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3 years ago

Could anyone help with 5 math questions ;-;

1 answer:

8 0

We will let the hours of her shift be the values of x and the number of people be the values of y.
Now, the gradient of the line is given by
(change in y) / (change in x)
So let us take 2 values of x and their corresponding values of y.
(1 , 70) and (3 , 98)
slope = (98 - 70) / (3 - 1)
= 14 people per hour
The slope-intercept form of a linear equation is:
y = mx + c; where m is the slope and c is the y-intercept. c is obtained when x is 0 and this is given to us as 56. Thus,
y = 14x + 56

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Step-by-step explanation:

It is a function. Every x has only 1 y associated with it. You cannot find an exception to this rule.

Stated another more common way: if you take a ruler and lay it flat on the graph so that the ruler is parallel to the y axis, you will find the ruler will go through only one y for every x. That's called the vertical line test.

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3 years ago

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Dafna1 [17]

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3 years ago

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Help with these two figured and you shall be granted points. Good deal, half off.

STALIN [3.7K]

Answer:

5. C - 180ft²

6. D - 120m³

Step-by-step explanation:

(6.5 x 11) = 71.5

(6 x 2.5) = 15

(6 x 11) = 66

(2.5 x 11) = 27.5

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3 years ago

A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o

SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

Part B

Do the same thing as in Part A:

$\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4$

Therefore, the average rate of change of $g(x)$ over the interval $[0.25,1]$ is $-4$ .

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

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2 years ago

Leah gets to paint her room since she bought a new bedspread set. Two gallons of paint covers 800 square feet. How many gallons

loris [4]

Answer:

3 gallons

Step-by-step explanation:

If two gallons of paint covers 800 square feet, 'x' gallons of paints will cover 1200square feet room where x is the number of gallons needed to paint the 1200 square feet room.

Mathematically,

2 gallons = 800sq.ft

x gallons = 1,200sq.ft

x × 800 = 2 × 1200

x = 2 × 1200/800

x = 3 gallons

Therefore Leah will need 3gallons of paint for 1200sq.ft room

4 0

3 years ago