4 years ago

Equation with 3 different opperations

Mathematics

1 answer:

Marianna [84]4 years ago

4 0

6-3+5•2=16 is the answer to ur problem

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If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

$h(x)=f\circ g(x)$

Here,

$h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}$

We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

3 0

3 years ago

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the sellin

densk [106]

Answer:

the selling price is 21 dollars

7 0

3 years ago

Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

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3 years ago

Vermont produces about 430000 gallons of maple syrup each year how many 2 quart containers of Maple Syrup can be made from 43000

Yuki888 [10]

860000 2 quart containers of syrup can be made. Good luck on your schoolwork!

5 0

4 years ago

Read 2 more answers

Geraldine is an accrual basis taxpayer who has the following transactions during the current calendar tax year: Accrued business

Artyom0805 [142]

Answer:

Total: $69,500

Step-by-step explanation:

Income:

Other than rental: 220,000

Rental: 21,000

Expenses:

Other than rental: (170,000)

Rental (9,000/6): (1,500)

Total: $69,500

3 0

3 years ago