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fomenos
2 years ago
12

Solve for x: |3x + 12| = 18

Mathematics
1 answer:
Alla [95]2 years ago
4 0

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

3x

3

=

6

3

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

3x

3

=

−30

3

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

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The scale model of a skyscraper being built is 4.2 feet tall. When it is finished, the skyscraper will be 525 meters tall. What
luda_lava [24]
There are two scales that may be possible for this scale model; one where it's for every foot and one where it's for every meter.
The for every foot would be better to find out since the scale would be easier to use.
First, you have to divide each sided by 4.2, since you want to find how many meters for each foot.
4.2 \div 4.2 = 1 \\ 525 \div 4.2 = 125
For every 1 foot used in the model, the actual will be 125 meters.
1 ft = 125 m
8 0
3 years ago
A machine makes 18 parts per hour if the machine work for 24 hourss how many parts will it have made
sweet-ann [11.9K]

Answer:

432 parts

Step-by-step explanation:

24 x 18 = 432

3 0
2 years ago
A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term ​
Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0
3 years ago
Graph the six terms of a finite sequence where a_1 = -3 and r = 1.5
marysya [2.9K]
Here's a graph of those terms.

6 0
3 years ago
Pretty please help I’m timed
Alex

Answer:

First one...

Step-by-step explanation:

Welp I mean if you look at the numbers -12, -3 and 7 you can see how they corrspoond to the points plotted on the first number line.

3 0
2 years ago
Read 2 more answers
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