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Rus_ich [418]
3 years ago
7

Perform the indicated operation. -8 + (-4)

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

It is -12, negative + negative is Negative unless if its with a positive it will cancel out

ex, -12 + 6= -6

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7 0
3 years ago
Let p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x. Define r(x) = p(x) \cdot q(x).
Anna [14]

The roots of the entire <em>polynomic</em> expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6.

<h3>How to solve a product of two polynomials </h3>

A value of <em>x</em> is said to be a root of the polynomial if and only if <em>r(x) =</em> 0. Let be <em>r(x) = p(x) · q(x)</em>, then we need to find the roots both for <em>p(x)</em> and <em>q(x)</em> by factoring each polynomial, the factoring is based on algebraic properties:

<em>r(x) =</em> (x + 6) · (x + 2) · x · (x² + 5 · x - 6)

<em>r(x) =</em> (x + 6) · (x + 2) · x · (x + 3) · (x + 2)

r(x) = x · (x + 2)² · (x + 3) · (x + 6)

By direct inspection, we conclude that the roots of the entire <em>polynomic</em> expression are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

5 0
2 years ago
Brainliest first &amp; correct!
Ilia_Sergeevich [38]

Answer:  Choice A

y = -3(x+2)^2 + 10

=================================================

Work Shown:

y = -3x^2-12x-2 is in the form y = ax^2+bx+c with

a = -3

b = -12

c = -2

The x coordinate of the vertex is

h = -b/(2a)

h = -(-12)/(2*(-3))

h = 12/(-6)

h = -2

We'll plug this into the original equation to find the corresponding y coordinate of the vertex.

y = -3x^2-12x-2

y = -3(-2)^2-12(-2)-2

y = 10

So k = 10 is the y coordinate of the vertex.

Overall, the vertex is (h,k) = (-2,10)

Meaning that we go from this general vertex form

y = a(x-h)^2 + k

to this

y = -3(x - (-2))^2 + 10

y = -3(x+2)^2 + 10

8 0
3 years ago
Brainliest guaranteed <br><br><br> Explain how to estimate the length of an object
tino4ka555 [31]

Answer:

Step-by-step explanation:

for short lengths try your hand span.

for something a bit longer try using the length of your feet.

for something even longer try using your arm span or steps.

3 0
3 years ago
Read 2 more answers
PLEASE HELP 60 POINTS
astra-53 [7]
F(x): slope is 1.5
Y intercept is 1
G(x): slope is 2
Y intercept is 1

Statement A is correct
f(x) slope is less than g(x)
The y intercept of f(x) is the equal to the y intercept of g(x)
6 0
2 years ago
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