Factor the polynomial.

54c3d4 + 9c4d2

Answers

Answer 1

Answer: $54c*3d^4+9c*4d^2$

$162cd^4+9c*4d^2$

$162cd^4+36cd^2$

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You place three orders for 100 soccer balls which cost $22 per ball. You receive all 300 balls. There is a delivery charge of $20 per order. What is your average cost per ball including delivery charges?

Answers

Answer:

Average cost per ball: $22.2

Step-by-step explanation:

Cost per ball: $22

Cost of 300 balls: 300 × 22 = $6600

Total No. of Orders: 3

Delivery fee per order: $20

Total Delievery fee: 20 × 3 =$60

Total cost including delivery cost: $6600 + $60 = $6660

$Average cost per ball = (Total cost)/(No. of balls)$

$Average cost per ball = (6660)/(300)$

$Average cost per ball = $22.2$

Factor the following expression completely
X4-y4

Answers

$x^4-y^4=\left(x^2\right)^2-\left(y^2\right)^2=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)\n\n\na^2-b^2=(a-b)(a+b)$

1)(x-y)(x+y)(x^2+y^2)
=(x^2-y^2)(x^2+y^2)
=x^4-y^4

2)(x-y)^2(x+y)^2
=(x^2-2xy+y^2)(x^2+2xy+y^2)
=x^4+y^4

3)(x-y)^4
=x^4-4x^3y+6x^2y^2-4xy^3+y^2

4)(x^2-y^2)(x^2+y^2)
=x^4-y^4

From the set {0, 1, 11}, use substitution to determine which value of x makes the equation true.23x + 27 = 50
A. 11
B. 0
C. 1
D. none of these

2. From the set {0, 1, 10}, use substitution to determine which value of x makes the equation true.

23x + 29 = 52
A. 10
B. 1
C. none of these
D. 0

3.
Add 5 and b. Then, multiply by 2.

Which of the following expressions matches the statement above?
A. 5 + b × 2

B. (5 + b) × 2

C. 5 × (2 + b)

D. b + 5 × 2

4. What is the absolute value of the number indicated on the number line below?

-20
-19
-18
-17
-16
-15
-14
-13
-12
-11
-10
-9
-8
A. -18
B. 17
C. -17
D. 18

Answers

1) the answer is C: 1, 23*(1) + 27 = 50
2) the answer is B: 1, 23*(1) + 29 = 52
3) the answer is B. (5 + b) × 2
4) the question is not clear

Answer:

1) the answer is C: 1, 23*(1) + 27 = 50

2) the answer is B: 1, 23*(1) + 29 = 52

3) the answer is B. (5 + b) × 2

4) the question is not clear

Step-by-step explanation:

19x – y – 2z + x + 5y + 2z

Answers

$19x - y - 2z + x + 5y + 2z \n \n (19x + x) + (-y+5y) + (-2z + 2z) \ / \ gather \ like \ terms \n \n 20x + 4y \ / \ simplify \n \n Answer: \fbox {20x + 4y}$

There are 80
students in a speech contest. Yesterday,

1

4
of them gave their speeches. Today,

2

5
of the remaining students gave their speeches. How many students still haven't given their speeches?

Answers

yesterday, 1/4 of 80 =20 gave their speeches, so there are 80-20=60 students left.
Today, 2/5 of 60=24 students gave their speeches, so there are 60-24=36 students who still haven't give their speeches
another way to think of it is 80*(1- 1/4)*(1- 2/5)=80*(3/4)*(3/5)=36

Final answer:

To find the number of students who haven't given their speeches, subtract the number of students who have given their speeches from the total number of students. Yesterday, 14 students gave their speeches and today, 25 more students gave their speeches. So, there are 41 students who still haven't given their speeches.

Explanation:

To find the number of students who haven't given their speeches, we need to subtract the number of students who have given their speeches from the total number of students.

Yesterday, 14 students gave their speeches, so there are 80 - 14 = 66 students remaining.

Today, 25 students gave their speeches, so there are 66 - 25 = 41 students who still haven't given their speeches.

Learn more about Number of students remaining here:

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P=10+3m find p when m =20?

Answers

the equation would become p=10+3×20 then you use PEMDAS and then the answer would be p=70

Hi there! P=10+3m where m=20, of we plug the 20 in we get the equation of P=10+3(20). We use PEMDAS. We don't have any Parenthesis, we don't have any Exponents but we do have Multiplication 3(20), 3(20)=60. Now, we Add 60 by 10, 60+10=70. Therefore, the answer is 60.

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