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3 years ago

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

Mathematics

1 answer:

torisob [31]3 years ago

4 0

<h3>Answer: Choice A) x+14</h3>

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Work Shown:

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

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

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

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

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

(f-g)(x) = x+14

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Fill in the table using this function rule. y = 10x-3 X - 0

dexar [7]

Answer:

Step-by-step explanation:

y = 10(- 1) - 3 = - 13

y = 10(0) - 3 = - 3 

y = 10(1) - 3 = 7 

y = 10(5) - 3 = 47

5 0

3 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

Solution: 

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago

Solve the equation 3(x+1)+2x=1/2(10x-14) Plz show the steps

Umnica [9.8K]

Answer:

x=-2

Step-by-step explanation

1) Remove () and Rewrite

13x+13+2x=1/2x2(5x-7)

2) Collect Like Terms

15x+13=5x-7

3) Move Terms

15x-5x=-7-13

4) Divide Both Sides

10x=-20

ANSWER IS x=-2

8 0

2 years ago

Read 2 more answers

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3 years ago

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Flura [38]

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