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AURORKA [14]
3 years ago
8

Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)

Mathematics
2 answers:
nignag [31]3 years ago
8 0

First: distribute 3(x+1)= -2(x-1)+6

3x+3=2(x-1)+6

Then you have too distribute again

3x+3=2(x-1)+6

3x+3= -2x+2+6

Third: add the numbers

3x+3= -2x+2+6

3x+3= -2x+8

Fourth: add the same term to both sides of the equation

3x+3= -2x+8

3x+3-3= -2x+8-3

Fifth: Simplify 3x= -2x+5

Sixth: add same term to both sides of the equation

3x= -2x+5

3x+2x= -2x+5+2x

Seventh: simplify again

5x =5

Eigth: divide both sides of the equation by the same term

5x=5

5x/5 =5/5

Last: Simplify

X=1

konstantin123 [22]3 years ago
3 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 1

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djyliett [7]

Let x = amount of 70% juice we use.

Then 60-x = amount of 85% juice we'll use.

We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.

So 70% of x plus 85% of (60-x) must equal 80% of 60, or...

    0.7x + 0.85(60-x) = 0.8(60)

    0.7x + 51 - 0.85x = 48

    -0.15x + 51 = 48

    -0.15x = -3

     x = 20

Then 60 - x = 60 - 20 = 40

Check: 70% of 20 pints = 14 pints of pure juice.

            85% of 40 pints = 34 pints of pure juice

            That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.

You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.

4 0
3 years ago
Y = f(x) = 3<br> Find f(x) when x = -2
Dvinal [7]

Answer: 5

Step-by-step explanation: y=f(x)=3

y=f-2=3

y=f=3+2

y=f=5

f=5

5 0
2 years ago
Does the mapping diagram represent a function? why or why not?
alexandr1967 [171]

Answer:

Step-by-step explanation:

( B ) . No; the input value x = - 5 pairs with two output values.

7 0
3 years ago
Dan earns £360 over the course of a five-day week. How much is that per day?
atroni [7]

Answer:

£72

Step-by-step explanation:

£360/5= £72

6 0
3 years ago
Read 2 more answers
which function below represents exponential decay?ƒ(x) = 0.5(2)xƒ(x) = 4(0.25)xƒ(x) = 2(1.3)xƒ(x) = (-3)x
Lubov Fominskaja [6]
The one with the fraction in the parenthasees

remember
F=P(r)^t
in decay, r<1
in growth, r>1
and r is positive so we don't have wierd fliping values

answer would be f(x)=4(0.25)^x

2nd one is answer

8 0
3 years ago
Read 2 more answers
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