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2 years ago

What is the factored form of t6 − p3?

Mathematics

1 answer:

Mama L [17]2 years ago

4 0

Answer:

(C). (t² - p)( $t^{4}$ + pt² + p²)

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

$t^{6}$ - p³ = (t²)³ - p³ = (t² - p)(  $t^{4}$  + pt² + p²)

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How does the diagram show that the slope between any

tensa zangetsu [6.8K]

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

<h3>What is the slope of a graph?</h3>

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

$\mathbf{slope = \dfrac{rise}{run}}$

$\mathbf{slope = \dfrac{\Delta y}{\Delta x}}$

$\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}$

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

Learn more about the slope of a graph here:

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4 0

2 years ago

Which simplified fraction is equal to 0.53

swat32

Answer is provided in the image attached.

3 0

2 years ago

Solve attachment 30 points!!!!!

Effectus [21]

Answer:

$A=\frac{B^3}{5g+m}$

Step-by-step explanation:

Step 1: Write out equation

5gA + mA = B³

Step 2: Factor out A

A(5g + m) = B³

Step 3: Divide both sides by 5g + m

$A=\frac{B^3}{5g+m}$

4 0

3 years ago

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually. If the loan is paid in full at the end of

Leya [2.2K]

Answer:

Total cost of the loan $55,969.8.-

Step-by-step explanation:

Giving the following information:

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.

To calculate the total cost of the loan, we need to use the Future Value (FV) formula:

FV= PV*(1 + i)^n

PV= loan

i= interest rate

n= number of periods

FV= 32,000*(1.0575^10)

FV= $55,969.8

6 0

3 years ago

The school system is trying to help their students be more successful. They are going to hire tutors to help. They must have mor

dexar [7]

Answer:

a. $x-y > 0$

b. $x+y \leq 50$

c. x=26; y=24 or (24,26)

Step-by-step explanation:

Let x = number of teachers hired.

Let y = number of tutors hired.

Now solving for part a we get

a. Write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired.

$x-y > 0$

solving for part b we get;

b. Write an inequality that represents the statement that the maximum number of teachers and tutors is 50.

$x+y \leq 50$

solving for part c we get;

c. Choose a point that satisfies the situation, and explain why you chose that number of tutors and teachers.

Now we know that $x-y > 0$ also $x+y \leq 50$

x=26; y=24

(24,26)

Explanation: To make number of teacher more than number of tutors this is the maximum value we can achieve for the requirement.

6 0

3 years ago