Please Please Please Help in Questions 24 and 25!!!!! PLEASE!!!!

Answers

Answer 1

Answer:

a, b and c are the zeros of a polynomial: w(x) = (x - a)(x - b)(x - c).

$24.\nw(x)=(x-6)[x-(-5-2i)][x-(-5+2i)]\n\nw(x)=(x-6)(x+5+2i)(x+5-2i)\n\nw(x)=(x-6)[(x+5)+2i][(x+5)-2i]\n\n\text{use}\ a^2-b^2=(a-b)(a+b)\n\nw(x)=(x-6)[(x+5)^2-(2i)^2]\n\n\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ (ab)^n=a^nb^n\n\nw(x)=(x-6)(x^2+2(x)(5)+5^2-2^2i^2)\n\nw(x)=(x-6)(x^2+10x+25-4(-1))\n\nw(x)=(x-6)(x^2+10x+25+4)$

$w(x)=(x-6)(x^2+10x+29)\n\n\text{use distributive property}\ a(b+c)=ab+ac\n\nw(x)=(x)(x^2)+(x)(10x)+(x)(29)+(-6)(x^2)+(-6)(10x)+(-6)(29)\n\nw(x)=x^3+10x^2+29x-6x^2-60x-174\n\n\text{combine like terms}\n\nw(x)=x^3+(10x^2-6x^2)+(29x-60x)-174\n\n\boxed{w(x)=x^3+4x^2-31x-174}$

$25.\nw(x)=(x-i)(x-(-i))(x-6i)(x-(-6i))\n\nw(x)=(x-i)(x+i)(x-6i)(x+6i)\n\n\text{use}\ a^2-b^2=(a-b)(a+b)\n\nw(x)=(x^2-i^2)(x^2-(6i)^2)\n\n\text{use}\ (ab)^n=a^nb^n\ \text{and}\ i^2=-1\n\nw(x)=(x^2-(-1))(x^2-6^2i^2)\n\nw(x)=(x^2+1)(x^2-36(-1))\n\nw(x)=(x^2+1)(x^2+36)\n\n\text{use distributive property}\ a(b+c)=ab+ac\n\nw(x)=(x^2)(x^2)+(x^2)(36)+(1)(x^2)+(1)(36)\n\nw(x)=x^4+36x^2+x^2+36\n\n\boxed{w(x)=x^4+37x^2+36}$

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Marcus baked a loaf of banana bread for a party. he cut the loaf into equal size pieces.At the end of the party, there were 6 pieces left. Explain how you can find the number of pieces in the whole loaf if Marcus told you that 1/3 of the loaf was left.

Use parentheses to make each number sentence true 1+2×3+4=21

Answers

(1+2)(3+4)
1+2=3
3+4=7
7•3=21
There is an invisible multiplication sign between the two parentheses :).

What is the decimal .387123 rounded to the nearest thousand

Answers

0.387123

Note the place value of each digit

0
.
3 (tenths)
8 (hundredths)
7 (thousandths)
1 (ten thousandths)
2 (hundred thousandths)
3 (millionths)

to find the nearest thousandths, look at the place value of the ten thousandths. It is a 1. Because it is less than 5, you round down.

0.387123 becomes 0.387

0.387 is your answer

hope this helps

It is the nearest thousandth which is the third decimal place. The answer would be .387 unless the 1 was a 5 or higher then it would be .388

What 97.645 rounded to the nearest tenth

Answers

97.645.

The tenth digit is 6. The digit after that is 4, and it is not up to 5, so we round it down. If it was up to 5 or more we would have added 1 more to the 6 to become 7, but since it is not up to we leave the 6 that way.

97.645 ≈ 97.6 rounded to the nearest tenth.

The tenth digit is 6. The number after it is 4. So the 6 stays the same. It is 97.6

What is 3 7/9 as an improper fraction?

Answers

The improperfraction of 3 7/9 is 33/9.

What is Improper Fraction?

A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate.

When the numerator (upper number) exceeds the denominator, the fraction is said to be improper (bottom number).

Given:

We have to change 3 7/9 as an improper fraction.

As, we know that improper fraction have

So, 3 7/9

= ( 9 x 3 +7) /9

= (27 + 7)/ 9

= 33/ 9

Learn more about improper fraction here:

brainly.com/question/21449807

#SPJ2

$3 (7)/(9)= (3x9+7)/(9)= (34)/(9) \n \n Solution: (34)/(9)$

Solve kx + 12 = 3kx for x.

Answers

Answer: x=6/k

Step-by-step explanation:

kx + 12 = 3kx and subtract k from both sides

12=3kx-kx then simplify

12=2kx, now divide both sides by two

12/2=kx simplify again

6=kx divide next

6/k=x finally, switch sides to get x=6/k

Hope this helps, have a BLESSED and wonderful day, as well as a safe one!

-Cutiepatutie ☺❀❤

$kx+12=3kx \n12=2kx \nx=(12)/(2k) \nx=(6)/(k)$

Hope this helps.

Ms. Lewis purchased a new computer for $1,150 at the Apple Store. If sales tax is 7.5%, what was the total cost of her purchase?

Answers

Answer:

$1236.25

Step-by-step explanation:

1150 x 0.075 = 86.25

86.35 + 1150 = 1236.25

Answer:

The total cost was 1,236.25

Step-by-step explanation:

7.5% of 1,150 is 86.25

1,150+86.25=1,236.25

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What is the anwer to3times36

julian earns $13.50 per hour. His company deducts 23% of his pay each week for taxes. Julian uses the expression 0.77 ( 13.50h) to compute his earnings after taxes for the hours h he works. what will be his earnings after taxes, if he works 40 hour?