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torisob [31]
3 years ago
8

Solve the inequality | 9 - 3g | ≤ 12. show work pls

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
<span> | 9 - 3g | ≤ 12
This is an example of absolute equality

it could be solved as follows:

9-3g </span>≤ 12                   and                       -(9-3g) <span>≤ 12
</span>
-9+9-3g ≤ 12-9          and                       -9+9+3g <span>≤ 12+9
</span>
-3g ≤ 3           /-3       and                       3g <span>≤ 21    /3

-1 </span>≤ g                        and                       g≤ 7

so the interval [-1,7] is the solution to your inequality






hope that helps
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1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
3 years ago
Suppose that f(x) is an EVEN function and let the integral f(x) dx from 0 to 1=5 and the integral f(x) dx from 0 to 7 =1. What i
Cerrena [4.2K]
<span>Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
</span><span>think about
x^2 from 0..1,its 1/3
from 0..7 its 7^3/3
from -1..7 its 7^3/3+1/3
</span>
<span>from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
</span><span>So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4</span>
4 0
3 years ago
The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius
olga2289 [7]
We know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units
7 0
3 years ago
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Given:
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A) =27.2
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3 years ago
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