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FromTheMoon [43]
3 years ago
13

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 1

1 + 4(x + 2y + 4)? A. 4x + 2y + 27 B. 4x + 8y + 11 C. 4x + 8y + 27 D. 4x + 8y + 10
Mathematics
1 answer:
Nady [450]3 years ago
8 0

Answer:

Correct choice is C

Step-by-step explanation:

The Distributive Property says that

a\cdot (b+c)=a\cdot b+a\cdot c.

Applying the Distributive property to the expression 4(x + 2y + 4), you'll get

4(x + 2y + 4)=4\cdot x+4\cdot 2y+4\cdot 4=4x+8y+16.

Hence,

11 + 4(x + 2y + 4)=11+4x+8y+16.

There are only two like terms 11 and 16, combining them you'll get

11 + 4(x + 2y + 4)=11+4x+8y+16=(11+16)+4x+8y=27+4x+8y.

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Which of the following is the equation of a line parallel to the line y = 3x + 2, passing through the point (10, 1)?
uysha [10]

Answer:

the answer is A

Step-by-step explanation:

for parallel m1= m2

m2 = 3

formula = y - y1 = m2 ( x - x1)

= y = 3x - 29

4 0
4 years ago
Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.
pogonyaev

We will see that g(x) is a reflection across the y-axis of f(x), then:

   g(x) = f(-x) = 3^{-x\\

<h3>How to identify the function g(x)?</h3>

By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).

So we can write:

g(x) = f(-x)

Here we know that:

f(x) = 3^x

Then, replacing f(x) on the formula for g(x), we get:

g(x) = f(-x) = 3^{-x\\

That is the function g(x) shown in the figure.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0
2 years ago
The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number?
Elis [28]
Let the two numbers be x and y.

According to your question;

x + y = 7
10y + x = 10x + y + 9

By equation 1 ; x = 7-y

Substituting the value of x ;

10y + ( 7 -y) = 10(7-y) + y + 9

9y + 7 = 70 -10y + y + 9

9y + 7 = 70 - 9y + 9

=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4

Substituting for x ;

x = 7 - y
=> x = 7 -4
=> x = 3

Thus, x = 3 and y = 4;
=> The number is 34.
5 0
3 years ago
Read 2 more answers
What is the answer???
timofeeve [1]
The answer is D. Most of the other answers are way to high to make sense
6 0
4 years ago
Read 2 more answers
Need help with last one SOS
Veronika [31]
To find x, substract 72 and 78 from 180 since all triangles are 180°

180 - 72 - 80 = 30

So x = 30

To find y, x and y equal 180 so subtract 30 from 180

180 - 30 = 150

y = 150

x = 30, y = 150
5 0
3 years ago
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