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maw [93]
3 years ago
8

What does inversely proportional mean​

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0
If one value is inversely proportional to another then it is written using the proportionality symbol in a different way. Inverse proportion occurs when one value increases and the other decreases. For example, more workers on a job would reduce the time to complete the task. They are inversely proportional.
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Identify the coordinates of the vertex of f(x) = 3x2 + 12x − 8, and identify whether it is an absolute minimum or absolute maxim
DaniilM [7]

The vertex of f(x) = 3x^2 + 12x − 8 is (2,28) absolute minimum

<h3>How to determine the vertex?</h3>

The equation is given as:

f(x) = 3x^2 + 12x − 8

Differentiate the function

f'(x) = 6x + 12

Set to 0

6x + 12 = 0


Divide through by 6

x + 2 = 0

Solve for x

x = -2

Substitute x = -2 in f(x) = 3x^2 + 12x − 8

f(2) = 3 *2^2 + 12 *2 − 8

Evaluate

f(2) = 28

This means that the vertex is (2,28)

A quadratic function is represented as:

f(x) =ax^2 + bx + c

When a is positive, then the vertex of the function is an absolute minimum.

This means that f(x) = 3x^2 + 12x − 8 has an absolute minimum vertex because 3 is positive


Read more about quadratic functions at:

brainly.com/question/18797214

#SPJ1

7 0
1 year ago
If I have 1200 dollars and it is 30 percent of my income. What is my income
12345 [234]
Your\ income =  \frac{1200}{30\%} =  \frac{1200}{0.3}  = 4000\$\ \ Answer
8 0
3 years ago
What is 4x=8 proof reason
Yuki888 [10]

Answer:

x=2

Step-by-step explanation:

4x=8

/4   /4

divide both sides by 4

x=2

3 0
3 years ago
Read 2 more answers
Instructions: Find the missing side of the triangle.<br> 25<br> 20<br> х<br> X =
Tatiana [17]

Answer:

x = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 20² = 25²

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x = \sqrt{225} = 15

3 0
2 years ago
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and th
uranmaximum [27]

Answer:

a) 0.7063; b) 0.0228; c) 0.2709

Step-by-step explanation:

We use z scores for these problems.  The formula for a z sore is

z=\frac{X-\mu}{\sigma}

For part a,

We want P(5 ≤ X ≤ 11):

z = (5-9.6)/2.3 = -4.6/2.3 = -2

z = (11-9.6)/2.3 = 1.4/2.3 = 0.61

The area under the curve to the left of z = -2 is 0.0228.  The area under the curve to the left of z = 0.61 is 0.7291.  This makes the area between them

0.7291 - 0.0228 = 0.7063

For part b,

We want P(X ≤ 5):

z = (5-9.6)/2.3 = -4.6/2.3 = -2

The area under the curve to the left of z = -2 is 0.0228.

For part c,

We want P(X > 11):

z = (11-9.6)/2.3 = 1.4/2.3 = 0.61

The area under the curve to the left of z = 0.61 is 0.7291.  However, we want the area to the right; this means we subtract from 1:

1-0.7291 = 0.2709

3 0
3 years ago
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