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Mariulka [41]
2 years ago
5

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.

Mathematics
1 answer:
Irina-Kira [14]2 years ago
3 0
<span><span>The average rate of change formula is basically the slope formula, where you plug in: f(b)-f(a)/b-a. Then plug in the numbers. [f(0)=1,f(3)=7)]. So, 7-1/3-0. 6/3 is 2 so the average rate of change is 2. And that makes sense because the average rate of change is always the slope, and the slope is 2.</span></span>
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lutik1710 [3]

Answer:

6 toppings

Step-by-step explanation:

The t in this equation represents the amount of toppings.

22 + 0.65t = 26

-22 -22

0.65t = 4

0.65t/0.65 = 4/0.65

t = 6

They could get 6 toppings and the total would be $25.90.

6 0
3 years ago
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alexandr1967 [171]

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2 years ago
I need help this question?
Olegator [25]

Answer: the first option is the correct answer.

Step-by-step explanation:

Let x represent the number of necklaces that he makes in a year.

Profit = Revenue - cost

The cost of making each necklace is $5. In making necklaces in a year, the fixed cost is $5000. This means that the total cost of making x necklaces in a year is

5x + 5000

Sam sells each necklace for $10 each. This means that the total amount made from selling x necklaces is $10x.

For Sam to make profit of $1000 in a year, the number of necklaces that she must sell would be

1000 = 10x - (5x + 5000)

1000 = 10x - 5x - 5000

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7 0
3 years ago
Completing the square:
vichka [17]

Answer:

Step-by-step explanation:

Key to this method is remembering that

(a+b)^2 = a^2 + 2ab + b^2

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add 3^2 = 9

x^2+6x+9 = (x+3)^2

So, c=9

Similarly, for the other two,

c = (\frac{-34}{2} )^2 = (-17)^2 = 289

You don't really have to worry about the sign, since squaring will always make it positive

(\frac{25}{13}) ^2 = \frac{625}{169}

7 0
3 years ago
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lana66690 [7]

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20

3 0
2 years ago
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