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andre [41]
4 years ago
8

If f(x)=3^x+10 and g(x)=2x-4, find (f-g)(x)

Mathematics
1 answer:
nataly862011 [7]4 years ago
6 0
<h3>Answer:   3^x - 2x + 14</h3>

=====================================

Work Shown:

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

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

(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )

(f - g)(x) = 3^x + 10 - 2x+4

(f - g)(x) = 3^x - 2x + (10+4)

(f - g)(x) = 3^x - 2x + 14

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What is the value of y?<br> 9y=28–5y
julsineya [31]

Answer:

y=2

Step-by-step explanation:

add the -5y over and you get 14y=28

then divide by 14 on both sides and you get y=2

4 0
3 years ago
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Find the midpoint of a and b !
grandymaker [24]

Answer:

(-0.5,-2.5)

Step-by-step explanation:

x1+x2/2,y1+y2/2 that is the midpoint formula so just plug in the known numbers and solve

2-3    4-9

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2         2

x= -0.5

y= -2.5

4 0
3 years ago
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(17 Leon uses 3/4 cup water to make a serving of iced tea.
Ksivusya [100]

Answer:

A.) 12 3/4 cups

B.) 117 1/3

Step-by-step explanation:

<u>Part A</u>

If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?

To answer this, you must multiply 3/4 and 17

17 is the same as 17/1, so multiply the numerators and denominators

17 x 3 = 51

1 x 4 = 4

51/4 = 12 3/4

So, Leon used 51/4 or 12 3/4 cups of water

<u>Part B</u>

If the cooler has 88 servings of tea, how many cups of water does it have?

To solve this, divide 88 by 3/4

Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.

Again, 88 is the same as 88/1 so multiply the numerators and the denominators.

88 x 4 = 352

1 x 3 = 3

352/3 = 117 1/3

So, there are 352/3 or 117 1/3 cups of water in the cooler

I hope this helps!

4 0
4 years ago
Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 mil
Naddik [55]
Let's translate the verbal language to algebraic language.

She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.

She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t

Total miles of her rides per week: 62.5 miles + 2.5t

She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85

Then, the situation is represented by this inequality:

2.5t + 62.5 ≥ 85

You can develop it and get to several equivalent inequalities, for example:

2.5t ≥ 85 - 62.5

2.5t ≥ 22.5

t ≥ 9

Any of the four forms are equivalent and a valid answer.
4 0
4 years ago
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DanielleElmas [232]

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3 0
3 years ago
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