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mars1129 [50]
3 years ago
12

What algebraic expression is equivalent to this expression? 9(2x+6) - 18

Mathematics
2 answers:
pogonyaev3 years ago
8 0

Answer:

18x+36

Step-by-step explanation:

We are given the expression:

9(2x+6)-18

We want to simplify the expression. First, let's distribute the 9. Multiply each term inside the parentheses by 9.

(9*2x)+(9*6)-18

(18x)+(54)-18

Combine like terms. There are 2 constants (terms without variables): 54 and -18. We can add them together.

(18x)+(54+-18)

(18x)+(54-18)

18x+36

The expression 9(2x+6)-18 is equivalent to 18x+36

Svet_ta [14]3 years ago
3 0

Answer:

18x+36

Step-by-step explanation:

9(2x+6) - 18

Distribute

9*2x + 9 *6 -18

18x +54 -18

Combine like terms

18x+36

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For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
user100 [1]
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\
6.8x=3.5y \\
x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\
x=y-115.5 \\ \\
x=x \\
\frac{35}{68}y=y-115.5 \\
\frac{35}{68}y-y=-115.5 \\
\frac{35}{68}y-\frac{68}{68}y=-115.5 \\
-\frac{33}{68}y=-115.5 \\
y=-115.5 \times (-\frac{68}{33}) \\
y=238 \\ \\
x=y-115.5=238-115.5=122.5 \\ \\
x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
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tamaranim1 [39]
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Nate and his sister Natalie are walking around the track at school and they’re walking at a steady rate. Nate walks 5 feet in 2
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Describe the transformations of the following function. y=tan(2x-π)
Romashka [77]

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The equation is:

y = tan(2x - π)

y = tan (2*(x-π/2))

We can compare it to its parent function

g(x) = tan(x)

The answer is

Option a.

Horizontal shrink by 1/2 and horizontal shift of π/2 to the right

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Answer:

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Step-by-step explanation:

Slope formula ---

m = y2-y1/x2-x1

m = 5-9/8-6

m = -4/2

m = -2

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