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grigory [225]
3 years ago
8

Complete the problems. Show your work.

Mathematics
1 answer:
timama [110]3 years ago
8 0
1. =4.8
2. =40%
3. = 160
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A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?
Triss [41]

Answer:

y = -\frac{7x}{3} - 24

Step-by-step explanation:

We can model this function using the equation of a line:

y = ax + b

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

-3 = a * (-9) + b

-9a + b = -3

(-12, 4):

4 = a * (-12) + b

-12a + b = 4

If we subtract the second equation from the first one, we have:

-12a + b - (-9a + b) = 4 - (-3)

-12a + 9a = 4 + 3

-3a = 7

a = -7/3

Then, finding the value of b, we have:

-12a + b = 4

28 + b = 4

b = -24

So the equation is:

y = -\frac{7x}{3} - 24

3 0
3 years ago
Solve 7(x+4)+6(x-3)=8(x-3)-2(x+4)
MAVERICK [17]

Answer:

-6

Step-by-step explanation:

1) distribute: 7x+28+6x-18=8x-24-2x+8

2)combine like-terms: 13x+10=6x-32

3)move the variable to one side: 7x+10=-32

4)subtract 10 from both sides: 7x=-42

5) divide each side by 7: x=-6

6 0
4 years ago
<img src="https://tex.z-dn.net/?f=9%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%2012" id="TexFormula1" title="9 \times \frac{3}{4
kow [346]

9 \times 3 \times \frac{12}{4}  = 9 \times 3 \times 3 = 81

7 0
2 years ago
Read 2 more answers
explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as
Sergeu [11.5K]

Answer:

Use a compass to measure the length of AB.

Draw an arc from point B (or point A) with that distance.

Extend line AB through that arc and label the intersection as point C.

AC is twice the length of AB.

6 0
3 years ago
What is 5674324 / -6
Liono4ka [1.6K]

Answer:

-2837162/3

Step-by-step explanation:

5674324/-6

-5674324/6

-2837162/3

8 0
3 years ago
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