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ELEN [110]
4 years ago
6

11. What function is shown by the graph below

Mathematics
1 answer:
Anika [276]4 years ago
6 0

Answer:

The function shown by the graph is  f(x)=1+\frac{1}{2}\sqrt[3]{x-2} ⇒ 1st answer

Step-by-step explanation:

<em>To find the function chose two points from the graph and substitute their x-coordinates in each function, the right function we give you the corresponding y-coordinates</em>

From the figure:

∵ The graph passes through points (2 , 1) and (3 , 1.5)

∵ f(x)=1+\frac{1}{2}\sqrt[3]{x-2}

∵ x = 2

∴ f(2)=1+\frac{1}{2}\sqrt[3]{2-2}

∴ f(2)=1+\frac{1}{2}\sqrt[3]{0}

∴ f(2)=1+0

∴ f(2) = 1 ⇒ same value of y-coordinate

∵ x = 3

∴ f(3)=1+\frac{1}{2}\sqrt[3]{3-2}

∴ f(3)=1+\frac{1}{2}\sqrt[3]{1}

∴ f(3)=1+\frac{1}{2}

∴ f(3) = 1.5 ⇒ same value of y-coordinate

∴ The function shown by the graph is  f(x)=1+\frac{1}{2}\sqrt[3]{x-2}

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nignag [31]

1) 8 + 4 = -5 + 7

     12   =    2

        FALSE

2) y = -11x + 4

(0, -7):   -7 = -11(0) + 4   ⇒   -7 = 0 + 4   ⇒   -7 = 4   False

(-1, -7):  -7 = -11(-1) + 4   ⇒   -7 = 11 + 4   ⇒   -7 = 15   False

(1, -7):  -7 = -11(1) + 4   ⇒   -7 = -11 + 4   ⇒   -7 = -7   True

(2, 26): 26 = -11(2) + 4   ⇒   26 = -22 + 4   ⇒   26 = -18   False

Answer: C

3) Input       Output

     0                0

  <u>   1    </u>             3            

    2             <u>    6  </u>

    3                 9

 <u>   4    </u>          <u>  12   </u>

    5                 15

    6              <u>   18  </u>

Rule: input is being added by 1, output is 3 times x

4) c = 65h

5) 2x = -6

   \frac{2x}{2} = \frac{-6}{2}

    x = -3

6) 8j - 5 + j = 67

        9j - 5 = 67   <em>added like terms (8j + j)</em>

       <u>      +5</u>   <u>+5 </u>

        9j      = 72

       \frac{9j}{9} = \frac{72}{9}

        j      = 8

7) y = mx + b

<u>   -b</u>    <u>      -b  </u>

y - b = mx

\frac{y - b}{x} = \frac{mx}{x}

\frac{y - b}{x} = m

5 0
4 years ago
Anthony deposited $14,000 with a bank in a 5-year certificate of deposit yielding 6% compounded daily. Find the compound amount
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Answer:

Total = 14,000 * 1 + (.06 / 365) ^365*5

Total = 14,000 * 1.0.000164383561643836^1,825

Total = 14,000 * 1.3498255274

Total = 18,897.56

Step-by-step explanation:

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4 years ago
45% of what number is 63
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Step-by-step explanation:

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Which expression is equivalent to (x+4)^2
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Step-by-step explanation:

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3 years ago
Read 2 more answers
a group friends ordered 3 burgers and 3 medium fries for a total of 20.25 .Another group of friends ordered 5 burgers and 8 medi
matrenka [14]
Answer: a burger is $5.25, fries are $1.50

b = burger, f = fries
3b + 3f = 20.25
5b + 8f = 38.25

First, solve for b in terms of f
3b = 20.25 - 3f
b = 6.75 -f

Then substitute that for b in the other equation to solve and get a numerical value for f.

5(6.75 -f) + 8f = 38.25
33.75 -5f +8f = 38.25
33.75 + 3f = 38.25
3f = 4.5
f = 1.5

Now substitute that in to get a numerical value for b
b = 6.75 - 1.5
b = 5.25

Checking the math:
3b + 3f = 20.25
3(5.25) + 3(1.5) = 15.75 + 4.5 = 20.25
5 0
3 years ago
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