3 years ago

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Mathematics

1 answer:

Ber [7]3 years ago

5 0

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What’s the axis of symmetry for f(x)=2(x-3)^2+6

Nadya [2.5K]

Answer: The axis of symmetry is x=3.

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3 years ago

Would you need to use the chain rule to find the derivative of this function?

Nutka1998 [239]

Answer:

TRUE. We need to use the chain rule to find the derivative of the given function.

Step-by-step explanation:

Chain rule to find the derivative,

We have to find the derivative of F(x)

If F(x) = f[g(x)]

Then F'(x) = f'[g(x)].g'(x)

Given function is,

y = $\sqrt{2x+3}$

Here g(x) = (2x + 3)

and f[g(x)] = $\sqrt{2x+3}$

$\frac{dy}{dx}=\frac{d}{dx}(\sqrt{2x+3}).\frac{d}{dx} (2x+3)$

y' = $\frac{1}{2}(2x+3)^{(1-\frac{1}{2})}.(2)$

= $(2x+3)^{-\frac{1}{2}}$

y' = $\frac{1}{\sqrt{2x+3}}$

Therefore, it's true that we need to use the chain rule to find the derivative of the given function.

8 0

3 years ago

The sale price of the new car was $14,500. The sales tax rate was 6.5 percent. What was the sale tax on the car?

elixir [45]

$942.50.

$14,500 x 0.065 = $942.50

6.5% = 0.065

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4 years ago

Which statement correctly describes the relationship between the graph of f(x)g(x) and g(x)=f(x−7)?

Lelu [443]

G(x) would have to be -->7 units.
The relationship between f(x) and s(x) where s(x)=af(x-b)+z is that g(x) is f(x) stretched by the reciprocal of a, b is the liar (all x values go up if b goes down and visa versa), and it moves up z units.

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3 years ago

Read 2 more answers

Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, th

Romashka-Z-Leto [24]

X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740

7 0

3 years ago