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3 years ago

33x-8(3x+9)>-9 what is the answer

1 answer:

6 0

Expand -8(3x+9). Then 33x - 24x - 72 > -9

Combining the x terms and then the constant terms,

9x > 63. Dividing both sides by 9, x > 7 (answer)

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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.

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

A. Input quantity

The input quantity is the percentage of frozen citrus crop

B. Output quantity

The output quantity is the cost of box of oranges

C. The linear function

We have:

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

Calculate the slope of the function

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

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

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

$m = 22.9$

The linear equation is calculated as follows:

$c -c_1 = m(P-P_1)$

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

$c-11.58 = 22.9P-4.58$

D. Rewrite as y = mx + b

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

The function is:

$g(P) = 22.9P+7$

E. A practical domain

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: $[0\%,100\%]$

F. A practical range

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.

H. The inverse formula

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

3 years ago

Can someone help me with the question in the image. if correct i will mark as brainliest

Alex777 [14]

Answer:

$Multiply~the~length~of~the~leg~by~\sqrt{2}~to~arrive~at~the~length$ $of~the~hypotenuse = 6.$

Step-by-step explanation:

$To~find~the~length~of~the~ hypotenuse,~we~multiply~the~length~of~the~leg$ $by~\sqrt{2}:$

$3\sqrt{2} *\sqrt{2}=3*2=6$

$So~your~answer~to~this~question~is~option"b"$

$Hope~this~helps!$

7 0

3 years ago

Please can someone help me?

Feliz [49]

Answer:

weight of a water=0.5

spherical ball is filled With water=0.95.

so dear for

22\7*0.5*0.95=1.49

7 0

3 years ago

Can you please help me?

larisa [96]

Replace the words with what you know
(Original cost)(6%)=5.25
(Original cost)(0.06)=5.25
(original cost)=5.25/0.06=87.5

6 0

3 years ago

Read 2 more answers

5. Marie buys 2 pounds of turkey and 1 pounds of ham. She pays a total of $20,

NARA [144]

Answer:Let t = cost per pound of turkey

Let h = cost per pound of ham

4t + 2h = 30

t = h - 1.5

substitute h-1.5 in place of t in 1st equation

4(h-1.5) + 2h = 30

4h - 6 + 2h = 30

6h - 6 = 30

6h = 36

h = 6

t = h-1.5 = 4.5

1 pound of turkey costs $4.50

1 pound of ham costs $6.00

----------

cost of 1 pound each $10.50

Step-by-step explanation:

8 0

2 years ago