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Svet_ta [14]
2 years ago
7

A. Solve -4x - 4 = 4. Show your work. B. Verify your solution.

Mathematics
1 answer:
Yuliya22 [10]2 years ago
4 0

Answer:

-4x=4+4

x=8/-4

x= -2

not sure how I'm supposed to verify

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Solve the inequality and express in interval notation and graph its solution on a number line
vfiekz [6]

Answer:

x ∈ (-∞, 3) U (6, ∞).

Step-by-step explanation:

x^2> 9x - 18

x^2 - 9x + 18> 0

We use factorization and optain

(x-6)(x-3)> 0

Then, we have two critical points: x=3 and x=6. Now:

(i) for x < 3 we have that x-6 <0 and x-3 <0. Then (x-6)(x-3)  > 0.

(ii) for 3 < x < 6 we have that x -6 <0 and x -3 > 0. Then (x-6)(x-3)  < 0.

(iii) for x > 6 we have that x-6 >0 and x-3 > 0. Then, (x-6)(x-3)  > 0.

conditions (i) and (iii) satisfy the inequatliy, then the solution is x ∈ (-∞, 3) U (6, ∞).

The graph is in the picture below.

7 0
3 years ago
The ratio of boys to girls in a class of
Fudgin [204]

Answer:

The answer is option A.

<h3>35.</h3>

Step-by-step explanation:

To find the number of girls in the class we must first find the total parts

That's

2 + 7 = 9

In the ratio 7 correspond to girls so the number of girls in the class are

7/9 × 45

= 7 × 5

= 35

Hope this helps you

8 0
3 years ago
Please helppp, worth 35!!!
MrMuchimi

Answer:

9.42

Step-by-step explanation:

Hey There!

The first step of this problem is to find the formula for arc length

arc-length=2\pi r(\frac{0}{360} )

r=raduis

0 = angle

now we just plug in the values

arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961

so the arc length equals 9.424777961

the last step is to round to the nearest hundreth

so your final answer is 9.42

5 0
3 years ago
A square has an apothem measuring 2.5 cm and a perimeter of 20 cm. What is the area of the square, rounded to the nearest square
Ilia_Sergeevich [38]
The apothem of a square is equal to half its side length. Therefore, the square has a side length of 5. The area of a square equals the s^2. Therefore, the area of the square is 5^2=25. (B)
6 0
3 years ago
Read 2 more answers
There are 100 bolts in 5 bookcases. What is the unit rate in bolts per bookcase?
eduard

Answer:

20/1

Step-by-step explanation:

3 0
3 years ago
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