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Anarel [89]
2 years ago
8

21. Are the following equations conditional equations, identities, or impossible equations?

Mathematics
1 answer:
Liula [17]2 years ago
4 0

Answer:

4(2x-3)=8x-12 is identity

3x +5=3x-7 is impossible

Explanation:

A conditional equation is an equation that is true for some values and false for others

an identity equation is an equation that is true no matter what value you plug in

an impossible equation is an equation that has no solutions.

lets first try to solve

4(2x-3)=8x-12

distributive property, distribute the 4

8x-12=8x-12

this is an identity!

now for the second equation

3x+5=3x-7

add 7 to both sides

3x+12=3x

subtract 3x from both sides

12=0

wait a minute. This equation is false. this means it has no solutions. its an impossible equation.

Step-by-step explanation:

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Which equations below represent lines that are perpendicular to the line that contains (1, - 2) and (3,4)^ Select all that apply
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Answer:

Select all the lines with slope -\frac{1}{3}.

Step-by-step explanation:

Use the slopes to help you answer this kind of questions.

The slope of the line going through: (1, - 2) and (3,4) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

We plug in the coordinates to get:

m=\frac{4--2}{3-1}=\frac{6}{2}=3

All lines that are perpendicular to this line has slope -\frac{1}{3}.

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3 years ago
A total of $5000 is invested: part at 7% and the remainder at 12%. How much is invested at each rate if the annual interest is $
atroni [7]

The amount invested in the account that yields 7% interest is $4000.

The amount invested in the account that yields 12% interest is $1000.

<h3>What are the linear equations that represent the question?</h3>

a + b = 5000 equation 1

0.07a + 0.12b = 400 equation 2

Where:

a = amount invested in the account that yields 7% interest.

b =  amount invested in the account that yields 12% interest.

<h3>How much is invested at each rate?</h3>

Multiply equation 1 by 0.07

0.07a + 0.07b = 350 equation 3

Subtract equation 3 from equation 2

0.05b = 50

b = 50 / 0.05

b = 1000

Subtract 1000 from 5000: 5000 - 1000 = 4000

To learn more about linear functions, please check: brainly.com/question/26434260

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3 0
2 years ago
A car travels at an average rate of speed of 60 miles per hour for 7 1/2 hours. How many miles doesn’t this car travel?
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Distance = rate x time

distance = 60 miles per hour x 7 1/2 hours

distance = 450 miles
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Angela opened a bank account with $0.50. Later in the week she deposited money and $24 in her account. How much money did she de
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Answer:

24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50

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