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-BARSIC- [3]
2 years ago
8

Please answer my question

Mathematics
1 answer:
katrin [286]2 years ago
4 0

Graph 1:

(-infinity, 2) U [3, infinity)

Graph 2:

{-8, -2} U (3, 8]

Graph 3:

(-infinity, 3) U (3, infinity)

Graph 4:

(-8, -2) or {3}

Graph 5:

(-8, -2) U (-2, infinity)

Hope this helps!

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Tony gets paid $5 per hour to babysit his cousin. This
Kaylis [27]

<em>Answer:</em>

a

<em>Step-by-step explanation:</em>

lets substitute 5 into every equation. (using 5 every time won't work every time ofc)

ok so 5(x+6)=55 would simplify into <em>5x+30=55</em> which in this case would be <em>5(5)+30=55 </em>

and 25 plus 30 (obviously) = 55

so A is the right answer

8 0
2 years ago
A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t
solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

  • <em>The linear equation of the function is: </em>g(P) = 22.9P+7<em>.</em>
  • <em>The inverse function is: </em>g^{-1}(c) = \frac{1}{22.9}(c - 7)<em> .</em>
  • <em>A practical domain is from 0% to 100%</em>
  • <em>A practical range is from 7 to 29.9 </em>

<u>A. Input quantity</u>

The input quantity is the percentage of frozen citrus crop

<u />

<u>B. Output quantity </u>

The output quantity is the cost of box of oranges

<u>C. The linear function</u>

We have:

(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)

<em>Calculate the slope of the function</em>

m = \frac{c_2 - c_1}{P_2 - P_1}

m = \frac{25.32 - 11.58}{80\%-20\%}

m = \frac{13.74}{60\%}

m = 22.9

<em>The linear equation is calculated as follows:</em>

c -c_1 = m(P-P_1)

c -11.58= 22.9(P-20\%)

c-11.58 = 22.9P-4.58

<u>D. Rewrite as y = mx + b</u>

We have:

c-11.58 = 22.9P-4.58

Collect like terms

c = 22.9P - 4.58 + 11.58

c = 22.9P+7

<em>The function is:</em>

g(P) = 22.9P+7

<u>E. A practical domain</u>

The domain is the possible values of P.  Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: [0\%,100\%]

<u>F. A practical range</u>

When P = 0%

c = 22.9 \times 0\% + 7 = 7

When P = 100%

c = 22.9 \times 100\% + 7 = 29.9

Hence, the range of the function is: [7,29.9]

G. The meaning of g^{-1}(12)

The inverse function of g(P) is g^{-1}(P)

So:

g^{-1}(12) is the percentage of frozen citrus crop, when the cost is $12.

<u>H. The inverse formula</u>

We have:

c = 22.9P+7

Subtract 7 from both sides

c - 7 = 22.9P

Make P the subject

P = \frac{1}{22.9}(c - 7)

So, the inverse formula is:

g^{-1}(c) = \frac{1}{22.9}(c - 7)

Substitute 12 for c

g^{-1}(12) = \frac{1}{22.9}(12 - 7)

g^{-1}(12) = \frac{1}{22.9} \times 5

g^{-1}(12) = 22\%

Read more about linear equations at:

brainly.com/question/19770987

6 0
2 years ago
What is the decimal equivalent of 9 over 12
Marrrta [24]

Answer:

0.75

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the exact distance from (8, 5) to (−1, 3)? (Round to the nearest tenth)
alexira [117]

Answer:

About 9.2 units

Step-by-step explanation:

[8-(-1)^2]+[(5-3)^2]

81+4

sqrt(85)

9.2

Brainliest appreciated :)

4 0
2 years ago
Read 2 more answers
Convert the following into fractions in their simplest form
sladkih [1.3K]

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... =  2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

3 0
2 years ago
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