1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BaLLatris [955]
2 years ago
10

Solve for x: 3|x - 3| + 2 = 14

Mathematics
2 answers:
Xelga [282]2 years ago
7 0
Two solutions,
x=7
x=-1
So, D would be your answer.
PilotLPTM [1.2K]2 years ago
3 0
1 Subtract 22 from both sides
3|x-3|=14-23∣x−3∣=14−2

2 Simplify 14-214−2 to 1212
3|x-3|=123∣x−3∣=12

3 Divide both sides by 33
|x-3|=\frac{12}{3}∣x−3∣=
​3
​
​12
​​

4 Simplify \frac{12}{3}
​3
​
​12
​​ to 44
|x-3|=4∣x−3∣=4

5 Break down the problem into these 2 equations
x-3=4x−3=4
-(x-3)=4−(x−3)=4

6 Solve the 1st equation: x-3=4x−3=4How?
x=7x=7

7 Solve the 2nd equation: -(x-3)=4−(x−3)=4How?
x=-1x=−1

8 Collect all solutions
x=-1,7x=−1,7
You might be interested in
HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
3 years ago
PLEASE HELP I NEED THIS NOW WILL GIVE BRAINLIEST!
kvasek [131]

Answer:

A

Step-by-step explanation:

The edge

8 0
2 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
shepuryov [24]

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

-------------------------------------------------------------------------------------------------------------

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

5 0
2 years ago
Pls help????????????????
Zigmanuir [339]

Answer: The answer would be 40 liters

Step-by-step explanation:

first you would divide 2 by 10 which would equal 5 then multiple the 8 liters by 5 which gives you 40

8 0
3 years ago
I NEED ANSWER ASAP! I HAVE A LOT OF POINTS, I WILL GIVE 50 POINTS AND BRAINLIEST TO FIRST ANSWERRRRRR!
Mekhanik [1.2K]

Answer:

A) A = 1; B = 0; C = 20

Step-by-step explanation:

The standard form for a quadratic is

Ax^2 +Bx +C=0

We are given

1/4x^2 + 5 = 0

Rewriting

1/4x^2 +0x+ 5 = 0

A = 1/4  B=0 C=5

We can multiply each side by 4

4(1/4x^2 +0x+ 5) = 0*4

x^2 +0x+ 20 = 0

A = 1  B=0 C=20

7 0
3 years ago
Read 2 more answers
Other questions:
  • (06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4. Whoever gets t
    6·1 answer
  • Geometry(please help on 1 and 2)
    9·1 answer
  • If 9 is highlighted to b the place value wat place were do the 9 sit <br> at 50,907,652
    14·1 answer
  • The movie theater sold 56 boxes of gummy bears during the week.At this rate how many boxes of gummy bears will the movie theater
    11·2 answers
  • What is the distance between the points (-3, 9) and (5, 1)? Round to the
    6·1 answer
  • once a week you babysit your neighbor’s toddler after school, usually going to a local playground. you notice that each swing on
    7·1 answer
  • Which is closest to the mean number ??
    15·1 answer
  • the area of the surface of the swimming pool is 210 square feet. what is the length d of the deep end in feet
    10·1 answer
  • Do the ratios 7/3 and 6/2 form a proportion. <br><br> Yes or no
    5·2 answers
  • If f(x) =2x-1 and g(x)=x^2-3x-2 find (f +g) (x)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!