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Pavlova-9 [17]
3 years ago
5

Solve the compound inequality.

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

-8<x < 6

Step-by-step explanation:

Given the inequality

8x > -64

x > -64/8

x > -8

-8 <x

If 10x<60

10x/10 < 60/10

x < 6

Combine both

-8<x < 6

This gives the solution

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Charlotte and Edgar's ages add up to 22. Charlotte is one year
nadya68 [22]

Answer: Charlotte's 15 and Edgar's 7

Step-by-step explanation:

7*2=14

14+1 = 15

15 + 7 = 22

8 0
2 years ago
Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3
Kazeer [188]

Answer:

The equation for the standard form of the line will be:

  • 3x + (-4y) = -12

Step-by-step explanation:

Given

  • x-intercept = –4
  • y-intercept = 3

The equation of a line in standard form

  • Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in  slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let  

(x₁, y₁) = (-4, 0)             ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3)              ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

    = (3 - 0) / (0 - (-4))

    = 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

  • Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

  • 3x + (-4y) = -12

7 0
2 years ago
( I REALLY NEED HELP I WILL GIVE BRILLIANT) If you divide 78 by 34, will the quotient be greater than or less than 34?
Kay [80]
The quotient will be less that 34 because 78 divided by 34 is 2
3 0
3 years ago
A score that is 12 points below the mean corresponds to a z-score of z = -3.00. What is the population standard deviation?
vladimir1956 [14]
Standard deviation=4.

let the mean be 12 and the score be 0 (therefore 12 point difference.)

0-12/s=-3 (s being standard deviation)
-12/4 = -3
4 0
2 years ago
Can anyone help and explain how you got the answer
MA_775_DIABLO [31]

Answer:

70

Step-by-step explanation:

Because PQ tangent to circle, angle P is 90

angle S = 180 - 90 - 20 = 70

4 0
3 years ago
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