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yKpoI14uk [10]
4 years ago
6

−6 <3n+9 <21. whats the solution

Mathematics
1 answer:
tester [92]4 years ago
5 0

We have

-6 < 3n+9 < 21.

From this we have system of inequality

-6 < 3n+9 \\3n+9 < 21

We have to simplify both inequalities

3n+9 > -6 \Longrightarrow n > -5 \\3n+9 < 21 \Longrightarrow n < 4

So we can conclude that

n > -5 \wedge n < 4 \Longrightarrow x\in(-5,4)

Hope this helps.

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63=7(5+7b) equals what
Svetach [21]

To solve this question, we can do it both ways. we can get rid of the 7 by dividing it, or we can distribute it to the parenthesis. let's do this the distribution way.

63=7(5+7b)

When distributing, the number behind (7) goes to both and all terms in the parenthesis.

63=7(5)+7(7b)

Multiply.

63=35+49b

Subtract 35.

28=47b

Divide by 49.

0.57=b

5 0
3 years ago
Read 2 more answers
Work must be shown for this problem! The figure shown below is a rhombus. Remember to solve for x and then find NO! Give both an
Alina [70]

Answer:

x = 6

NO = 26

Step-by-step explanation:

recall that for a rhombus all the sides are of equal length,

which means, PM = MN = MP = NO

we are given

MP = 5x-4  and MN = 6x-10

since MP = MN, thus

5x-4 = 6x-10   (add 4 to both sides)

5x = 6x - 10 + 4

5x = 6x - 6  (subtract 6x from both sides)

5x-6x = -6

-x =  -6

x = 6 (answer)

NO = MP = 5x-4 = 5(6) - 4 = 30 - 4 = 26

7 0
3 years ago
Read 2 more answers
What are the domain and range for the cube root function graphed below
olga55 [171]
The answer is the second one
5 0
3 years ago
Elliott is standing at the top of a store escalator that leads to the ground floor below. the angle of depression from the top o
a_sh-v [17]

The top of the escalator exists 9 feet far from the ground floor.

<h3>How to estimate how far is the top of the escalator from the ground floor? </h3>

Let h denote the distance between the top of the escalator from the ground floor.

We have existed given that the angle of depression from the top of the escalator to the floor stands 36.84°, and the escalator exists 15 feet long.

The side h exists opposite side and 15 feet side exists hypotenuse of a right triangle.

$&\sin =\frac{\text { Opposite }}{\text { Hypotenuse }} \\

$&\sin \left(36.84^{\circ}\right)=\frac{h}{15} \\

$&\sin \left(36.84^{\circ}\right) * 15=\frac{h}{15} * 15 \\

$&0.599582468446 * 15=h \\

8.993737 = h

$&h \approx 9

Therefore, the top of the escalator exists 9 feet far from the ground floor.

To learn more about the sides of a triangle refer to:

brainly.com/question/22562250

#SPJ4

5 0
2 years ago
Which is the equation of the function? f(x) = 3|x| 1 f(x) = 3|x â€"" 1| f(x) = |x| 1 f(x) = |x â€"" 1|.
irakobra [83]

Function transformation involves changing the form of a function.

The parent absolute value function is:

f(x) = |x|

If the parent function is shifted up by 1 unit, then the equation of the function would be

f(x) = |x| + 1

If the parent function is shifted right by 1 unit, then the equation of the function would be

f(x) = |x - 1|

If the above functions are stretched horizontally by a factor of 1/3, then the new functions would be

f(x) = 3|x| + 1

f(x) = 3|x - 1|

Read more about function transformation at:

brainly.com/question/1548871

5 0
2 years ago
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