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snow_lady [41]
3 years ago
12

Anyone know how to solve this is for calculus?

Mathematics
2 answers:
aksik [14]3 years ago
8 0

\bf \begin{cases} f(x)=x-3\\ g(x)=x^2+1\\ h(x)=-4x+1\\ ----------\\ (g\circ h)(x)=g(~~h(x)~~) \end{cases} \\\\\\ g(~~h(x)~~)=[h(x)]^2+1\implies g(~~h(x)~~)=[-4x+1]^2+1 \\\\\\ g(~~h(x)~~)=[-4x+1][-4x+1]+1 \\\\\\ g(~~h(x)~~)=\stackrel{FOIL}{[16x^2-8x+1]}+1\implies g(~~h(x)~~)=16x^2-8x+2

ASHA 777 [7]3 years ago
3 0
So thing of that weird little circle as “of”

Thus: “g of h of x” or g(h(x)). First find h(x) by plugging x in for h and then plug whatever h(x) is in to g.

Ex. If h(x)= 4x + 2 And g(x)= 2x + 5,

g(h(x))= 2(4x + 2) + 5 = 8x + 4 + 5 = 8x + 9




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A store that sells skis buys them from a manufacturer at a wholesale price of $63. The store’s markup rate is 50%. a. What price
Reptile [31]

a. The store charges $94.5 for the skis

b. 150% of the original price is the final price

Step-by-step explanation:

The given is:

  • A store that sells skis buys them from a manufacturer at a wholesale price of $63
  • The store’s markup rate is 50%

We need to find at what price the store charges its customers for the skis and

what percent of the original price is the final price

∵ The store buys the skis at $63

∴ The cost price of the skis = $63

∵ The store’s markup rate is 50%

- Find the amount of 50% of the cost price

∵ 50% of 63 = \frac{50}{100} × 63 = 31.5

∴ the store's markup the cost of the skis by $31.5

- To find the selling price add 31.5 to the cost price

∴ The selling price of the skis = 63 + 31.5 = $94.5

a. The store charges $94.5 for the skis

To find what percent of the original price is the final price divide the final price by the original price then multiply the quotient by 100%

∵ 94.5 ÷ 63 = 1.5

∵ 1.5 × 100% = 150%

∴ The final price is 150% of the original price

b. 150% of the original price is the final price

Learn more:

You can learn more about the percentage in brainly.com/question/1834017

#LearnwithBrainly

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Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
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Step-by-step explanation:

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Here (h, k) = (5, - 7) and r = 9, thus

(x - 5)² + (y - (- 7))² = 9², that is

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In what?

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