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1 year ago

7. What are the x- and y-intercepts for -x + 2y = 8?

Mathematics

1 answer:

Nataly_w [17]1 year ago

4 0

Answer:

the answer

Step-by-step explanation:

the answer is A

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Choose the expression that could be used to solve this problem.davin spent $8.40 for gasoline. he saw gas priced at $1.40/gal an

alex41 [277]

$1.40 • y = $8.40 I hope that helps

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3 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.

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

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3 years ago

Use right triangle ABC. The figure is for reference only and is not drawn to scale. In a 30-60-90 triangle, the shorter leg had

miss Akunina [59]

Answer:

In a 30 60 90 triangle, the longer leg = shorter leg * square root (3)

longer leg = 8 * square root (3) = 8 * 1.7320508076

= 13.8564064606

Step-by-step explanation:

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3 years ago

Y=x-3 what is my answer

ale4655 [162]

Answer:

x = 3 or y = -3

Step-by-step explanation:

To find x, substitute y with a 0.

0=x-3. Minus the x on both sides and x will equal 3

To find y, substitute x with a 0.

y=0-3. 0-3 equals -3 which means that y will equal -3

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3 years ago

At the market you can buy 6 bags of apples for $25. At the orchard you can get 8 bags of apples for $35. Which is the better dea

ryzh [129]

Answer:

8 bags at the orchard

Step-by-step explanation:

6/25 = .24

8/35 = .22

3 0

3 years ago

Read 2 more answers