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gayaneshka [121]

3 years ago

10

Heo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)2

= 4. Next, he took the square root of each side. Which was the resulting equation of that step?

1 answer:

Rzqust [24]3 years ago

3 0

Step-by-step explanation:

After taking the square root:

x + 2 = ±2

Notice that x + 2 can also equal -2, because (-2)² = 4.

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How many different arrangements of 5 letters can be made from the 26 letters of the alphabet?

VikaD [51]

Answer: P(26,5).

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That is 26! / [ 5! ( 26 - 5)! ] = 26! / [5! 21! ] = 26*25*24*23*22*21! / [ 5! 21!] =

= 26*25*24*23*22 / [5*4*3*2*1] = 65,780 arrangements.

5 0

3 years ago

Please help me. This was my study page but this was hard.

iVinArrow [24]

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3 0

2 years ago

Emma buys a softball that is 70% off. If the original price is $30, how much does Emma pay?

Korvikt [17]

Answer:

$9

Explanation:

First, we need to find 70% of the original price of $30 using the following equation:

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It means that Emma pays $21 less than the original price. So, she pays:

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Therefore, the answer is $9

6 0

1 year ago

Elmer has a collection of 300 fossils. Of those, 21% are fossilized snail shells. How many fossilized snail shells does Elmer ha

kakasveta [241]

Use the percent proportion

21 x
—— = ——
100 300

to solve :
21 x 300 = 6300
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Answer = 63 of Elmer’s shells are fossilized snail shells :)

4 0

2 years ago

Which answer best describes the complex zeros of the polynomial function?

marysya [2.9K]

<u>Answer-</u>

<em>D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.</em>

<u>Solution-</u>

The given polynomial is,

$f(x)=x^3-x^2+6x-6$

The zeros of the polynomials are,

$\Rightarrow f(x)=0$

$\Rightarrow x^3-x^2+6x-6=0$

$\Rightarrow x^2(x-1)+6(x-1)=0$

$\Rightarrow (x^2+6)(x-1)=0$

$\Rightarrow (x^2+6)=0,(x-1)=0$

$\Rightarrow x=\sqrt{-6},\ x=1$

$\Rightarrow x=1,\ \pm \sqrt6i$

Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1

3 0

3 years ago