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3 years ago

Evaluate the function: f(x)=4x−2, find f(8)

Mathematics

1 answer:

valina [46]3 years ago

4 0

Answer:

f (8) = 30

Step-by-step explanation:

$f(x)=4x-2\\\\f(8)=4(8)-2\\\\f(8)=32-2\\\\\boxed{f(8)=30}$

Hope this helps.

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Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

$a^2-b^2=(a-b)(a+b)$

Let us examine each of the given equation

$\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}$ $\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}$ $\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}$ $\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}$

From the above,

$\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}$

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0

1 year ago

What is the slope of y = -x+7

hichkok12 [17]

Answer: -1

Step-by-step explanation:

The equation is given in slope-intercept form. Slope-intercept form is y=mx+b, where m is slope, and b is y-intercept. Since m is slope, we know that it is -1.

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3 years ago

5 m 3 m 6m 8m what is the S.A.?

Sergio [31]

Answer:

Step-by-step explanation:

i am not sure

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3 years ago

Use the equation below to calculate the average speed for each problem, then complete the data table below. Problem Distance Tim

Naddik [55]

1. Answer is 4.5 km / hr.

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4 0

3 years ago

This probability distribution shows the typical distribution of the number of shoes in a teenager's closet. Using the distributi

mote1985 [20]

Answer:

70%

Step-by-step explanation:

Total number of teenagers surveyed

12+20+38+20+10 = 100

Find the number of teenagers with 3 or fewer pairs of shoes

12+20+38 =70

P(3 or fewer) = teenagers with 3 or fewer/ total

= 70/100

= 70%

5 0

3 years ago

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