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blagie [28]
1 year ago
9

Which of the following statements best describes the lines?

Mathematics
1 answer:
kiruha [24]1 year ago
7 0
Line p has a greater slope. the higher the line the more yhe slope
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16x^2 - 49 when factored is ?
vaieri [72.5K]

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

3 0
3 years ago
If the selling price of a home is $505,000 with a 15% down payment, what is the amount of the down payment?$75,000$75,500$75,750
AlladinOne [14]

Answer

the down payment is $75,750

Explanation

The selling price of a house = $505, 000

The person made a 15% down payment

Down payment = 15% x $505, 000

Down payment = 0.15 x $505, 000

Down payment = $75, 750

Therefore, the down payment is $75,750

5 0
1 year ago
The formula for the future value V (in dollars) of an investment earning simple interest is V=p+prt, where p (in dollars) is the
serious [3.7K]

Answer:

A. p=\dfrac{V}{1+rt}

B. $2,307.69

Step-by-step explanation:

You are given the formula

V=p+prt,

where V = investment earning simple interest

p = principal,

r = interest rate

t = time

So,

A. V=p(1+rt)\\ \\p=\dfrac{V}{1+rt}

B. r = 0.06 (or 6% as percent)

V = $3,000

t =5

so,

3,000=p+p\cdot 0.06\cdot 5\\ \\3,000=p+0.3p\\ \\1.3p=3,000\\ \\p=\dfrac{3,000}{1.3}\approx 2,307.69

6 0
3 years ago
Which expression is equivalent 121x^2-64y^2 ?
Lelu [443]
Would this be the correct answer? If not, can you further explain the question?(11x+8y)(11x-8y) 
6 0
3 years ago
Write an equation that relates the time, t, it takes to travel a given distance, d.
brilliants [131]

The equation that relates the time, t, it takes to travel a given distance, d is d = rt

<h3>What is Speed?</h3>

This is a scalar quantity and can be defined as  the magnitude of the rate of change of its position with time.

d = rt

where d is distance, r is speed or rate, t is time.

We can calculate the time by dividing the distance with the rate (speed).

t =  d/r

This is why it was chosen as the most appropriate choice.

Read more about Speed heere brainly.com/question/4931057

3 0
2 years ago
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