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OleMash [197]
3 years ago
10

What is the average rate of change for this exponential function for the

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

Option (D).

Step-by-step explanation:

In the figure attached,

An exponential function has been graphed with certain points marked on it.

To find the average rate of change for this function between the given interval we will use the formula,

Average rate of change = \frac{f(x_2)-f(x_1)}{y_2-y_1}

where f(x_2) = value of the function at x = 4

f(x_1) = value of the function at x = 2

By substituting these values in the formula,

Average rate of change = \frac{16-4}{4-2}

                                        = \frac{12}{2}

                                        = 6

Therefore, Option D will be the answer.

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Prove that 5^7+5^6 is divisible by 6.
pishuonlain [190]

Answer:

The Proof for 5^{7}+5^{6}\ is\ divisible\ by\ 6 is below.

Step-by-step explanation:

To Prove:

5^{7}+5^{6}\ is\ divisible\ by\ 6

Proof:

We know law of indices

a^{m}.a^{n}=a^{m+n}

Therefore,

Step 1: Applying law of indices

\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}

Step 2: Taking common 5^{6} we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})

Step 3: 5^{1} = 5 so add 5 + 1 we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}

Step 4: Cancel 6 from both denominator and numerator we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times 1=5^{6} ...That is Divisible by 6 Proved

7 0
3 years ago
Alfonso mails a package that weighs 9 lb. How many Oz is this package
andrew-mc [135]
9 × 16 = 144 the answer is 144
4 0
3 years ago
A- A counter rotation of 270 around the origin
pochemuha

Answer:

Step-by-step explanation:

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6 0
4 years ago
6. What is the precision of the measurement 48.6 kg?
Lady bird [3.3K]

Answer:

0.1kg

Step-by-step explanation:

the scale that is measuring the weight can only measure to a precision of 0.1kg. if the measurement was 48.65, then the precision is 0.01kg.

7 0
2 years ago
Find the approximate side length of a square game board with an area of 171 in?
Makovka662 [10]

<em>Greetings from Brasil...</em>

According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²

The area of a square is given by the expression:

A = S²

<em>where S is the side of the square - just what we want to know</em>

So:

A = S²

171 = S²

√171 = S

<h3>S ≈ 13.08in</h3>
8 0
4 years ago
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