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natulia [17]
4 years ago
15

Use the distributive property to express 16+48

Mathematics
1 answer:
mylen [45]4 years ago
6 0

Answer:

16[1+3]

Step-by-step explanation:

we know that

The <u>distributive property</u> states that when a factor is multiplied by the sum of two numbers, you can multiply each of the two numbers by that factor and then add them

so

a(b+c)=ab+ac

In this problem we have

(16+48)

Decompose the numbers in prime factors

16=(2^4)\\48=(2^4)(3)

substitute in the expression

2^4+(2^4)(3)

Factor 2^4

2^4[1+3]

16[1+3]

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Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7
Mariana [72]

We are given the following functions

\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}

Therefore, f(g(x) and g(f(x)) are

\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}

5 0
1 year ago
How do you solve for x in <br> 7<br> x<br> =<br> 21<br> ?
3241004551 [841]

Answer:

x=3

Step-by-step explanation:

7x=21

divide by 7

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8 0
4 years ago
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In parallelogram RSTU, SW = 4 cm, WT = 6 cm, RS = 5 cm, and ST = 7 cm.
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<u>Answer-</u>

<em>The length of line segment WU is</em><em> 4 cm</em><em>.</em>

Option 1. 4 cm is correct.

<u>Solution-</u>

As given that, RSTU is an parallelogram.

RT and SU are its two diagonals. They intersect each other at point W.

Properties of parallelogram is that they bisect each other.

i.e SW = WU and RW = WT

As given that, SW = 4 cm.

So, WU = SW = 4 cm

Therefore, the length of line segment WU is 4 cm.

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4 years ago
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Which is the equation of the line that has a slope of zero and passes through the point (5, -2)?
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Answer:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

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