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2 years ago

Help...(MATH).......

Mathematics

1 answer:

Hitman42 [59]2 years ago

7 0

If f(x) = √x and g(x) = 7x + b, then

f(g(x)) = f(7x + b) = √(7x + b)

If the plot of f(g(x)) passes through (4, 6), then

f(g(4)) = √(7•4 + b) = √(28 + b) = 6

Solve for b :

√(28 + b) = 6

(√(28 + b))² = 6²

28 + b = 36

b = 36 - 28

b = 8

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A certain amount of money is shared in a ratio 2:3:9. If the difference between the first and second shares is $40, then the amo

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3 years ago

A swimming pool is open for 7 1/2 hours a day. The pool keeps one life guard on duty at a time, and each life guard shift is 1 1

melisa1 [442]

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To find: Number of shifts per day

From given,

$\text{ Number of hours } =7\frac{1}{2} = \frac{2 \times 7 + 1}{2} = \frac{15}{2}$

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Therefore, number of shifts per day is found by dividing total number of hours by hours of each life guard shift

$\text{Number of shifts per day } = \frac{\text{Total number of hours}}{\text{each life guard shift }}$

Substituting the values we get,

$\text{Number of shifts per day } = \frac{\frac{15}{2}}{\frac{3}{2}}\\\\\text{Number of shifts per day } = \frac{15}{2} \times \frac{2}{3}\\\\\text{Number of shifts per day } = 5$

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3 years ago