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NeTakaya
4 years ago
9

Determine the solution and the reasoning that justifies the solution to the systems of equations.

Mathematics
1 answer:
Alenkinab [10]4 years ago
3 0

Answer: (-2,4), because it is the point of intersection of the two graphs

Step-by-step explanation:

i did it

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A person purchased 5k + 2 items for a total cost of 35k 2 + 29k + 6. Find the average cost per item of this purchase.
olchik [2.2K]

Answer:

\boxed{7k + 3}

Step-by-step explanation:

Average cost = total cost/number of items = (35k² + 29k + 6)/(5k + 2)

Perhaps the best way to solve this problem is to use long division.

          <u>              7k  + 3  </u>

5k + 2)35k² + 29k + 6

          <u>35k² +  14k</u>              

                       15k + 6

                       <u>15k + 6</u>

                                0

Thus,

\frac{35k^{2}+29k+ 6}{5k + 2} = 7k+3

The average cost per item is \boxed{7k+3}.

7 0
4 years ago
A stone is thrown straight up from earth with D(t)= -4.9 t^2 + vt where D = height in meters, t= time in seconds, and v= initial
Vedmedyk [2.9K]

Answer:

(a)  D(t)= -4.9 t^2 + vt

(b) 10 sec

(c) 122.5m

(d) At t= 4sec, v= 9.8m/s (upwards) and at t= 9sec, v= 39.2m/s (downwards)

(e) -24.5m

(f) -49m/s (i.e. downwards)

(g) 0

Step-by-step explanation:

(b) Time in the air = 2v/g = 10sec

(c) Maximum height = \frac{v^{2} }{2g} =122.5m

(d) Velocity at any time t = v -9.8t

     So, at t= 4sec, velocity = 49 – 9.8(4) =9.8m/s

    at t= 9sec, velocity = 49 – 9.8(9) = -39.2m/s

(e) Average velocity = \frac{\int\limits^9_4 {v-9.8t} \, dt }{\int\limits^9_4 {1} \, dt } = -24.5m

(g) the stone is thrown vertically upwards, so no horizontal distance covered.

7 0
4 years ago
Solve the equation 3x-2y =7, x+2y= -3​
swat32

Answer:

  • x=1
  • y= -2

Step-by-step explanation:

  • 3x-2y =7
  • x+2y= -3
  • 4x=4
  • x=4/4
  • x=1
  • 3x-2y=7
  • 3(1)-2y=7
  • 3-2y=7
  • -2y=7-3
  • -2y=4
  • 2y=-4
  • y=-4/2
  • y= -2
  • Verify solution
  • x+2y= -3
  • 1+2y= -3
  • 2y=-3-1
  • 2y= -4
  • y= -4/2
  • y= -2
3 0
2 years ago
Read 2 more answers
PLEASE HELP!!!
ivann1987 [24]

Answer:

The derivative of the position function gives the velocity function

 

2 t^3 + 5 t -2    derivative   =   6 t^2 + 5

6 0
3 years ago
At a sale, coats were sold for $2 each. This price was 5% of a coat's original price. How much did a coat originally cost?
erica [24]

Answer:

$40

Step-by-step explanation:

This isn't the proper way to do this but

5×20=100 so you multiply the $2 by 20

4 0
3 years ago
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