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3 years ago

What is the solution to –4|–2x + 6| = –24

Mathematics

2 answers:

mote1985 [20]3 years ago

5 0

X = 0 and x= -6 since it's an absolute value it would have 2 solutions

disa [49]3 years ago

4 0

Answer:

x=0 or x=6

Step-by-step explanation:

−4 |−2x + 6| = -24

Step 1: Divide both sides by -4.

−4 /-4 |−2x + 6| = -24 / -4

|−2x + 6| = 6

Step 2: Solve Absolute Value.

|−2x + 6| = 6

Possibility 1 Equation: −2x + 6 = 6

Possibility 2 Equation: −2x + 6 = −6

Solve for Possibility 1:

−2x + 6 = 6

Subtract 6 from both sides:

−2x + 6−6 = 6-6

-2x = 0

Divide both sides by -2

−2/-2 x = 0/-2

<u>Possibility 1: x=0</u>

Solve for Possibility 2:

−2x + 6 = −6

Subtract 6 from both sides

−2x + 6−6 = −6-6

−2x = −12

Divide both sides by -2

−2/-2 x = −12 /-2

<u>Possibility 2: x=6 </u>

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PLS HELP!! WILL MAKE BRAINLIEST!!!!

poizon [28]

Answer:

(86.2,0) is the x-intercept.

Step-by-step explanation:

You can use the slope formula to figure this one out:

Just use two of the points on the table, any of them will work:

$(33,-22)\\(52,-33)$

$\frac{-22-33}{33-52} =\frac{-55}{-19}=\frac{55}{19}$

Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:

$(71,-44)\\y=mx+b\\-44=\frac{55}{19} (71)+b$

Now just solve for b to get the y intercept:

$-44=\frac{55}{19}(71)+b\\-44= \frac{3905}{19} +b\\(-\frac{3905}{19})-44=\frac{3905}{19} +b(-\frac{3905}{19})\\ -\frac{4741}{19}=b$

Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.

$0=\frac{55}{19}x-\frac{4741}{19}\\(+\frac{4741}{19})0=\frac{55}{19}x-\frac{4741}{19}(+\frac{4741}{19})\\\\\frac{4741}{19}=\frac{55}{19}x\\\frac{\frac{4741}{19}}{\frac{55}{19} }= \frac{\frac{55}{19} x}{\frac{55}{19} } \\\frac{431}{5} =x\\or\\86.2=x$

And that's the x-intercept.

5 0

2 years ago

Read 2 more answers

Kevin and Randy Muise have a jar containing 59 coins, all of which are either quarters or nickels. the total value of the coins

valkas [14]

Answer:

there are 28 quarters and 13 nickels

Step-by-step explanation:

6 0

3 years ago

I need answer ASAP I’m next 10 mins

34kurt

Answer:

Step-by-step explanation:

First simplify the first term to get

10y^4

then multiply 10y^4 by 4 square root 6y^3

40y would be all you needed to get answer

6 0

3 years ago

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Simplify completely: 8x+4/x^3+23÷4x^2-10x-6/9-x^2

Helen [10]

Answer:

The simplified form is: $-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

Step-by-step explanation:

To simplify the expression given we, need to open the brackets, and if there is power term. Then we need to group all the like terms and then arrange in the descending order of powers of the given expression.

Now the expression that is given to us is:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2$

Here we will simplify it by grouping the like terms, as follows:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2\\=-x^2+8x-10x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{6}{9}=-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

So this is the required simplified form.

7 0

3 years ago

In parallelogram PQRS, PQ =4x+28, QR=x+31, RS = 10X+4. Which of the

Doss [256]

Answer:

Step-by-step explanation:

1) we know that opposite sides of a parallelogram are congruent so

4x+28=10x+4

2) subtract 4 on both sides

4x+24=10x

3)subtract 4x on both sides

24=6x

4)divide by 6 on both sides

4=x

5)substitute for x

length of RS =10(4)+4

length of RD=44

3 0

3 years ago