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3 years ago

Solve for x: −3|x + 7| = −12

Mathematics

2 answers:

noname [10]3 years ago

8 0

Solve for x: −3|x + 7| = −12

−3|x + 7| = −12

x= -3, -11

Yuliya22 [10]3 years ago

7 0

Answer:

x = -3 or x = -11

Step-by-step explanation:

−3|x + 7| = −12

To solve for x we need to get 'x' alone. Here we are given with absolute function. we need to isolate absolute function alone.

Divide both sides by -3

|x+7| = 4

For absolute function we consider two cases, positive and negative

If |x| =a then x=a or x=-a

|x+7| = 4

x+7 = 4 or x+7 = -4

Solve both equations for x. Subtract 7 from both sides

x = -3 or x = -11

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3q+4+9=-14 what is Q

BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

$\huge{3q+4+9=-14}$

We can add 4 and 9 together.

$\huge{3q+13=-14}$

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

$\huge{3q+13-13=-14-13}\\\huge{3q=-27}$

We are reaching to the final step where we divide the whole equation by 3.

$\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}$

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

$\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}$

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

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3 years ago

The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?

Maru [420]

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

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Let y=7

7 =x+5

Subtract 5

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2=x

Let y= 9

Subtract 5

9-5 x+5-5

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Step-by-step explanation:

The degrees of (5y-4)° and 3y° both (added together) sum up to 180 degrees.

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