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Furkat [3]
3 years ago
6

Question 20 of 32

Mathematics
1 answer:
lina2011 [118]3 years ago
5 0

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( f(x) ) -  ( g(x) )

(f - g)(x) = (4x^2 - 6) - ( x^2 - 4x - 8)

(f - g)(x) = 4x^2 - 6 - x^2 + 4x + 8

(f - g)(x) = (4x^2-x^2) + 4x + (-6+8)

(f - g)(x) = 3x^2 + 4x + 2

<h3>Answer: Choice D</h3>
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The cost of a service call to fix a washing machine can be expressed by the linear function y = 45 x + 35, where y represents th
katovenus [111]

Answer:

the slope represents the cost for each hour it takes to repair the machine.Step-by-step Answer:

We are given that  the cost of a service call to fix  a washing machine can be expressed by the linear function

Where

y=Total cost of  a service to fix  the machine.

x=Number of hours takes to fix the machine

We have to find that slope in this function what represents.

General equation of line is given by

Where m=Slope of line

c=y- intercept

Comparing the general equation with the given function

We get m=45,c=35

m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.

Hence, the slope represents the cost for each hour it takes to repair the machine.

8 0
3 years ago
Read 2 more answers
Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)
arlik [135]

Answer:

y = \frac{4}{3} x - 12

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 )

y = - \frac{3}{4} x ← is in slope- intercept form

with slope m = - \frac{3}{4} , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{3}{4} } = \frac{4}{3} , then

y = \frac{4}{3} x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = \frac{4}{3} x - 12 ← equation of perpendicular line

4 0
3 years ago
How much 78 octane gas and 91 octane gas should be blended to make 13 gallons of 85 octane gas
Tatiana [17]
13 x 85 = 1105
78 + 91 = 169

169 / 1105 = 6.5
5 0
4 years ago
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You need to buy four cards but only have seven dollars to spend. Which inequality can you use to find the amount that you can af
suter [353]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
Henry has a fenced yard in the shape of a rectangle with a perimeter that measures 242 feet. If the width of the yard measures 5
neonofarm [45]

Answer: Length = 70 feet

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

Solve:

<u>Given information</u>

l = l

w = 51 feet

P = 242 feet

<u>Given expression</u>

P = 2 (l + w)

<u>Substitute values into the expression</u>

242 = 2 (l + 51)

<u>Divide 2 on both sides</u>

242 / 2 = 2 (l + 51) / 2

121 = l + 51

<u>Subtract 51 on both sides</u>

121 - 51 = l + 51 - 51

\boxed{l=70}

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
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