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spin [16.1K]
3 years ago
6

Solve for x: −3|2x + 6| = −12

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Start with

-3|2x+6|=-12

Divide both sides by -3

|2x+6|=4

If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions

2x+6=4 \iff 2x=-2 \iff x=-1

2x+6=-4 \iff 2x=-10 \iff x=-5

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WILL GIVE BRAINLIEST
Alona [7]

Given:

One linear function represented by the table.

Another linear function represented by the graph.

To find:

The greater unit rate and greater y-intercept.

Solution:

Formula for slope (unit rate):

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

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.

m_1=\dfrac{15-5}{5-0}

m_1=\dfrac{10}{5}

m_1=2

So, the unit rate of first function is 2.

From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.

m_2=\dfrac{0-6}{-4-0}

m_2=\dfrac{-6}{-4}

m_2=\dfrac{3}{2}

So, the unit rate of first function is \dfrac{3}{2}.

Now,

2>\dfrac{3}{2}

m_1>m_2

And,

15>6

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.

4 0
2 years ago
Read 2 more answers
The sum of three consecutive integers is 90. Find the three numbers by letting x
Law Incorporation [45]

Answer:

x = 28

Step-by-step explanation:

let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)

Now,

The sum of three consecutive integers is 90

i.e.,

(x + 1) + (x + 2) + (x + 3) = 90

x + 1 + x + 2 x + 3 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x = 28

x = 28Thus, The value of x is 28

<h2><em><u>VERIFICATION</u></em><em><u>:</u></em></h2>

(x + 1) + (x + 2) + (x + 3) = 90

(28 + 1) + (28 + 2) + (28 + 3) = 90

28 + 1 + 28 + 2 + 28 + 3 = 90

90 = 90

8 0
3 years ago
Read 2 more answers
If the turning point is lower than the nearby point it's called a
ozzi

Answer:

Step-by-step explanation:

Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum

3 0
3 years ago
I need help 7th grade math i need all the answers correct please ASAP
vitfil [10]

Answer:

The 8.39-kg bag

Step-by-step explanation:

19.99 divided by 7.98 = $2.51

20.38 divided by 8.39 = $2.43

2.51 > 2.43

So 8.39-kg bag is the better buy

4 0
2 years ago
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What's the value of a<br> 2(a - 0.5a) + 3 = 4a - 1 + 5 -3a
pochemuha

Answer: There are no solutions.

Step-by-step explanation:

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