Solve for x: -2|4x + 12| = -32 (5 points)
no solution
x = 1, x = -1
x = 1x = -7
x = -1, x = 7​

Answers

Answer 1

Answer:

x = 1, x = -7

Step-by-step explanation:

Step 1: Divide both sides by -2.

[tex]\frac{-2(|4x+12|)}{-2} = \frac{-32}{-2}[/tex] [tex]|4x + 12| = 16[/tex]

Step 2: Solve absolute value.

We know either 4x + 12 = 16 or 4x + 12 = -16.

1st Possibility:

4x + 12 = 164x + 12 - 12 = 16 - 12 (Subtract 12 from both sides)4x = 44x/4 = 4/4 (Divide both sides by 4)x = 1

2nd possibility:

4x + 12 = -164x + 12 - 12 = -16 - 12 (Subtract 12 from both sides)4x = -284x/4 = -28/4 (Divide both sides by 4)x = -7

Therefore, the answer is x = 1, x = -7.


Related Questions

can anyone fill the blanks?

Answers

Answer:

see below

Step-by-step explanation:

2/5 + 1/3 + x = 1

Get a common denominator of 15

2/5 * 3/3 + 1/3 *5/5 +x = 1

6/15 + 5/15 +x = 1

11/15 + x = 1

Subtract 11/15 from each side

11/15 +x-11/15 =15/15-11/15

x = 4/15

Please help me with this problem I will give you the brain thing and extra points
Which equation in standard form has a graph that passes through the point (5, -4) and has a slope of -6/5?
A)6x + 5y = 10
B)6x - 5y = 10
C)5x + 6y = 10
D)5x - 6y = 10

Answers

Answer:

b

Step-by-step explanation:

which graph represents the line x=4

Answers

Answer:

B

Step-by-step explanation:

With answer B, x is marked 4 on the x-axis and because there was no given y-intercept, the line must be vertical.

The relationship between the number of pounds (lb) of salmon and the price
in dollars is shown in the graph. What is the unit price of salmon?

Answers

Answer:

9 dollars per pound of salmon

im struggling with this :D i need help!

Answers

Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) [tex]$-(\sqrt[3]{8}) = -2$[/tex]

(b) [tex]$\sqrt[4]{-81}$[/tex] is not a real number

(a) [tex]$-(\sqrt[3]{8})$[/tex]:

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because [tex]2^3 = 8[/tex].

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, [tex]$-(\sqrt[3]{8}) = -2$[/tex].

(b) [tex]$\sqrt[4]{-81}$[/tex]:

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

To know more about roots, refer here:

https://brainly.com/question/12105008

#SPJ2

Are the points (3,2) (8,16) (13,8) (14,14) (20,5) (24,8) (27,2) (31,6) (31,3) a function?

Answers

Answer:

No, The domains of a same number are said twice.

Step-by-step explanation:

If it is the range (y) it doesn't matter twice or not.

Answer:

The given relation is not a function.

Step-by-step explanation:

Given the relation: {(3,2) (8,16) (13,8) (14,14) (20,5) (24,8) (27,2) (31,6) (31,3)}

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

We need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)?  In this case, the answer is no.  The input value (x = 31) goes with two output values, 6 and 3.   It only takes one input or x-value to associate with more than one output value to be invalid as a function.

Another way to find out whether a relation or a set of given points represent a function through the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

To use the vertical-line test, imagine dragging a ruler held vertically across the  graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given set of points, every vertical line intersects the graph in at most one point, except for the x-value = 31, where the vertical line contains two points (in red dots) in it:  (31,6) and (31,3).  The given graph fails the Vertical Line Test, which means that it is not a function.

Attached is a screenshot of the graph where I performed the Vertical Line Test.  

   

Please mark my answers as the Brainliest if you find my explanation helpful :)

Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate

Answers

Answer: £784.08

Step-by-step explanation:

First find 1% of 800, which is 800/100=£8

800-8= £792 after 1 year

find 1% of 792, which is 792/100=£7.92

792-7.92= £784.08

What 2 decimal place number lies between 4.174 and 4.189 ?

Answers

This question is a bit vague to me but I will answer it as best as I can:

Answer: 4.18

When looking at decimals, you only focus on the numbers after the “.” Point
Since the numbers are .17 approximately and .19 approximately when rounded to the nearest hundredth

We can safely .18 is in between .17 and .19
Because the integer 18 is between 17 and 19 on the real number spectrum.

Therefore 4.18 is between 4.174 and 4.189

Brandon enters bike races. He bikes 9
1
2
miles every
1
2
hour. Complete the table to find how far Brandon bikes for each time interval.

Distance (mi) 9
1
2

Time (h)
1
2
1 1
1
2
2 2
1
2

Answers

It's very difficult to understand the chart.Can you please take a screenshot of the chart?

Consider the following data set:

2 , − 3 , − 3 , 1 , 8 , 12 , 14 , 2

Find the lower quartile.

Answers

Answer:

1

Step-by-step explanation:

that's the lowest number

what could be the answer to my question in my maths work : 4.5 x 0.2

Answers

The answer issssssss 0.9

what is 2x86 + 87x3 kkkkkkkkkkkkkkk

Answers

Answer:

the Answer is 433

Step-by-step explanation:

Answer:

433

Hopefully this is right

What is the length of the missing side?

(your answer should be in decimal format up to two decimal place OR left as a square root)

Answers

Answer:

the length of missing side is √115(ie.10.723)

How do you evaluate this expression

Answers

Answer:

= 3

Step-by-step explanation:

What is the value of x?

Answers

Answer:

D. 16

Step-by-step explanation:

1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).

2. (Solving)

Step 1: Subtract 7x from both sides.

[tex]8x-8-7x=7x+8-7x[/tex] [tex]x-8=8[/tex]

Step 2: Add 8 to both sides.

[tex]x - 8 + 8 = 8 + 8[/tex] [tex]x = 16[/tex]

Step 3: Check if solution is correct.

[tex]8(16)-8=7(16)+8[/tex] [tex]128-8 = 112+8[/tex] [tex]120 = 120[/tex]

Therefore, the answer is D. 16.

A local mechanic charges customers a flat fee of $60 before any work is done and a rate of $85 per hour for labor. Which
equation represents the relationship between the total charge for labor, L, in dollars and the number of hours worked, H?

Answers

Answer: The equation would be L = 85H + 60

Step-by-step explanation:

How do you solve question 6? (attachment included)

Answers

Answer:

9 i think

Step-by-step explanation:

THIS IS MY LAST QUESTION PLEASE HELP ME ILL LOVE U FORVER.

Answers

Answer:

Part A: 6250

Part B: No

Step-by-step explanation:

Part B: When Time is  2 Hours, the cost is $30.

            30x3=90 < 100

         So the unlimited weekly pass is not cheaper

                  (Find the value of y by given x)

Help please and thank you

Answers

The answer could be 2 i don’t know really

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The opposite sides of a rectangle are congruent , then

10x - 1 = 4x + 2 ( subtract 4x from both sides )

6x - 1 = 2 ( add 1 to both sides )

6x = 3 ( divide both sides by 6 )

x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( = 0.5 )

-7+ 3x-2(3x+4)= 5(2x-3) + 4 (3x - 1) - 4.

Answers

Answer:

[tex] - 7 + 3x - 2(3x + 4) = 5(2x - 3) + 4(3x - 1) - 4 \\ - 7 + 3x - 6x - 8 = 10x - 15 + 12x - 4 - 4 \\ - 3x - 15 = 22x - 15 - 8 \\ 25x = 8 \\ x = \frac{8}{25} [/tex]

3x^(2)-4 x=2 HELP ASAP

Answers

Answer:

8

Step-by-step explanation:

If you're evaluating, then substitute x=2 into the equation.

That gets you 3(2)^2-4

Then do 2^2 and multiply by 3, that should get you 12

After that, subtract 4 from 12, which gets you 8

The answer is 8 trust

Which of the following expressions could be used to calculate the volume of the following sphere, with a diameter of 6cm.

Answers

Answer:

[tex]\frac{4\pi (3)^{3} }{3}[/tex]

Step-by-step explanation:

Because radio=6/2=3 cm (half of diameter)

I hope this help you

how many hours and minutes are between 8:00 am and 11:45 am?​

Answers

Answer:

3 hours and 45 minutes i hope i helped you :)))

Step-by-step explanation:

8. Name two line segments.

Answers

I think you forgot to include photo in your questuon.
A tube light.: It is straight and has a fixed length of about 3-5 feet.
A pen / pencil.: A pen or a pencil are usually straight and are of a fixed length of about 15-20 cm.

If a 50 kg object is at a location 25,600 km from Earth’s center, what is the gravitational force exerted by the object on Earth? In what direction does that force act?

Answers

Answer:

Approximately [tex]30\; \rm N[/tex] toward the center of the object.

Step-by-step explanation:

Look up the gravitational constant and the mass of the earth:

[tex]\begin{aligned}G &\approx 6.67 \times 10^{-11}\; \rm m^{3} \cdot kg^{-1} \cdot s^{-2} \\ &= 6.67 \times 10^{-11} \; \rm N \cdot m^{2} \cdot kg^{-2}\end{aligned}[/tex].

[tex]M \approx 5.97 \times 10^{24}\; \rm kg[/tex].

Convert the unit of distance to standard units:

[tex]\begin{aligned}r &= 25600\; \rm km \\ &= (25600 \times 10^{3})\; \rm m \\ &= 2.56 \times 10^{7}\; \rm m\end{aligned}[/tex].

Consider two spherical objects with mass [tex]m_{1}[/tex] and [tex]m_{2}[/tex]. Let [tex]r[/tex] denote the distance between the centers of the two objects. By Newton's Law of Universal Gravitation, the size of the gravitational force between these two objects would be:

[tex]\begin{aligned}F &= \frac{G \cdot m_{1} \cdot m_{2}}{r^{2}}\end{aligned}[/tex].

Thus, the size of the gravitational force between this object and the earth would be:

[tex]\begin{aligned}F &= \frac{G \cdot m \cdot M}{r^{2}} \\ &\approx \frac{1}{2.56\times 10^{7}\; \rm m} \\ &\quad \times 6.67 \times 10^{-11}\; \rm N \cdot m^{2}\cdot kg^{-2} \\ &\quad \times 50\; \rm kg \times 5.97 \times 10^{24}\; \rm kg \\ &\approx 30\; \rm N\end{aligned}[/tex].

Since gravitational force is attractive, the [tex]50\; \rm kg[/tex] object in this question would attract the earth through the gravitational force. Thus, this force would point towards the center of this [tex]50\; \rm kg\![/tex] object.

Please answer all these with shown work I need them now

Answers

Answer:

1. 6+x, 2. 8 + 7x^2 - 2x + 5x^3, 3. 16x^3+11x^2-17x-12, 4. (x-2)(x+9), 5. 2x+3)(2x-3), 6. 2x(x+2)(x+5)

Step-by-step explanation:

Number 1

1. 2-3x+5+7+4x-8

2. 7-3x+7+4x-8

3. 14-3x+4x-8

4. 14+x-8

5. 6+x

Number 2

1. 8+3x^2+x -5x^3+4x^2-3x

2. 8+7x^2+x+5x^3-3x

3. 8+7x^2-2x+5x^3

Number 3

1.(simplify) 10x^3 + 5x^2 - 20x + 6x^2 + 3x - 12

2. 16x^3+5^2-20x+6^2+3x-12

3. 16x^3+11x^2-20x+3x-12

4. 16x^3+11x^2-17x-12

Number 4

(x-2)(x+9)

Number 5

(2x+3)(2x-3)

Number 6

2x(x^2+7x+10) or 2x(x+2)(x+5)

Nicole is making tuna salad for her office colleagues. It takes 2/5 of a pound of canned tuna to make 5 portions of salad. She uses 6/5 pounds of canned tuna for every 2 onions used.

If Nicole uses a total of 4 onions, then how many portions of salad does she make?
A.
30 portions
B.
25 portions
C.
35 portions
D.
15 portions

Answers

Answer:

She makes 30 portions.

Step-by-step explanation:

To find, you would multiply the amount of tuna you need by the number of onions nicole used.

6/5x2 = 12/5

12/5 ÷ 2/5 = 6

6x5 = 30

She makes 30 portions.

The volleyball team needs new uniforms. The students plan to sell plush toy eagles (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 18 eagles for $51.84. Company B sells 12 eagles for $34.32. Company C charges $45.60 for 16 eagles. Which company has the best buy?​

Answers

Answer:

I think C has the best buy

lines c and d are perpendicular. If the slope of like c is -4, what is the slope of line d?
A. 4
B. -1.4
C. -4
D. 1/4

Answers

Answer:

A 4

Step-by-step explanation:

-1/-4 = 4

What is the vertex form of the equation?
y=-22 + 122-4

Answers

Answer: y=140!!!

:)

Hope you have a good one <3

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