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choli [55]
3 years ago
6

What is the average rate of change for this function for the interval from x=3 to x=5?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

Answer:

A. 49

Step-by-step explanation:

The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:

Average rate of change = \frac{f(x2) - f(x1)}{x2 - x1}

x2 = 5

x1 = 3

f(x2) = f(5) = 125

f(x1) = f(3) = 27

Thus,

Average rate of change = \frac{125 - 27}{5 - 3}

= \frac{98}{2}

Average rate of change = 49

Average rate of change of the given table values representing an exponential function is A. 49.

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3 years ago
Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form.
Kisachek [45]

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

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Plug in (1,11) and solve for a:

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3 years ago
Among 9 electrical components exactly one is known not to function properly. if 4 components are randomly selected, find the pro
seraphim [82]

Answer:

0.4444

Step-by-step explanation:

Use the following property to ease the calculation:

P(At least one)=1-P(None)

Total number of electrical components: 9

Number that does not function well :1

Number that functions well : 8

We have ^8C_4=70 ways to to choose 4 good components from 8.

We have ^9C_4=126 ways to choose 4 components from a total of 9.

If all function properly then none is bad, we ^1C_0=1 way to do this.

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P(At least one)=1-\frac{70*1}{126}

P(At least one)=0.4444

4 0
3 years ago
Read 2 more answers
Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 feet by 10 feet.
Slav-nsk [51]

Answer: Side of largest square tile will be 105 feet.

Explanation:

Since we have given that

dimensions of the wall is 42 feet by 10 feet

So,

Length of wall = 42 feet

Breadth of wall = 10 feet

First we calculate the H.C.F. of 42 and 10,

which is 2 only.

The largest square tile side would be 2 feet.

Now, we find the number of tiles used,

Number of tiles =

\frac{\text{Area of wall}}{\text{H.C.F. of }42\text{ and }11\times\text{ H.C.F. of }42\text{ and } 11}}\\\\=\frac{42\times 10}{2\times 2}\\\\=\frac{420}{4}\\\\=105

We get integer value of number of tiles.

Therefore, Side of largest square tile will be 2 feet.

7 0
2 years ago
Which of the following options have the same value as 96% of 25?
Doss [256]
A and B are correct because 96/100 is equivalent to 0.96, which is also 96%.
3 0
2 years ago
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