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3 years ago

Which expressions are equivalent to 3(x + 3y + 2x − y)?

Mathematics

2 answers:

Irina-Kira [14]3 years ago

8 0

3(x + 3y + 2x − y) = 3(3x + 2y)
= 9x + 6y
See if any of these match an answer option.

VikaD [51]3 years ago

3 0

Use distributive property, and simplify like terms.

3(x + 3y + 2x - y)
= 3(x) + 3(3y) + 3(2x) + 3(-y)
= 3x + 9y + 6x - 3y
= 9x + 6y

Therefore, 9x + 6y is equal to 3(x + 3y + 2x - y)

Also, 9x + 6y can be factored into 3(3x + 2y).
3(3x + 2y)
= 3(3x) + 3(2y)
= 9x + 6y

So this pair is equivalent: 3(3x + 2y) and 9x + 6y

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Which point is on the graph of f(x) = 2*5^x

vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

$f(x)=2(5^x)$

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

<u><em>Verify each case</em></u>

case A) (0,0)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 0$

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

$f(x)=2(5^1)\\f(x)=2(5)=10$

Compare the value of f(x) with the y-coordinate of the ordered pair

$10=10$

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 10$

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

$f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250$

Compare the value of f(x) with the y-coordinate of the ordered pair

$19,531,250\neq 1$

therefore

The ordered pair is not on the graph of f(x)

7 0

3 years ago

Which set of numbers does -5 belong

tester [92]

Is there any more to this question? Because-5 doesn’t belong anywhere

3 0

2 years ago

The product of 12 and y increased by 11

erastovalidia [21]

Product means to multiple 12y
increase that by 11 so +11
awnser: 12y+11

3 0

3 years ago

2 While solving the equation 4(x+2) = 28, Becca

mrs_skeptik [129]

Distributive, if you do 4 times x and 4 times 2 you get 4x+8

3 0

3 years ago

Read 2 more answers

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. In a given week, he can w

Burka [1]

Answer:

Step-by-step explanation:

Let x represent the number of hours that that he spent washing cars.

Let y represent the number of hours that that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19

x ≤ 19 - 4

x ≤ 15

Also,

10x + 8 × 4 ≥ 170

10x + 32 ≥ 170

10x ≥ 170 - 32

10x ≥ 138

10x ≥ 138/10

x ≥ 13.8

The minimum number of hours is 14

6 0

3 years ago