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2 years ago

13

Find F(5) for the polynomial function below. F(x)=4x³-12x² + 3x-3

1 answer:

Serga [27]2 years ago

6 0

Answer:

can you give me some hint.

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Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They

Karo-lina-s [1.5K]

$\begin{gathered}\begin{gathered}\\ \sf{:}\dashrightarrow 108+x≤352\end{gathered}\end{gathered}: \\ \\ \\\begin{gathered}\begin{gathered}\\ \tt{:}\dashrightarrow 352-108 \end{gathered}\end{gathered} \\ \\ \\\begin{gathered}\begin{gathered}\\ \sf{:}\dashrightarrow x≤244\end{gathered}\end{gathered}$

4 0

2 years ago

The equation y = 15.7x + 459 can be used to predict the cost of renting a studio apartment in a certain housing complex, where x

ohaa [14]

The answer is C) 773.00

7 0

3 years ago

Read 2 more answers

The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

3 years ago

The tree diagram represents an experiment consisting of two trials.

Afina-wow [57]

Answer:

.26

P(C) = .6*.3 + .4 *.2

= .18+.08

= .26

Step-by-step explanation:

4 0

2 years ago

PLEASE HELP!! DUE SOON!!! WILL GIVE 5 STARS ALONG WITH A HEART!!!

kvasek [131]

Answer:

8

Step-by-step explanation:

7 0

3 years ago