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3 years ago

If f(x)=2x^2 +4 and g(x)=x-3,which number satisfies f(x)=(f•g) (x)

1 answer:

8 0

$(f\cdot g)(x)=f(x)\cdot g(x)\\\\
(f\cdot g)(x)=(2x^2+4)(x-3)\\
(f\cdot g)(x)=2x^3-6x^2+4x-12\\\\
2x^2+4=2x^3-6x^2+4x-12\\
2x^3-8x^2+4x-16=0\\
2x^2(x-4)+4(x-4)=0\\
(2x^2+4)(x-4)=0\\
2(x^2+2)(x-4)=0\\
\boxed{x=4}$

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

Please help!!!Its timed !!!!! Ill give out most brainly and extra points !!!

seropon [69]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>let's solve:</h3>

according to the question

$\begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}$

$\begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}$

$\begin{cases}-6x= -24\\ 5y=35 \end{cases}$

$\begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}$

$\therefore \begin{cases} x=4\\ y=7 \end{cases}$

6 0

3 years ago

Which angle refers to the same angle as ZGPB?<br> F<br> A<br> P<br> B<br> Choose 1 answer:

Kaylis [27]

The answer is B trust me I know I did that before

6 0

3 years ago

I’m stuck and I would really like your help.

Neporo4naja [7]

Answer:

Answer: 1/12

Step-by-step explanation:

2/5x-4=8-3/5x.

We want to tank x out of the denominator by multiplying x on both sides.

2/5-4x=8x-3/5

Now we simplify

-12x=-1

x=1/12

Put x in the equation to check it

6 0

3 years ago

Read 2 more answers

Jeff wants to spend at most $89 on his mom's birthday gifts. He already bought her a

Andrew [12]

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

4 0

2 years ago