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andrew11 [14]
2 years ago
14

Find the solution set of the inequality: -3x + 8 < 15−3x+8<15

Mathematics
1 answer:
makkiz [27]2 years ago
3 0

Answer:

x=(8/3, infinity)

Step-by-step explanation:

-3x+8<15-3x+8

-3x+8<-3x+23

8<23

15-3x+8<15

23-3x<15

-3x<-8

x>8/3

Therefore, x=(8/3, infinity)

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The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of
nalin [4]

A = l × w. Substitute 72 into A and fill in the rest of the equation.

w = l - 1. Plug l - 1 into w

72 = l × (l - 1). Multiply l by (l - 1)

72 = l^2 - l. Subtract 72 from each side.

0 = l^2 - l - 72. Factor.

0 = (l + 8) (l - 9). Set each term equal to zero.

(l + 8) = 0. Subtract 8 from each side.

l = -8. Length cant be a negative number so let's try the other term.

(l - 9) = 0. Add 9 to each side.

l = 9. The length is 9.

Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.

The width is 8 units.

8 0
3 years ago
A system of equations is shown below:
Crank
Thank you for posting your question here at brainly. Feel free to ask more questions.  

<span>The x-coordinate of the solution to this system of equations shown below is x = 2 .</span><span>   
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5 0
3 years ago
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Complete the equation of the line through (3, -1) and (4, 7)​
nikitadnepr [17]

Answer:

  y = 8x -25

Step-by-step explanation:

The two-point form of the equation of a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7-(-1))/(4-3)(x -3) +(-1)

  y = 8(x -3) -1

  y = 8x -25 . . . . slope-intercept form of the equation

_____

We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.

4 0
3 years ago
Please help me thanks
stich3 [128]

Answer:

5. 26⁰F, rise

6. 0, Added both the numbers instead of subtracting

7. 10⁰C

8. 25⁰F

9. 13⁰F

10. -4

5 0
2 years ago
Marci works at a hardware store. One cash flow estimate for their power tools department is $56,700, and the probability assessm
worty [1.4K]

Answer:

The given data represents, the 30% of TOTAL CASH INFLOW = $56,700 and it is in the power tools department.

Step-by-step explanation:

Here, according to the question:

The estimated cash flow of POWER TOOLS department  =  $56,700

Also, the probability assessment = 30%

So, the given 30% determines the percentage of cash flow in POWER TOOLS DEPARTMENT in comparison to the TOTAL CASH FLOW.

Here, Maci is trying to find out the portion of the cash inflow in power tools department with respect to the cash flow of other departments in the hardware store.

The given data represents, the 30% of TOTAL CASH INFLOW = $56,700 and it is in the power tools department.

7 0
2 years ago
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