The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.

Find the slope: change in y over change in x:

Slope = 30 - -5/ 6- -1 = 35/7 = 5

Find y intercept (the y value when x is 0)

Y = 5(0) = 0

There is no y intercept

The function rule would be:

Y = 5x

Answer:

y=-47

Step-by-step explanation:

12(y-8)=14y-2

12y-96=14y-2

-96=14y-2-12y

-96=2y-2

-96+2=2y

-94=2y

-94/2=y

-47=y

y=-47

Answer:

-47

Step-by-step explanation:

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

Answer:

A

Step-by-step explanation:

a drop means subtraction and rising means addition

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Answer:

Answer is A

Step-by-step explanation:

because 2 × $11.50 is for adult tickets

$8 × 4 is for childrens tickets

and the equation would represent the total cost

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer:

4

Step-by-step explanation:

Jimmy is eating appetizers that

have 120 calories each. He only

plans to eat 550 calories overall.

Write an inequality and determine

the most appetizers he can eat

without exceeding the limit.

He can eat 4.

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

Answer:

16.69 cm³

Step-by-step explanation:

In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism

Volume of the cylinder assuming there is no prism through it

V=πr²h  where r is radius of the cylinder and h is height of the cylinder

Given that diameter = 2, then r= 1 cm  and height, h = 6cm

V= π * 1 * 1 * 6

V= 18.85 cm³

Volume of the rectangular prism

V= l*w*h

V= 6*0.6*0.6

V= 2.16 cm³

The volume of the cylinder without the prism

18.85 cm³-2.16 cm³ = 16.69 cm³

Answer:

Not an answer

Step-by-step explanation:

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

Answer:

2x + 7= 4x + 17

x=−5

Answer: The answer is 8

Step-by-step explanation: 8 x 25 =200

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Answer:

3*6+5= 23

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

it is all doubles

Answer:

Answer in image below :)

Step-by-step explanation:

Answer:

A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

The shape of the quadratic equation representing the large cables is a parabola

Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;

h = -b/(2·a)

∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0

k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c

∴ c = 1.5

The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;

f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5

At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45

Therefore, we have;

45 = a·506² + 1.5

a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴

The quadratic equation for the large cables, f(x), can therefore be presented as follows;

[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Step-by-step explanation:

hope it will help you..........

Answer: x = 4

Step-by-step explanation:

   x/2=10/5

Multiply both sides of the equation by 2.

2⋅  x/2 = 10 /5 ⋅ 2

Simplify both sides of the equation.

Cancel the common factor of 2.

Rewrite the expression.

x= 2 ⋅ 10/5

Divide 10 by 5.

x= 2 ⋅ 10/5

Multiply 2 by 2.

x = 2 ⋅ 2

x = 4

please give brainiest :)

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

Answer:

313000/100 X 4.5 = 14085

14085/100 X 20 = 2817

14085 - 2817 = 11268

agency = 11268

agent = 2817

Answer:

1.86 Miles per hour

Step-by-step explanation:

13/7

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

the answer is 568 in in degrees tysm