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3 years ago

Which of the following is equivalent to X2 - 8x - 7 = 0?

Mathematics

1 answer:

I am Lyosha [343]3 years ago

3 0

Answer:

Part 1) (the missing steps in the explanation)

Part 3) (8, 4); The vertex represents the maximum profit

Part 4) x = 3.58, 0.42

Part 5) x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made

Part 6) 2(x − 7)2 + 118; x = $7

Part 7) The maximum height of the puck is 4 feet. −(x − 4)^2 + 6

Part 8) (x + 3)^2 − 4

Part 9) 2(x − 1)^2 = 4

Part 10) 8(x − 4)^2 + 592

Step-by-step explanation:

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So: 23+25+32+35+36+25+27 = 203

How many numbers did we add up? 7.

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3 years ago

Don’t get this at all...

Dima020 [189]

Answer:

P.E.M.D.A.S

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E: exponent

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3 years ago

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3 years ago

Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

<em><u>Therefore, the two roots are:</u></em>

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

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3 years ago

Amy tutors math. For each hour that she tutors, she earns dollars.

skelet666 [1.2K]

The equation to find Amy's earning after tutoring for 15 hours is 300 dollars.

<h3>How to find an equation?</h3>

She earn 20 dollars for each hours she tutors.

E = earnings in dollars

H = hours of tutoring

The equation relating E and H are as follows:

E = 20H

Therefore, the equation to find Amy's earning after tutoring for 15 hours is as follows;

E = 20H

E = 20 × 15

E = 300 dollars

Therefore, Amy's tutoring for 15 hours is 300 dollars.

learn more on expression here: brainly.com/question/14492671

#SPJ1

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1 year ago