|3x - 9| = 12
Show all steps please and thank you!

Answers

Answer 1

Answer:

ayy I gotchuu

Step-by-step explanation:

theres gonna be two solutions

a negative then positive

positive:

|3x - 9| = 12

3x-9=12

3x=21

x=7

negative:

3x-9=-12

3x=-3

x=-1

Answer 2

Answer:

7 & -1

Step-by-step explanation:

Assuming you want the value of x...

Since the equation is wrapped in an absolute value, we must get x for both the positive and negative value.

Positive x

[tex]3x-9=12\\3x=21\\x=7[/tex]

Negative x

[tex]3x-9=-12\\3x=-3\\x=-1\\[/tex]

Both of these will equal 12 when tested.

[tex]|3(-1)-9|=12\\|-3-9|=12\\|-12|=12\\12=12\\[/tex]

[tex]|3(7)-9|=12\\|21-9|=12\\12=12\\[/tex]


Related Questions

Solve 11 < 3x+8 < 20.

Answers

Answer:

1<x<4

Step-by-step explanation:

this helps me out a lot in my math class

Answer:

x=4 and thats your answer thanks for helping you but if using the z-score it's 0

Step-by-step explanation:

1<x<4

What is the domain of the relation (8, -2), (4, -2), (-3, 2), (-5, -3)?
A. {8, 4, 3, -5}
B. {-8, -4, 3,5}
C. {-5, -3, 4, 8}
D. {-3, -2, 2}

Answers

Answer:

C

Step-by-step explanation:

Domain (and range) don't necessarily have to be in smallest to largest order unless your teacher requires it, so don't worry about the order.

Let's remind ourselves that the domain is the input value, or the x value, and y is the output value, or the y value. We know that in an ordered pair, the first # is x and the second # is y (because x comes before y in the alphabet). Lets look at our ordered pairs and see what the x values are.

{(8, -2), (4, -2), (-3, 2), (-5, -3)}

The x values are 8, 4, -3, and -5, therefore:

Domain: {8,4,-3,-5}

Range would equal all the y values. Remind yourself that if an x value is repeated to only write it down ONCE.

Remember, the order does not matter, so the answer would be C.

Hope this helped!

PLEASE I NEED HELP WITH MATH

Answers

Answer:

117

Step-by-step explanation:

Hi, If you were to add 75 to 42, you would get 117. Since a triangle's angles all have to add up to 180, the last angle would be 63. However, you are looking for the outside angle, which would then just be 117. Hope this is right!

Solve the equation.
8 (2-6v) +19=-61

Answers

Answer:

v = 2

Explanation:

8(2 − 6v) + 19 = −61

[ Simplify both sides of the equation ]

8(2 − 6v) + 19 = −61

(8)(2) + (8)(−6v) + 19 = −61 (Distribute)

16 + −48v + 19 = −61

(−48v) + (16 + 19) = −61 (Combine Like Terms)

−48v + 35 = −61

−48v + 35 = −61

[ Subtract 35 from both sides ]

−48v + 35 − 35 = −61 − 35

−48v = −96

[ Divide both sides by -48 ]

−48v / -48 = −96 / -48

v = 2

- PNW

the reciprocal of 3 - 1/5 is​

Answers

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

First subtract the two terms by setting the first term as a fraction.

3 * [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{5}[/tex]

Then subtract the terms.

[tex]\frac{15}{5}[/tex][tex]-\frac{1}{5}[/tex] = [tex]\frac{14}{5}[/tex]

Finally, flip the numerator and the denominator.

Find the dimensions of the rectangular box with maximum volume in the first octant with one vertex at the origin and the opposite vertex on the ellipsoid 4x^2+y^2+4z^2=4

a. The length of the box in the x-direction is:_______
b. The length of the box in the y-direction is:_______
c. The length of the box in the z-direction is:_______

Answers

Solution :

Let x, y, z be the dimensions of the rectangle.

Volume of the rectangle (V) = xyz

Given that the vertex should lie on ellipse [tex]$4x^2 + y^2+4z^2=4$[/tex] .......(i)

So here the volume xyz must be maximum with constraints above.

We solve this using Lagranches method with variable λ

Lagranches function is

[tex]$F : xyz + \lambda(4x^2+y^2+4z^2-4)=0$[/tex] .....(ii)

To find λ, [tex]$\frac{dF}{dx}=0; \frac{dF}{dy}=0;\frac{dF}{dz}=0$[/tex]

[tex]$\frac{dF}{dx}=0 \Rightarrow yz+\lambda(16x)=0 \Rightarrow \lambda = -\frac{yz}{16x}$[/tex] .............(iii)

[tex]$\frac{dF}{dy}=0 \Rightarrow xz+\lambda(2y)=0 \Rightarrow \lambda = -\frac{xz}{2y}$[/tex] ..................(iv)

[tex]$\frac{dF}{dz}=0 \Rightarrow xy+\lambda(16z)=0 \Rightarrow \lambda = -\frac{xy}{16z}$[/tex] ...............(v)

Equating (iii) and (iv)

[tex]$-\frac{yz}{16x}=-\frac{xz}{2y} \Rightarrow y^2=8x^2 \Rightarrow y = \sqrt8 x$[/tex] ...............(vi)

Equating (iii) and (v)

[tex]$-\frac{yz}{16x}=-\frac{xy}{16z} \Rightarrow z^2=x^2 \Rightarrow z = x$[/tex] ....................(vii)

Substitute (vi) and (vii) in (i),

From (i),

[tex]$4x^2 + (\sqrt8 x)^2+4x^2 = 4$[/tex]

[tex]$\Rightarrow 4x^2 +8x^2+4x^2 = 4 \Rightarrow x = \frac{1}{4}$[/tex]

From (vi),

[tex]$y = \sqrt8 x$[/tex]

[tex]$\Rightarrow y= \sqrt8 \times \frac{1}{4} \Rightarrow y =\frac{\sqrt8}{4}$[/tex]

[tex]$\Rightarrow y =\frac{\sqrt{2\times4}}{4} \Rightarrow y = \frac{1}{\sqrt2}$[/tex]

From (vii),

z = x

[tex]$z =\frac{1}{4}$[/tex]

Therefore, for maximum volume the dimensions of a rectangle box are

[tex]$x =\frac{1}{4} ; y = \frac{1}{\sqrt2} ; z =\frac{1}{4}$[/tex]

What is the measure of ZA?
100"
A. 30
B. 50°
C. 70°
D. 130°

Answers

Answe is B: 50
It needs to equal 180 so
100+30=130
180-130=50

What is the value of x?
(6x – 1)º
(5x + 5)º
(4x + 8)º
(3x)º
(5x + 3)º
X =

Answers

Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

Most living things need oxygen to survive you breathe in oxygen and it is carried to this Organ. here the red blood cells pick up the oxygen and carry the oxygen to all the body cells that need it what is this organ

Answers

Answer:

The lungs

Step-by-step explanation:

becuase biology

Joseline has 347 marbles. Ever has 4 times as many as Joseline. Pablo has 799 fewer than Ever. How many marbles does Pablo have? Joseline tiene 347 canicas. Ever tiene 4 veces más que Joseline. Pablo tiene 799 menos que nunca. ¿Cuántas canicas tiene Pablo?​

Answers

Answer:

its D

Step-by-step explanation:

pleaseeee help eoth #7

Answers

1 is the given at the top of the question and the reasoning is bec it’s given

Answer:

SAS

Step-by-step explanation:

statements:

line KN = LMline KN || LMline LN = LN∠KNL = ∠MLNΔKLN = ΔMNL

reasons:

givengivenreflexive propertyalternate interior angleSAS

If someone can just answer the first question that would be so helpful plzzz

Answers

Answer:

I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.

Step-by-step explanation:

Which of the following is equivalent to 12950+750-750

Answers

Answer:

12950

Step-by-step explanation:

please help ALGRBRA II 10 points

Answers

Use Desmos, it’s a graphing app that will show you where the point intersects

Suppose that height of community college students is a normally distributed random variable with a mean of 66 inches and a standard deviation of 5 inches. Calculate the Z-score for a student whose height is 70 inches.

Just stating an answer is not enough – you need to show how you are calculating the Z-score.

Answers

Answer:

1

Step-by-step explanation:

becouse is the best awser on there

Identify the VERTEX

Please help​

Answers

Answer:

1,-4

Step-by-step explanation:

The vertex is always that little spot there at the tip of a nonlinear function.

0.123
0.795
0.1
0.654
0.21
0.001
0.78
0.007
0.012
0.56
0.61
0.45
0.47
0.85
0.79
0.12.
0.124
0.5

Answers

Answer:

um what?

Step-by-step explanation:

What the heck are all these numbers

Need help! ASAP! With algebra

Answers

Answer:

2;4;3

Step-by-step explanation:

y=2x²+4x+3

How long does it take the kangaroo to travel 5 km

Answers

Answer:

Time taken by kangaroo to travel 5 km = 4.27 minutes.

Step-by-step explanation:

Speed of kangaroo is 44 mph.

Speed of kangaroo = 44 mph = 44 x 1.6 = 70.4 kmph = 19.5 m/s

We need to find how much time it takes to travel 5 km

Distance traveled = 5 km = 5000 m

We have

          Distance traveled =  Speed x Time taken

          5000 = 19.5 x Time taken

          Time taken = 256.41 seconds

           Time taken = 4.27 minutes.

Answer:7.5

Step-by-step explanation:

4. What is the total volume of the grain silo? Explain how you found your answer.
Write your answer in the space below.

Answers

Answer:

Multiply the surface area by the height of the cylindrical portion of the silo to determine that area. A silo with a radius of 10 feet and a height of 20 feet for the cylinder has a volume of 6,280 cubic feet. Determine the area of the dome portion of the silo with the sphere volume formula: (4/3)(pi)(r^3).

Multiply pi, or 3.14, by the square of the radius to calculate surface area. Multiply the surface area by the height of the cylindrical portion of the silo to determine that area. A silo with a radius of 10 feet and a height of 20 feet for the cylinder has a volume of 6,280 cubic feet.

Step-by-step explanation:

HELLP PLZ... Also MERRY EARLY CHRISTMAS ​

Answers

Answer:

Step-by-step explanation:

0 would represent the surface of the water

4 seguall

3

2

1 above water

0-surface of the water

-1 in the water

-2

-3

-4

Answer:

on the surface, because 0 represents sea level.

Step-by-step explanation:

Hope this helps and good luck :)

Find the equation of the purple line.

Answers

Answer:

Y-3/5x+2

Step-by-step explanation:

y=1/2x+2 because the slope is 1/2 and the y
intercept is 2

Which of the following inequalities is correct?

Answers

Answer:

B

Step-by-step explanation:

10 points for correct answer and giving brainliest

Answers

Answer: B

Step-by-step explanation:

(11 + 42 - 5) / (11 - 4) (11+42-5) 48/(11-4)  48/7​

Answers

Answer:

=  -24576/7

or

-3510.857142

both are the correct answer

Please help!
Write an equation of the line in slope-intercept form.

Answers

Answer:

y=4/2m-3 OR y=2m-3

Step-by-step explanation:

y=Mx+b

Slope = m = rise / run = 15/3 = 5

b is found by plugging a point in the equation (I tried both points)

Y=Mx + b
7=(5)(2) + b
b=-3

So your equation is

y=5x-3

does increase in sample size increases degrees of freedom for t-tests.

Answers

basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.

What is the product of(5)(3)

Answers

Answer:

15

Step-by-step explanation:

just cause

BACK AT IT AGAIN WITH 100 POINTSSSSS!!! FIRST ONE TO ANSWER GETSSSSSS BRAINLIEST!!!!!

Answers

Thank you!!!!!!!!!!!!!

Answer:

me breolllllll please

If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4

Answers

C. The monthly rate is 6pct/12 = 0.5 pct which gives 10$ each month.
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