MATHEMATICS HIGH SCHOOL

Which are sums of perfect cubes? Check all that apply.A=8x6 + 27
B=x9 + 1
C=81x3 + 16x6
D=x6 + x3
E=27x9 + x12
F=9x3 + 27x9

Answers

Answer 1
Answer:

Answer:

Option A, B, D, E are the sums of perfect cubes

Step-by-step explanation:

Given some choices we have to select the option which are the sums of perfect cubes.

Option A: 8x^6+27

8x^6+27

⇒ (2x^2)^3+(3)^3

which is the sum of perfect cube.

Option B:x^9+1

x^9+1

⇒ (x^3)^3+(1)^3

which is the sum of perfect cube.

Option C:81x^3+16x^6

81x^3+16x^6

⇒ 9^2x^3+4^2(x^2)^3

which is not the sum of perfect cube.

Option D:x^6+x^3

x^6+x^3

⇒ (x^2)^3+x^3

which is the sum of perfect cube.

Option E: 27x^9+x^(12)

27x^9+x^(12)

⇒ (3x^3)^3+(x^4)^3

which is the sum of perfect cube.

Option F:9x^3+27x^9

⇒ 3^2x^3+(3x^3)^3

which is not the sum of perfect cube.

Option A, B, D, E are the sums of perfect cubes

     
Answer 2
Answer:

answer


a b d e

hope that helped :)

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A total of $8,000 is deposited in two simple interest accounts. In one account, the annual simple interest rate is 5%, and on the second account, the annual simple interest rate is 6%. How much should be invested in each account so that the total annual interest earned is $450?

Patrick owns an apartment building. He knows that the money he earns in a month depends on the rent he charges. The relationship can be modelled by E=1/50R(1650-R), where E is Patrick's monthly earnings, in dollars, and R is the amount of rent, in dollars, he charges each tenant. if Patrick wants to earn at least $13000, between what two values should he set the rent?

Answers

E=13,000 andE=1/50R(1650-R)


0.02R(1650-R)=13000

(0.02R)(1650)-0.02R²=13000

0.02R²-33R+13000=0

R2-1650R+650000=0

SOLVE W QUAD FORMULA

What is the solution of the equation: -3m - 21 =-6answer choices
-45
-5
9
-81

Answers

Answer:

-5

Step-by-step explanation:

Add 21 to both sides:

-3m - 21 = -6

-3m = 15

Divide each side by -3

m = -5

Answer:

-5

Step-by-step explanation:

-3m-21=-6

switch sides to remove the negative sign

6-21=3m

-15=3m

-15/3=m

m=-5

Elimination using multiplication.
3x-5y=14
2x+4y=2

Answers

3x - 5y = 14
2x + 4y = 2

We multiply the first equation by 2 and the second equation by 3 to obtain:

6x - 10y = 28
6x + 12y = 6

Subtracting the two equations:

-22y = 22
y = -1

Using this in the first equation:
3x - 5(-1) = 14
x = 3

The solution is:
(3 , -1)

If you multiply an inequality by a positive number _____.switch the inequality sign
keep the inequality sign the same

Answers

Answer: If you multiply an inequality by a positive number keep the inequality sign the same

Explanation:  There are certain rules that should be kept in mind while solving the inequality:

1. When a number is added or subtracted from each side of an inequality the direction of the inequality does not change  

2. When each side of an inequality is multiplied or divided by a positive number the direction of the inequality does not change

3. When each side of an inequality is multiplied or divided by a negative number the direction of the inequality does change
Keep the inequality sign the same

Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independent variable.

Answers

we have

6c = 2p - 10

If c is the independent variable

then

p is the dependent variable

so

clear variable p

6c = 2p - 10

Divide by 2 both sides

3c = p - 5

Adds 5 both sides

3c+5 = p - 5 +5

p=3c+5

Write the equation in function notation

f(c)=3c+5

therefore

the answer is

the equation in function notation is equal to f(c)=3c+5
f(c)=3c+5 is the right answer

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Answers


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Answer:

rhombus

Step-by-step explanation:

I took the quiz and got the question correct. Rhombus is the correct answer.
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