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3 years ago

Select the set of equations that would be used to solve the following absolute value equation:|x-5|=20

2 answers:

7 0

X-5= 20
x-5= -20

Absolute value makes a negative positive, so when you are solving x-5 could have been 20 originally or -20 originally. Solve for both.

mina [271]3 years ago

3 0

When setting up to solve an absolute value equation you need to remember that whatever is inside the bars represents a distance of, in this case, 20 units from zero on the number line. This can be 20 to the right or 20 to the left. For this reason we must set up TWO equations and solve both of them.
x - 5 = 20 and x - 5 = - 20

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Find the perimeter of the right triangle. If necessary, round to the nearest tenth.

puteri [66]

Answer:

a. 12 yd

Step-by-step explanation:

$\sqrt{ {15}^{2} - {9}^{2} } = 12$

7 0

3 years ago

Help me with this please

alina1380 [7]

If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.

6 0

4 years ago

Write 12345678 times 10^-9 as a decimal.

labwork [276]

You answer would be 0.012345678.
Calculate it

5 0

3 years ago

Read 2 more answers

I do not know how to do this need help

Diano4ka-milaya [45]

Remark

First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.

Givens

f(x) = 4x^2 + x + 1

g(x) = x^2 - 2

Discussion

What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2

Wherever you see an x on either the left or right side of the equation, you put fix)

Then wherever you see f(x) on the right you put in what f(x) is equal to.

Solution

g(x) = x^2 - 2

g(f(x)) = (f(x))^2 - 2

g(f(x)) = [4x^2 + x + 1]^2 - 2

f(x)^2 =

4x^2 + x + 1

16x^4 + 4x^3 + 4x^2

4x^3 + x^2 + x

16x^4 + 8x^3 + 9x^2 + 2x + 1

Answer

g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2

g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1

5 0

4 years ago

Can someone help me with question 3

djyliett [7]

2. Alana needs to sell 52 boxes of cookies:

She sold 7 boxes to her aunt

She sold 2 boxes to her mother

She sold 15 boxes to her neighbor

you add 7+2+15 = 24 boxes of cookies that she sold

We need to find out how many more boxes of cookies she needs to sell-

We take the 24 boxes she sold and subtract from 52 boxes that she needs to sell.

24 - 52 = 30

The answer is 30, she needs to sell 30 more boxes.

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3. Sam, Jimmy and Andre shared a number of pennies in the ratio 8:5:3

Sam (8), Jimmy (5) and Andre (3)

How many more pennies did Jimmy receive than Andre?

you subtract 3 - 5 = 2

The answer is 2 more pennies.

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4. Jamila spent $33.00 and Akiko spent $ 42.00

Jamila had 4 times as much money left as Akiko. How much money did each of them have in the beginning?

Since Akiko spent the highest amount- you will have to go with the higher amount to find the answer

4 x $42.00 = $168.00

They both in the beginning had $168.00

I hope this helps.

3 0

4 years ago