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Drupady [299]
3 years ago
15

Given f (x) = 3x + 4, find f (2).

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0

f(2) = 3 \cdot 2 + 4 = 6 + 4 = 10

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Express the area of the entire rectangle. you answer should be a polynomial in standard form.
mixer [17]

Answer:x^2 + 9x + 20

Step-by-step explanation:

You could just multiply (x+4)(x+5) and get x^2 + 9x + 20, but judging from the picture, it looks like they want you to split it into 4 rectangles

x^2 +4x+ 5x + 20 =x^2 +9x + 20, just like (x+4)(x+5)

8 0
3 years ago
A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed
Andre45 [30]

Answer:

The capacity of the mug = 1\frac{1}{3} cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is \frac{1}{8} full of water

⇒Total cups of water in the mug = \frac{1}{8} x

Now,

Given that, The mug contains \frac{1}{6} of a cup of water.

∴ we get

\frac{1}{8} x =  \frac{1}{6}

⇒x = \frac{1}{6} × 8

     = \frac{8}{6}

     = \frac{4}{3} = 1\frac{1}{3}

⇒x = 1\frac{1}{3}

∴ we get

The capacity of the mug = 1\frac{1}{3} cups

8 0
3 years ago
Inverse for f(x)=1/2x+3
Semenov [28]

Answer: f^{-1}(x)=2x-6

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

y=\frac{1}{2}x+3        [switch x and y]

x=\frac{1}{2}y+3        [subtract both sides by 3]

x-3=\frac{1}{2} y        [multiply both sides by 2]

y=2x-6

Now, we know that  f^{-1}(x)=2x-6.

3 0
3 years ago
Read 2 more answers
Find the value of the expression x3−y3+x2+y2+3 by substituting x=−2 and y=1.
vaieri [72.5K]

\\ \sf\dashrightarrow x^3-y^3+x^2+y^2+3

\\ \sf\dashrightarrow (-2)^3-(1)^3+(-2)^2+(1)^2+3

\\ \sf\dashrightarrow -8-1+4+1+3

\\ \sf\dashrightarrow -9+8

\\ \sf\dashrightarrow -1

8 0
3 years ago
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Find the magnitude of vector v that has an initial point of (1, 3) and a terminal point of (7, 1)
solmaris [256]

Answer:

It's totally correct with no doubt

3 0
3 years ago
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