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3 years ago

If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).

1 answer:

Elena-2011 [213]3 years ago

8 0

$\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16$

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ehidna [41]

Answer:576

Step-by-step explanation:

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3 years ago

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A football team played 90 matches. They won 37 matches.

Mekhanik [1.2K]

Answer: 44 matches

Step-by-step explanation:

Let's take the given information

They won 37 matches

1/9th of their matches resulted in a draw

1/9 out of 90 is 9

You can take 90/9 and you will get 9

Now let us add 37+9 and you get 47

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3 years ago

B. Solve the following Polynomials: 1. u³ + 64

Art [367]

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

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= (4 + u)(42 – 4.u + u2).

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3 0

3 years ago

For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h

damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

$t_{1} =\frac{30}{v}$ ( $time=\frac{distance}{speed}$ )

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

$t_{2} =\frac{17}{v+2}$

now total time t spent by the bicyclist to cover entire trip is given by

$t=t_{1} +t_{2}$

$t=\frac{30}{v} +\frac{17}{v+2}$

now if v=18 , we have

$t=\frac{30}{18} +\frac{17}{20}$

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

$t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}$ $t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}$

$t=\frac{453}{180} =2.52$ hours (approx)

7 0

3 years ago

Al, Tom and Joe share €3000.

agasfer [191]

Answer:

Tom's share = €800

Step-by-step explanation:

Given that:

Amount shared by Al, Tom and Joe = €3000

Ratio of Al's share to Tom's share = 5 : 4

Joe's share = 1.5(Tom's share) = 1.5(4) = 6

Therefore,

Ratio of Al, Tom and Joe = 5 : 4 : 6

Let,

x be the number of times of amount each get.

5x + 4x + 6x = 3000

15x = 3000

Dividing both sides by 15

$\frac{15x}{15}=\frac{3000}{15}\\x=200$

Tom's share = 4x = 4(200) = €800

Hence,

Tom's share = €800

5 0

3 years ago