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1 year ago

If f(x)=(3+x)/(x-3), what is f(a+2)?

Mathematics

1 answer:

tigry1 [53]1 year ago

3 0

Answer:

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,

f(a + 2) = (3 + a + 2) / (a + 2 - 3)

Simplifying the function generated above,

f(a + 2) = (5 + a) / (a - 1)

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Inductive reasoning is based on definitions. facts. patterns. rules.

irga5000 [103]

Your answer is option D rules

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3 years ago

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What are the coordinates of the vertex of the function f(x) = x2 - 12x + 5?

FinnZ [79.3K]

Answer:

The vertex is the point (6,-31)

Step-by-step explanation:

we have

$f(x)=x^2-12x+5$

This is a vertical parabola open upward

The vertex represent a minimum

Convert to vertex form

Complete the square

$f(x)=(x^2-12x+6^2)+5-6^2$

$f(x)=(x^2-12x+36)-31$

Rewrite as perfect squares

$f(x)=(x-6)^2-31$ -----> equation in vertex form

therefore

The vertex is the point (6,-31)

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3 years ago

Which is equal to 47 __ 5

Sergeu [11.5K]

D
•
•
•
5x9= 45 remainder3 which means it 9 3/5

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2 years ago

30g of sugar is used to make 4 cakes. How much sugar is used to make 7 cakes

tankabanditka [31]

Answer:

52.5

Step-by-step explanation:

well first you want to find the ratio and to do that just do 30 / 4 which is

7.5 so for every 1 cake you need 7.5 grams of sugar

if you plug in 7 it is just 7 * 7.5

7 * 7.5 = 52.5

so it takes 52.5 grams of sugar to make 7 cakes

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2 years ago

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Find the derivative of the function. y = sin−1(6x + 1)

liraira [26]

If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

$y=\sin^{-1}(6x+1)\implies\sin y=6x+1$

(true for y between -π/2 and π/2)

Now take the derivative of both sides and solve for it:

$\cos y\dfrac{\mathrm dy}{\mathrm dx}=6$

$\dfrac{\mathrm dy}{\mathrm dx}=6\sec y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\cos\left(\sin^{-1}(6x+1)\right)}$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\sqrt{1-(6x+1)^2}}$

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2 years ago