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Elena-2011 [213]
2 years ago
7

If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).​

Mathematics
1 answer:
kramer2 years ago
8 0

Answer:

  • \boxed{ f\cdot{g}(x) = x {}^{3}  - x {}^{2}}

Step by step explanation:

Given that,

f(x) =  {x}^{2}

g(x) = x - 1

Solution:

Solving for (f•g)(x):

= f(x) \cdot g(x)

Now substitute the given values.

= x {}^{2}  \cdot(x - 1)

= x {}^{2} (x - 1)

Apply distributive property:

= (x ^{2}  \cdot x) - x {}^{2}  \cdot 1

  • \boxed{ f\cdot{g}(x) =  x {}^{3}  - x {}^{2}}

Hence,f•g(x) will be x {}^{3}  - x {}^{2}.

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Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v
defon

Answer:

13.30

Step-by-step explanation:

$79.80 / 6 hours = $13.30

3 0
3 years ago
Read 2 more answers
How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
3 years ago
The statue of liberty is 305 feet tall. A nearby building is 4/9 as tall. Find the height of the building.
inysia [295]

Answer:

The nearby building is 135 \dfrac{5}{9} feet tall.

Step-by-step explanation:

The statue of liberty is 305 feet tall.

A nearby building is \dfrac{4}{9} as tall as the statue of liberty.

To find the height of the building, you need to find \dfrac{4}{9} of 305:

\dfrac{4}{9}\cdot 305=\dfrac{1,220}{9}= 135 \dfrac{5}{9}\ feet

Thus, the nearby building is 135 \dfrac{5}{9} feet tall.

5 0
3 years ago
The value of a stock increases at a rate of 1/2% per year. If the initial value of the stock $40 a share, when will the value of
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Answer:

After 50 years the stock value will be $50 per share.

Step-by-step explanation:

Simple Interest Equation (Principal + Interest)

A = P(1 + rt)

Where:

A = Future amont = $50

P = Principal Amount = $40

r = Rate of Interest per year in decimal; r = R/100 = 0.5/100 = 0.005

t = Time Period involved in months or years  

Plug in the values

50 = 40(1 + 0.005t)

50 / 40 = (1 + 0.005t)

5/4 = 1 + 0.005t

5/4 - 1 = 0.005t

0.25 = 0.005t

t = 0.25 / 0.005

t = 50 years

4 0
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Read 2 more answers
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Answer:

15cm long

Step-by-step explanation:

8 0
3 years ago
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