift 65 pounds
Which statements are true about opposites? choose all that apply
Hello if anyone can help me with this that would be much appreciated'
Answer:
it is A hope this helps:)
If the rectangle below is enlarged using a scale factor of 3.5, what will be the PERIMETER of the new rectangle?
Answer: 3.5 x 2 = 7.0
8 x 2 = 16
Step-by-step explanation:
23.0
What is the purpose and importance of a linear function?
Answer:
Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.
Step-by-step explanation:
Answer:
Welcome to brainly and, The linear function is popular in economics. It is attractive because it is simple and easy to handle mathematically. It has many important applications. Linear functions are those whose graph is a straight line. A linear function has the following form. I will will u an example that its looks like this : y = f (x) = a + bx. A linear function has one independent variable and one dependent variable.
Is it 1,2,3,4 .................
Answer:
200 +50x
Hope This Helps!
The cost of a compact disc is $18. Mrs. Meridth bought 3 discs and received a 15% discount. If the sales tax is 8.8%, find the total price. Show each step.
Answer:
$49.572
Step-by-step explanation:
Given that :
Cost per disc = $18
Number of disc purchased = 3
Discount received = 15%
Sales tax = 8%
Original cost : cost per dic * number purchased
Original cost = $18 * 3 = $54
Discounted price = (100 - 15)% * $54
Discounted price = $45.9
Sales tax :
(100 + 8)% of $45.9
108% * $45.9
= $49.572
Total price = $49.572
is 20 a prime or composite number.
Answer: It is a composite number since it has more factors than just itself and 1.
Step-by-step explanation:
1x20=20
2x10=20
4x5=20
Answer:
composite
Step-by-step explanation:
It has factors other than 1 and 20; Its factors are 1, 2, 4, 5, 10, and 20.
HTH :)
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
9x - 4 = 5x - 4 + 4x
9x -4 = 9x -4
+4. + 4
9x = 9x
÷9. ÷9
X = 1
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
PLEASE QUICKLY HELP ME!!
The side of a square measures (4x − 7) units.
Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
(10 points)
Answer:
Part A: 16x^2 -56x+49
I'm not quite sure on Part B and C though, sorry :/.
Step-by-step explanation:
To find the expression we need to solve (4x-7)•(4x-7)
4x•4x = 16x^2
4x•-7= -28x
-7•4x= -28x
-7•-7=49
Combine alike terms
16x^2-56x+49
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
