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2 years ago

For f(x) = 2x – 1 and g(x) = 9x, find f(3) + g(1) © 15 32 C 22 14

Mathematics

1 answer:

Anni [7]2 years ago

4 0

Answer:

f=5 and g=9

Step-by-step explanation:

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5 tons of fertilizer cost $6,600.00. What is the price per pound?

N76 [4]

Answer:

66 Cents per pound

Step-by-step explanation:

1 ton = 2,000 pounds

5 tons = 10,000 pounds

10,000 pounds = $6,600

1 Pound = $0.66

8 0

2 years ago

Hi. I need help with these questions (see image)<br>Please show workings.<br>

pantera1 [17]

Answer:

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

$\frac{dy}{dx}$ = f'(g(x)) × g'(x) ← chain rule

and the standard derivatives

$\frac{d}{dx}$ ( $log_{a}$ x ) = $\frac{1}{xlna}$ , $\frac{d}{dx}$ (lnx) = $\frac{1}{x}$

(a)

Given

y = $log_{a}$ $\sqrt{(1+x)}$

$\frac{dy}{dx}$ = $\frac{1}{lna\sqrt{(1+x)} }$ × $\frac{d}{dx}$ ( $(1+x)^{\frac{1}{2} }$

= $\frac{1}{lna\sqrt{(1+x)} }$ × $\frac{1}{2}$ $(1+x)^{-\frac{1}{2} }$ × $\frac{d}{dx}$ (1 + x)

= $\frac{1}{lna\sqrt{(1+x)} }$ × $\frac{1}{2\sqrt{(1+x)} }$ × 1

= $\frac{1}{2lna(1+x)}$

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

(b)

Given

y = ln sinx

$\frac{dy}{dx}$ = $\frac{1}{sinx}$ × $\frac{d}{dx}$ (sinx)

= $\frac{1}{sinx}$ × cosx

= $\frac{cosx}{sinx}$

= cotx

5 0

2 years ago

Find csc 0 if sin 0 = 5/6

Bezzdna [24]

Csc is the reciprocal of sin, so csc 0 is 6/5

3 0

3 years ago

Mrs porcelli’s classroom bulletin board is 2/1/4 feet long. Ms Smith’s bulletin board is 3 times as long Mrs porcelli’s.How long

yuradex [85]

Answer:

6.75 or 6 3/4

Step-by-step explanation:

First take the whole number and multiply that by 3.

2*3=6

Now, take the fraction and multiply that times 3.

1/4 as a decimal is 0.25. You can ignore the decimal point right now, but you have to remember it is there later.

So, whithout the decimal point, 25*3= 75.

Now, you add the decimal. The 75 is now 0.75, with the decimal.

Add the whole number and the decimal, and you have your answer!

6+0.75=6.75. As a fraction this is 6 3/4

6 0

3 years ago

A teacher is having three students take care of 28 goldfish during the summer. He gave some of them to Alaina. Then he gave twic

-Dominant- [34]

Answer:

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

Step-by-step explanation:

Let the number he gave to Alaina be x. Now, we know he gave twice as many to Miguel. Amount received by Miguel is 2x.

He gave Kira 2 times what he gave Miguel, that is 2x * 2 = 4x

Addition of all these equals 28. We now get x

4x + 2x + x = 28

7x = 28

X = 28/7

x = 4

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

4 0

2 years ago