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lakkis [162]
3 years ago
7

What is the product of the polynomials below? (4x^2-2x-4)(2x+4)

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:  8x³ + 12x² - 16x - 16

<u>Step-by-step explanation:</u>

  (4x² - 2x - 4)(2x + 4)

= (2x + 4)(4x² - 2x - 4)

= 2x(4x² - 2x - 4)  +  4(4x² - 2x - 4)

=   8x³ - 4x² - 8x   +  16x² - 8x - 16

=   8x³ + (-4x² + 16x²) + (-8x - 8x) - 16

=   8x³ + 12x² - 16x - 16

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Evaluate the expression for the given value of the variable. <br> 29 + 5/6r <br> r = -1/2<br> find r
Dmitrij [34]

Hey there!

The solution to your question is

We simply plug the "r" value into the equation and solve:

29 + (5/6)(-1/2)

29 + -5/12

28 7/12

Hope it helps! Have an amazing day, and remember, You've got this!

4 0
3 years ago
Find the length of the missing side (nearest tenth).<br> 25 yd<br> 37 yd
Ket [755]

Answer:

27.3 yards

Step-by-step explanation:

Since this triangle is a right triangle, this can be solved using the equation:

a^2 + b^2 = c^2

c^2 is the side opposite to the right angle (37)

So, you need to change the equation to where it is set equal to b^2.

Subtract a^2 on both sides.

b^2 = c^2 - a^2

Now, plug in the numbers you have.

b^2 = 37^2 - 25^2

Simplify.

b^2 = 1369 - 625

b^2 = 744

Now, to find b, take the square root of 744.

√744 = 27.3

8 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5, −4).
Tomtit [17]
From the slope our equation so far is
y = -4/5x + B
Now we find B
-------------------------
To find be all we have to is substitute (-5,-4) for x and y in <span>3x + 5y = 15 
</span>(-4) - (-4/5)( -5) = b
-8 = b
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So your equation would be y = -4/5x - 8
6 0
3 years ago
What are the domain and range for the cube root function graphed below
olga55 [171]
The answer is the second one
5 0
3 years ago
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46
natka813 [3]

Answer:

7.9982

Step-by-step explanation:

-The function for an earthquake's magnitude is given by  R = 0.67log(0.37E) + 1.46

-E is energy in kwh.

#For 15,500,000,000 kilowatt hours the magnitude would be:

R = 0.67\ log(0.37E) + 1.46,\ \  E=15,500,000,000  \ kwh\\\\\therefore R=0.67 \ log(0.37\times 15,500,000,000)+1.46\\\\\\=7.9982

Hence, the earthquakes magnitude is 7.9982

7 0
3 years ago
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