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aivan3 [116]
2 years ago
5

Calculate the average rate of change for the function

Mathematics
1 answer:
mezya [45]2 years ago
7 0

slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4

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The difference between the square roots of a number is 30. what is the answer?
Sveta_85 [38]
Since 30 is not a square root you would use the closest square roots √25 and √36 which makes your answer 5 and 6
6 0
3 years ago
The diffrence between an integer p and (-5) is 1 find the value of p ​
Nastasia [14]

Solution:

<u>Note that:</u>

  • Given sentence: The difference between an integer p and (-5) is 1.

<u>Let's reread the sentence carefully.</u>

The difference between an integer p and (-5) is 1.

  • => p - (-5) = 1

<u>Change the sign.</u>

  • p - (-5) = 1
  • => p + 5 = 1

<u>Subtract 5 both sides:</u>

  • p + 5 = 1
  • => p + 5 - 5 = 1 - 5
  • => p = -4

4 0
2 years ago
A performer in a circus is fired from a cannon as a ``human cannonball'' and leaves the cannon with a speed of 16.4 m/s. The per
ladessa [460]

Answer:

1195.22N.

Step-by-step explanation:

Mass: m =82.6 kg

Velocity: v= 16.4m/sec.

Distance: d = 9.29 metres.

Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².

Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.

3 0
3 years ago
Three of the choices are ways to express 0.50. Which is NOT?
Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}

\frac{50}{100} means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying \frac{50}{100} we can write,

\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}

\frac{1}{2} means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

\frac{5}{100} = 0.05

Therefore option B is wrong

5 0
3 years ago
Does this graph show a function? Explain how you know.
Lera25 [3.4K]

Answer: D) No. The graph fails the vertical line test.

Explanation:

We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).

So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.

In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.

8 0
3 years ago
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