All categories

2 years ago

If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

8 0

Answer:

C. 5x² - 4

General Formulas and Concepts:

<u>Algebra I</u>

Composite Functions
Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

Substitute: (f + g)(x) = 4x² + 1 + x² - 5
Combine like terms: (f + g)(x) = 5x² - 4

You might be interested in

2) Portia deposited $16,879.35 into a savings account paying 9.6% interest compounded annually for 3 years. How much money will

Monica [59]

Answer:

is 20,000

Step-by-step explanation:

0hhggyuibbhu88j b

7 0

3 years ago

Help! Urgent request

TiliK225 [7]

Answer: 6 students

What we know:

Students: 24

Students who play checkers: $\frac{2}{3}$

Students who also play sudoku: $\frac{3}{8}$ of the $\frac{2}{3}$

24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)

$\frac{3}{8}$ × 2 = $\frac{6}{16}$

So the answer is,

6 students play both checkers and sudoku

8 0

3 years ago

Read 2 more answers

American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 50.4% of American

OLga [1]

The variance of the binomial distribution of the number of households with landline service is 2.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The variance of the distribution is given by:

V(X) = np(1 - p)

In this problem, the parameters are given as follows:

n = 8, p = 0.504.

Hence the variance is given by:

V(X) = 8 x 0.504 x 0.496 = 2.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0

1 year ago

If x+a is a factor of 2x²+2ax+5x+10,find a.

vazorg [7]

If $x+a$ is a factor of the polynomial, it means that $-a$ is a root of the polynomial.

In fact, if a polynomial $p(x)$ has a root $x_0$ (i.e. $p(x_0)=0$ ), then the polynomial is divisible by $(x-x_0)$

In your case, you know that the polynomial is divisible by $(x+a)=(x-(-a))$ , so $-a$ is a solution.

Let's evaluate $p(-a)$ and set it to zero:

$2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2$

We can check the answer: if $a=2$ the polynomial becomes

$2x^2+2(2)x+5x+10 = 2x^2+9x+10$

And we're claiming that $-a=-2$ is a root of this polynomial:

$2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0$

5 0

3 years ago

Please answer !! Thank you so much !!

Goryan [66]

The answer is -12x^4y^4 !

8 0

3 years ago

Read 2 more answers

If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).​

If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).