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3 years ago

Solve each quadratic equation. a) 2(x + 5) (2x - 3) = 0

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

${4x}^{2} + 14x - 30 \\$

Step-by-step explanation:

$2(x + 5)(2x - 3)\\ (2x + 10)(2x - 3)\\ 2x(2x - 3) + 10(2x - 3)\\ 4 {x}^{2} - 6x + 20x - 30\\ {4x}^{2} + 14x - 30\\$

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How do you add 1/3 and 1/6 together?

Leya [2.2K]

Multiply the numerator and denominator of the first question by 2 in order for both of the denominators to be the same.

1*2=2
3*2=6

Now that the denominators are the same, we can simply add the numerators and simplify if possible.

(2/6)+(1/6)= (3/6)

(3/6)= (1/2)

Final answer: 1/2

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2 years ago

Read 2 more answers

Which expression is equivalent to (a^-3 b/a^-5 b3)^-3? Assume a=0, b=0.

prohojiy [21]

$Use:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\\\(ab)^n=a^nb^n$

$\left(\dfrac{a^{-3}b}{a^{-5}b^3}\right)^{-3}=\left(a^{-3-(-5)}b^{1-3}\right)^{-3}=\left(a^{-3+5}b^{-2}\right)^{-3}=\left(a^2b^{-2}\right)^{-3}\\\\=(a^2)^{-3}(b^{-2})^{-3}=a^{2(-3)}b^{-2(-3)}=a^{-6}b^6=\dfrac{b^6}{a^6}$

7 0

3 years ago

Given [12 -13 17 -22] [x y] = [7 -51] what is |Ay|?<br> Please help

grin007 [14]

Answer:

Step-by-step explanation:

It's not c or d. It's not much but I hope it helps.

5 0

2 years ago

Read 2 more answers

F(x)= <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%207%7D%7B10%7D%20" id="TexFormula1" title=" \frac{4x - 7}{10} "

Naily [24]

Answer:

To find f-¹(x) of f(x) equate f(x) to y

That's

f(x) = y

So we have

$y = \frac{4x - 7}{10}$

Next interchange the variables that's x becomes y and y becomes x

That's

$x = \frac{4y - 7}{10}$

Next make y the subject

Cross multiply

We have

4y - 7 = 10x

Move -7 to the right side of the equation

4y = 10x + 7

Divide both sides by 4

We have the final answer as

$y = \frac{10x + 7}{4}$

$f ^{ - 1} (x) = \frac{10x + 7}{4}$

Hope this helps you

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3 years ago

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th

Vesna [10]

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:

$m=\frac{0-33}{6-3}$ and

$m=\frac{-33}{3}$ which is -11

From 3 to 6 seconds, the rocket is falling 11 yards per second.

8 0

3 years ago