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Andrew [12]
3 years ago
15

What is the solution to the compound inequality 5x + 7 > −8 and 3x + 7 ≤ 19?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
Solve each

5x+7>-8
minus 7 both sides
5x>-15
divide by 5
x>-3

3x+7≤19
minus 7 both sides
3x≤12
divide by 3
x≤4


so we got
x>-3 AND x≤4
and means that the solution set must satisfy both at once
so x is bigger than -3 and less than or equal to 4
so between -3 and 4 including 4
-3<x≤4

last one
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Simple 9th grade math
Liono4ka [1.6K]

Answer:

-1078

Step-by-step explanation:

To find the nth term in an arithmetic sequence we use the following formula

aₙ=a₁+(n-1)*d

Where a₁ is the first time, and d is the common difference (in this case -20)

So we have

2+(55-1)*-20

2+(54)*-20

2-1080

-1078

5 0
2 years ago
Can somebody help, will give brainliest
grigory [225]

9514 1404 393

Answer:

  • c = 2
  • segments 10, 8, 6 (top down)

Step-by-step explanation:

The sum of top and bottom bases is twice the midsegment.

  (c² +6) +(c² +2) = 2(4c)

  2c² -8c +8 = 0 . . . . . . . . . subtract 8c

  2(c -2)² = 0 . . . . . . . . factor

  c = 2 . . . . . . the value that makes the binomial be zero

The value of c is 2; the segment lengths (top-down) are 10, 8, 6.

5 0
2 years ago
If 5 times a number increased by 30 is 15, what is the number?
weqwewe [10]

Answer:

let x=the number

5x+30=15

5x=15-30

5x=-15

5x/5=-15/5

x=-3

3 0
3 years ago
Read 2 more answers
Is y=x squared a linear or nonlinear function
Leto [7]

Answer:

Linear. y = x also equals y = 1x, and you can put a line on a graph using this equation, hence the name linear.

5 0
3 years ago
Find the area of the shaded region. Express your answer in terms of pi
Likurg_2 [28]

Area of the shaded region is 540 – 65.25π.    

Solution:

Length of the rectangle = 12 + 9 + 6 + 3 = 30 in

Width of the rectangle = 18 in

Radius of the larger circle (r_1) = 12 ÷ 2 = 6 in

Radius of the medium circle (r_2) = 9 ÷ 2 = 4.5 in

Radius of the smaller circle (r_3) = 6 ÷ 2 = 3 in

Area of the shaded region = Area of the rectangle – Area of the larger circle – Area of the medium circle – Area of the smaller circle

                                   =l\times b-\pi r_1^2-\pi r_2^2-\pi r_3^2

                                   =30\times 18-\pi \times 6^2-\pi \times (4.5)^2-\pi \times 3^2

                                   =540-36\pi-20.25\pi-9\pi

                                   =540-65.25\pi

Area of the shaded region is 540 – 65.25π.    

4 0
3 years ago
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