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il63 [147K]
4 years ago
7

A computer can sort x objects in t seconds, as modeled by the function

Mathematics
1 answer:
lara [203]4 years ago
4 0

Answer:

48 objects

Step-by-step explanation:

we have

t=0.003x^{2}+0.001x

where

t is the number of seconds

x is the number of objects

For t=7 sec

substitute in the equation and solve for x

7=0.003x^{2}+0.001x

Solve the quadratic equation by graphing

The solution is x=48 objects

see the attached figure

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What is the solution to the system that is created by the equation y= 2x + 10 and the graph shown below? (–8, –6) (–4, –2) (0, 2
Natasha_Volkova [10]

Answer:

The solution to the system that is created by the equation y = 2x + 10 is

( -8 , -6 )

Step-by-step explanation:

Given:

y = 2x + 10

Justification:

For a Point to be a solution of the system of the equation of a line then it must satisfy the equation by substituting the X coordinate and Y coordinate.

Left hand side  = Right-hand side

For point (–8, –6)

Put x = -8 and y = -6 in the given equation then

Left hand side = y

                        = -6

Right-hand side = 2× -8 + 10

                           = -16 + 10

                           = -4

∴ Left hand side = Right-hand side

∴ Point (–8, –6) is the Solution for y = 2x + 10

For points (–4, –2), (0, 2), and (2, 4)

Left hand side ≠ Right-hand side

∴ Points (–4, –2), (0, 2), and (2, 4) are not a Solution.

3 0
4 years ago
Read 2 more answers
Please help, im super behind :(((
Verdich [7]

Answer:

the first one is a function! there are no repeated x values in a function

8 0
3 years ago
Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total p
KonstantinChe [14]

Answer:

$108

Step-by-step explanation:

1 box = $12

18 boxes = 12×18 = $216

Total = 18×65 = 1170 pens

Cost price, Cp = $216

3 = $1

378 = 378/3 = $126

1170-378= 792 pens remaining

4 = $1

792 = 792/4 = $198

Total selling price, sp = 126+198 = $324

Profit = Sp - Cp = 324 - 216 = $108

8 0
3 years ago
"a clock with hour and minute hands is set to 1:00" "after 20 minutes, what will"
algol [13]
I think it should be 1:20
3 0
3 years ago
10. If R is the midpoint of QS, find QS.
Art [367]

<u>Statement</u><u>:</u>

R is the midpoint of QS.

<u>To </u><u>find </u><u>out:</u>

The measure of QS.

<u>Solution</u><u>:</u>

  • QR + RS = QS
  • Since R is the midpoint of QS, then QR = RS.
  • QR = 2x + 16, RS = 5x - 17.
  • Therefore, 2x + 16 = 5x - 17
  • or, 2x - 5x = -17 - 16
  • or, -3x = -33
  • or, x = -33 ÷ -3
  • or, x = 11
  • Therefore, QR = 2(11) + 16
  • = 22 + 16 = 38
  • So, QS = 2QR
  • = 2 × 38
  • = 76

<u>Answer</u><u>:</u>

QS is 76.

Hope you could understand.

If you have any query, feel free to ask.

8 0
3 years ago
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