All categories

3 years ago

Given f(x) = 2x2 - 3, what is the value of f(x + 3)?

Mathematics

1 answer:

creativ13 [48]3 years ago

8 0

Answer:

Answer A is correct.

Step-by-step explanation:

Please note the difference beteen f(x+3) and f(3).

So f(x + 3) means, where you see x in the equation, you substitute x+3. (This is a recursive entry).

f(x)= 2x² - 3

f(x)= -3 + 2x²

f(x)= -3 + 2* (x+3)²

f(x)= -3 + 2* (x+3) * (x+3)

f(x)= -3 + 2* (x² + 3x + 3x + 9)

f(x)= -3 + 2* (x² + 6x + 9)

f(x)= -3 + 2x² + 12x + 18

f(x)= 2x² + 12x + 18 -3

f(x)= 2x² + 12x + 15

So answer A is the correct answer

You might be interested in

two cars travel in opposite directions, starting from the same place at the same time. One travels at an average rate of 48 mile

asambeis [7]

So in 1 hour they will be 48+55=103 miles apart
how many hours will it be in 618
103 times x hours=618
divide both sides by 103
x=618/103
x=6

the answer is 6 hours

6 0

3 years ago

ABC Office Supply offers an electric typewriter for $129.95. If ABC received a 15% markup on cost by selling the typewriter at t

const2013 [10]

A 15% percent markup means that the typewriter cost was increased by 15%, or 0.15 by moving the decimal 2 places to the left. If the original price was x, and 15% of it is 0.15*x, we can add them up to get 1.15*x=129.95. Dividing both sides by 1.15, we get x=113 dollars

8 0

3 years ago

Read 2 more answers

Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polyn

lorasvet [3.4K]

Step-by-step explanation:

in newton rapson method

$x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}$

Let $n=n-1$

$x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}$

$x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}$

7 0

3 years ago

Help! what’s the answer. I looked it up but it’s not right too many different answers

Ne4ueva [31]

7x+2y=-17

steps:
x=2x + 5x
y=3y - y
sum=-5 -12

6 0

4 years ago

Can someone helllllppp me on 5 more problems like this n I’ll give u 20 dollars in cashapp plzzz I’m being serious

Vlada [557]

Answer:

y = x - 5

Step-by-step explanation:

$\rm Solve \: for \: y: \\ \rm \longrightarrow x - y= 5 \\ \\ \rm Subtract \: x \: from \: both \: sides: \\ \rm \longrightarrow x - y - x = 5 - x \\ \\ \rm \longrightarrow -y = 5 - x \\ \\ \rm Multiply \: both \: sides \: by \: -1: \\ \rm \longrightarrow - y \times ( - 1) = (5 - x) \times ( - 1) \\ \\ \rm \longrightarrow y = x - 5$

5 0

3 years ago