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Mice21 [21]
2 years ago
14

If p() = x2 - 1 and q(x) - 5(x-1), which expression is equivalent to (p - q)(x)?

Mathematics
1 answer:
TiliK225 [7]2 years ago
7 0

Answer:

\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to} \text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}

Step-by-step explanation:

Given:

  • p(x) = 2x2 - 1
  • q(x) = 3(x - 1)

To find:

  • (p - q)(x)

We know:

  • (p - q)(x) = p(x) - q(x)

Substitute

  • (2x^2 - 1) - 3(x - 1)

\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}

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What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively
ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV)  of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index  = 49.7/340

Profitability index  = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

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3 0
1 year ago
If a can is 20cm Haigh X 8cm diameter what is the volume
sattari [20]
Radius=8/2=4cm

volume=4*4*3.14*20=1004.8

The answer is  1004.8cm₃

7 0
3 years ago
The seventh grade choir sold pizzas as a fundraiser. The choir teacher created the graph below for the students.
frez [133]

Answer:

C

Step-by-step explanation:

We are trying to find the profit for every pizza sold. Since looking at the x axis, the point in which its x coordinate is 1 cannot be easily identified. Thus, we shall derive the answer using a point that can be easily identified.

We observe that the two points, (10,12) and (20,24) sits nicely on the graph. I will be using the first coordinate above to derive the answer.

For every 10 pizzas sold, $12 of profit is made.

10 pizzas ----- $12 profit

1 pizza ----- $12 ÷10= $1.20

Hence, the unit rate of profit for the pizzas is $1.20 per pizza.

3 0
3 years ago
The given two-parameter family is a solution of the indicated differential equation on the interval
mr_godi [17]

Answer:

I do 1 option for you as an example, you need to check the leftover by yourself.

Step-by-step explanation:

for d) y(0) = 0 and y'(pi) =0

y(0) = C_1e^0cos(0)+ C_2 e^0 sin(0) = 0 \longrightarrow C_1 = 0

y(x) ' = C_1e^x cos(x) - C_1e^x sin (x) + C_2e^x sin(x) + C_2e^x cos(x)

y(\pi)'=C_1e^\pi cos(\pi)- C_1e^\pi sin(\pi)+ C_2e^\pi sin(\pi) + C_2e^\pi cos (\pi)

Replace C_1 = 0 we have

y'(\pi) = -C_2e^\pi = 0

if and only if C_2 =0

Hence the given solution does not work.

then, d is NOT the correct answer.

3 0
3 years ago
A car travels at an average speed of 40 miles per hour for the first 100 miles of a 200-mile trip, and at an average speed of 50
Harlamova29_29 [7]
Total distance = 200 miles

Time needed for the first 100 miles
= 100 ÷ 40 = 2.5 hours

Time needed for the second 100 miles
= 100 ÷ 50 = 2 hours

Total time = 2.5 + 2 = 4.5 hours

Average speed = 200 ÷ 4.5 hours = 44.4 miles per hour
3 0
3 years ago
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