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3 years ago

What expression is equivalent to 4(2x+3)

Mathematics

1 answer:

yuradex [85]3 years ago

4 0

Answer: 8x+12

Distribute the 4. So, 4(2x)+4(3). Then you end up with 8x+12.

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What is the inverse of the function f(x) = x - 12?

ludmilkaskok [199]

Answer: $\displaystyle f(x)^{-1}=x+12$

Step-by-step explanation:

First, we will rewrite the function in terms of y as in y = x - 12.

Second, we will swap the x and y values.

y = x - 12

x = y - 12

Third, we will solve for y. In other words, we will isolate the y variable and get it "by itself" on one side of the equal sign.

x = y - 12

x + 12 = y

y = x + 12

Lastly, we will change y back into terms of the function, but the inverse.

$\displaystyle f(x)^{-1}=x+12$

Learn more about the inverse of a function here:

brainly.com/question/940569

7 0

2 years ago

PLEASE HELP FAST ITS DUE SOONNN

Rudik [331]

Answer:

ST = CHORD

PR = RADIUS

MN = DIAMETER

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

Decimal multiplier by 1.7%

Svet_ta [14]

Answer:

times by 1.17

Step-by-step explanation:

hope this helps!

please give me a brainliest!!<3

3 0

3 years ago

Read 2 more answers

While at the pumpkin farm, you also bought a taffy apple for $2.10, a pound of apples for $4.45 and a mum plant for $10.30. You

lbvjy [14]

Answer: B. $3.15

Step-by-step explanation: Hi! So first things you want to add all the things he bought together and then subtract it from the $20. I’m sorry if this isn’t right.

5 0

3 years ago

Read 2 more answers