3. The value of a car in relation to the number of miles driven is given by the linear
function y = -9x + 55000.
a. Interpret the meaning of the rate of change and initial value for the linear function.

The schools is loacted at (1, -8) and the park is loacted at (-6,-8)

Answer:

5 cubic centimeters

Step-by-step explanation:

250 divided by 2 = 125

To get to 125 you can do 5 x 5 x 5.

Since it is a cube you have to do Length x Width x Height which is why you do _ x _ x _.

Answer: do what?

Step-by-step explanation:

For the function to be a linear, D. a = 20 because the rate of change is –3.

The rate of change = change in y / change in x.

Therefore, for the function to be linear, the rate of change must be the same across the table of values.

Using, (4, 26) and (5, 23):

Rate of change = (26 - 23)/(4 - 5)

Rate of change = (3)/(1) = -3

Using (5, 23) and (6, a), we have:

(23 - a)/(5 - 6) = -3

(23 - a)/(-1) = -3

23 - a = (-3)(-1)

23 - a = 3

-a = 3 - 23

-a = -20

a = 20

Therefore, the answer is: D. a = 20 because the rate of change is –3.

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Answer:

( 50, 30 )

Step-by-step explanation:

Equal distance

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(2)}~~~~ ,~~~~ 12-\cfrac{ (8)^2}{4(2)}\right)\implies \left( -\cfrac{8}{4}~~,~~12-\cfrac{64}{8} \right) \\\\\\ (-2~~,~~12-8)\implies (-2~~,~~4)[/tex]

Answer:

The federal government's "enumerated powers" are listed in Article I, Section 8 of the Constitution. Among other things, they include: the power to levy taxes, regulate commerce, create federal courts (underneath the Supreme Court), set up and maintain a military, and declare war. It is their job to carry out constitutional responsibilities for society.

Step-by-step explanation:

Explanation:

x + 3y = 2

Converting it to slope intercept form:

y = mx + b  [where m is slope, b is y-intercept]

Make y the subject:

[tex]\sf \rightarrow 3y = 2 - x[/tex]

[tex]\sf \rightarrow 3y = -x + 2[/tex]

[tex]\sf \rightarrow y = -\dfrac{x}{3} + \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow y = -\dfrac{1}{3} x+ \dfrac{2}{3}[/tex]

which reveals slope:

[tex]\star \ slope: \sf - \dfrac{1}{3}[/tex]

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 3y = 2 ( subtract x from both sides )

3y = - x + 2 ( divide all terms by 3 )

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/tex]

Answer:

x=y/5+14/5

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Yes it is correct.

When any bracket is opened by "-" sign then the sign inside the bracket changes.

Here,

→7-(-12)

→7+12

→19

In the above question the bracket is opened by "-' and the sign of 12 is also negative. So, -×- changes into +.

Answer:

54 square units

Step-by-step explanation:

The magnitude of an earthquake that is 35 times more intense than a standard earthquake is 1.5

An equation is an expression that shows the relationship between two or more variables and numbers.

The magnitude, m, of an earthquake is:

m = log (I/S)

Where I is the intensity of the earthquake and S is the intensity of a "standard" earthquake. Hence, for an earthquake that is 35 times more intense than a standard earthquake:

m = log (35S / S) = log (35) = 1.5

The magnitude of an earthquake that is 35 times more intense than a standard earthquake is 1.5

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Point d 7,3 point c 6,7 point b 1,5 point a 0,2 I took this quiz got 100Answer:

Step-by-step explanation:

D) (7, 3)

Step-by-step explanation on coordinates:

The coordinates indicate the position of a point in the 2D coordinate plane relative to the origin. The x-coordinate of a point is its perpendicular distance from the y-axis measured along the x-axis. The y-coordinate of a point is its perpendicular distance from the x-axis measured along the y-axis.

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Coordinates are written as (x, y) meaning the point on the x axis is written first, followed by the point on the y axis.

Therefore, the veracious answer (7, 3).

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Answer:

y = - 4

Step-by-step explanation:

[tex]\cfrac{2}{5}\left(10y-5\right)-2y=-10[/tex] (Multiply)

[tex]\cfrac{2\left(10y-5\right)}{5}-2y=-10[/tex]

[tex]\cfrac{2\left(10y-5\right)}{5}\times \:5-2y\times \:5=-10\times \:5[/tex]

[tex]2\left(10y-5\right)-10y=-50[/tex] (Expand)

[tex]10y-10=-50[/tex]

[tex]10y-10+10=-50+10[/tex] ( Add 10)

[tex]10y=-40[/tex] (Simplify)

[tex]\cfrac{10y}{10}=\cfrac{-40}{10}[/tex] (Divide by 10)

[tex]y=-4[/tex]

Answer:

[tex]y=-4[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{2}{5}(10y-5)-2y=-10[/tex]

Expand the brackets:

[tex]\implies \dfrac{2}{5}(10y)-\dfrac{2}{5}(5)-2y=-10[/tex]

[tex]\implies \dfrac{2 \cdot 10}{5}y-\dfrac{2 \cdot 5}{5}-2y=-10[/tex]

[tex]\implies \dfrac{20}{5}y-\dfrac{10}{5}-2y=-10[/tex]

[tex]\implies 4y-2-2y=-10[/tex]

Collect like terms:

[tex]\implies 4y-2y-2=-10[/tex]

Combine like terms:

[tex]\implies 2y-2=-10[/tex]

Add 2 to both sides:

[tex]\implies 2y-2+2=-10+2[/tex]

[tex]\implies 2y=-8[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{-8}{2}[/tex]

[tex]\implies y=-4[/tex]

Answer:

Joesph needs to be 331 feet of flooring to cover all sides except the floor.

Step-by-step explanation:

To answer this question, you need to find the areas of the sides and the roof.

Side (left and right): 12 feet long multipled by 6.5 feet high. 12*6.5=78 ft^2. Multiply this by 2 to get the combined areas of both the left and right side. 156 ft ^2

Side (back and front): 7 feet wide by 6.5 feet high. 7*6.5=45.5 ft^2. Multiply this by two to get the combined areas of the back and the front sides. 91 ft^2

Roof: 7 feet wide multiplied by 12 feet long. 7*12=84 ft^2

84+91+156=331 ft^2

Answer:

331 ft²

Step-by-step explanation:

Area of a rectangle = width × height

Given:

Surface area (minus the floor):

= 2(7 × 6.5)  + 2(12 × 6.5) + (7 × 12)

= 91 + 156 + 84

= 331 ft²

Answer:

288

Step-by-step explanation:

quick calculator use

15% of 250 is 37.5

add that to 250 to get 287.5

can't sell half a shirt so the answer is 288

Answer:

Step-by-step explanation:

Remark

The moment you put Tan(45) in the choices, non of the other choices can compete.

Tan(45) = 1

Sin(a) or cos(a) are all less then one except when a = 0 or 90. Even then they can only have a value of 1. Since none of the angles = 0 or 90 then the  largest value is Tan(45) = 1.

Answer:

I) X+Y

when X=0

0+y=5

Y=5

When Y=0

X+0=5

X=5

(X,y)=(5,5)

(ii) X-Y=3

When X=0

0-Y=3

Y=-3

When Y=0

X-0=3

X=3

(X,Y)=(3,3(

(III) 2x+Y=7

when X=0

0+Y=7

Y=7

when Y=0

2x+0=7

2x=7

X=7/2 or 3.5

(X,Y)=(3.5,7)

(Iv)

3X-2Y=0

when X=0

0-2Y=0

-2Y=0

Y=0

When Y=0

3x-0=0

3X=0

X=0

(X,Y)=(0,0)

Answer:

True

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces

it should be true. Let me know if I'm incorrect.

[tex]\large\boxed{\bold{d= r ×2}}[/tex]

In this question all the required values are given so we'll simply have to solve.

Let's substitute the values according to the formula.

[tex]\bold{d= 8×2}[/tex]

[tex]\large\boxed{\bold{d= 16 \ ft}}[/tex]

Therefore, the diameter of the given circle is 16 ft.

Answer= Option D

Answer:

C. 192 1/2 in^2.

Step-by-step explanation:

Split this up anto 1 triangle and one rectangle

Area of the triangle = 1/2 * base * height

Its height = 36 - 25 = 11, and the base =  2 1/4 + 2 1/4 + 5 1/2= 10.

So it's area = 1/2 * 10 * 11 = 55.

Area of rectangle = 25 * 5 1/2 = 137 1/2.

Total area of the arrow = 55 + 137 1/2 =   192 1/2 in^2.

Answer:

[tex]\sqrt{400} = 20[/tex]

Step-by-step explanation:

Since the sides of a square are equal, A = s x s so taking the square root of the square provides the length of each side

Answer: 35 7/8 miles

Step-by-step explanation:

5*7 + 1/8*7 = 35 7/8 miles

Answer:

3.

Step-by-step explanation:

If there were 20 hats, and 4 of them were fedoras, we can conclude that 1/5 of the sent hats are going to be fedoras.

If there are 15 hats, we multiply 15 by 1/5 to get 3.

Hope this helps!

Answer:

the answer is B. 1,722.22

Answer:

A

Step-by-step explanation:

if it's not I'm sorry but that is the most logical answer:)

Answer:

Length: 18 yards Width: 12 yards

Step-by-step explanation:

Perimeter = (L+W) x 2

L = W + 6

60 yd = (W+W+6) x 2

30 yd = 2W + 6

24 yd = 2W

W = 12

L = 12 + 6 = 18

Answer: the answer is 21 units

Step-by-step explanation:

I took the test

Answer: the correct answer is 21 units

Step-by-step explanation: hope this helps :)