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3 years ago

Complete the following sentence. The slope of the graph of y = 5 x is ___

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

4 0

Answer:

We conclude that the slope of the graph of y = 5 x is 5.

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = 5x

comparing with the slope-intercept form of the line equation

The slope of the line = m = 5

Therefore, we conclude that the slope of the graph of y = 5 x is 5.

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Shortly after creating a car washing business, you made $65 washing ten

nevsk [136]

Answer:

A) For the slope;

Rate of change in profit per change in number of cars washed = 10

B) when he had not washed any car, he was in debt of of $35

C) When he made $255, he had washed 29 cars

Step-by-step explanation:

Slope intercept equation of a line is;

y = mx + c

you made $65 washing ten

cars. Thus, x = 10 and y = 65

So, 65 = 10m + c - - - - (eq 1)

Then after fifteen cars, you made $115.

Thus, x = 15 and y = 115

So; 115 = 15m + c - - - - (eq 2)

Subtract equation 1 from eq(2) to get;

115 - 65 = 15m - 10m + c - c

50 = 5m

m = 50/5

m = 10

Putting 10 for m in eq 1 gives;

65 = 10(10) + c

65 = 100 + c

c = 65 - 100

c = -35

A) Since the slope is m = 10 and slope is m = Δy/Δx, it means that;

Rate of change in profit per change in number of cars washed = 10

B) c = -35 is the y-intercept.

This means when x = 0, y = - 35.

It implies that when he had not washed any car, he was in debt of of $35

C) since we have the slope and intercept, equation is;

y = 10x - 35

If he has made $255,then we have;

255 = 10x - 35

255 + 35 = 10x

290 = 10x

x = 290/10

x = 29 cars washed.

7 0

3 years ago

7n - 5 (Write a polynomial that represents the area of the square.)

zalisa [80]

Answer:

49n² - 70n + 25

Step-by-step explanation:

Area of a square = s²

Where,

s = side length = 7n - 5

Area of the square = (7n - 5)²

= (7n - 5)(7n - 5)

= 7n(7n - 5) -5(7n - 5)

= 49n² - 35n - 35n + 25 (distributive property of equality)

Add like terms

Area = 49n² - 70n + 25

Step-by-step explanation:

i might be wrong sorry x

8 0

3 years ago

Using the illustration below, calculate the area of the circle.

Lynna [10]

Answer:

Where is the illustration?

Step-by-step explanation:

4 0

3 years ago

The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac

nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

$\displaystyle A=\frac{1}{2}\pi r^2$

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

$\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx$

Substitute:

$\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx$

Simplify:

$\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx$

Integrate:

$\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]$

Evaluate:

$\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3$

The volume of the solid is π/40 cubic units.

4 0

3 years ago

Instructions

Over [174]

Answer:

1.9( j + 8 + j)

2. 9(4 j) + 9 (8 + j)

2. 45 j + 72

Step-by-step explanation:

1.nine times, open parentheses four times j plus eight plus j

2. 9(5 j + 8)=

Sarah had a total amount of 45 teeth meaning that her neighbor gave Sarah $225.

3 0

3 years ago