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Stels [109]
2 years ago
11

A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?

Mathematics
1 answer:
Triss [41]2 years ago
3 0

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

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Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represen
Nostrana [21]

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

7 0
2 years ago
Read 2 more answers
A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes throug
tensa zangetsu [6.8K]

Answer: C

Step-by-step explanation:

Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).

First rearrange the equation

-3x + y/2 = -3

Y = 2( 3x - 3 )

Y = 6x - 6 ..... (1)

Also, the slope of points (1, 0) and (0, -6). Will be

M = ( -6 - 0 )/( 0 - 1 )

M = -6/-1

M = 6

Using general linear equation

Y = MX + C

Let Y = 0 and X = 1

0 = 6(1) + C

C = -6

Substitutes C back into the equation

Y = 6x - 6 ...... (2)

The value of b that will cause the system to have infinitely many number of solutions is 6

3 0
2 years ago
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It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham move
MArishka [77]

The velocity of the bus is:

velocity (bus) = 36 miles / 40 min

velocity (bus) = 0.9 miles / min

 

Since the car is 1.5 times faster, so the velocity of the car is:

velocity (car) = 1.5 * 0.9 miles / min

velocity (car) = 1.35 miles / min

 

At the meeting point, the sum of the distance is equal to 36 miles. Therefore:

1.35 t + 0.9 t = 36

2.25 t = 36

t = 16 min

 

So they will meet after 16 minutes.

6 0
2 years ago
How many weeks of flea treatment would Jim’s dog get from one package if each treatment only lasted 3 weeks In a normal year whe
4vir4ik [10]

Solution

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

\frac{52}{4} =13 times

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

\frac{52}{3} =17 times


So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

4 0
2 years ago
As part of Kayla's exercise program,she either runs 6miles/day or rides her bike 10 miles/day.Her new goal is to cover a minimum
poizon [28]
6(15) + 10b > = 200
90 + 10b > = 200
10b > = 200 - 90
10b > = 110
b > = 110/10
b > = 11

so she can do 15 days of running plus 11 days of biking....which totals 26 days

8 0
2 years ago
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