Ask question

Ask question

All categories

3 years ago

12

HELP PLEASE TO CONFUING FOR ME

1 answer:

deff fn [24]3 years ago

4 0

Answer:wow this is hard

Step-by-step explanation:

You might be interested in

A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of the state’s citrus crop. It t

inna [77]

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>, while its inverse is: </em> $g^{-1}(c) = \frac{c - 7}{22.9}$ <em>.</em>
<em>The domain is from 0% to 100%, while the range is from 7 to 29.9</em>

<em />

Given that:

$c = g(P)$

<u>Input and Output quantity</u>

The input quantity is the <em>percentage of frozen citrus crop</em>, while the output quantity is the <em>cost of box of oranges</em>

<u>Linear Function</u>

The given parameters can be written as:

$(P_1,c_1) = (20\%, 11.58)$

$(P_2,c_2) = (80\%, 25.32)$

Calculate the slope (m)

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

So, we have:

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

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

$m = 22.9$

The equation is then calculated using:

$c =m(P - p_1) + c_1$

So, we have:

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

$c =22.9P - 4.58 + 11.58$

$c =22.9P +7$

So, the function is:

$g(P) =22.9P +7$

<u>The domain and the range</u>

The domain is the <em>possible input value (i.e. possible values of P).</em>

Because P is a percentage, its possible values are 0% to 100%.

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

The range is the <em>possible output value (i.e. possible values of c).</em>

When P = 0% and 100%

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

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

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

<u>The meaning of </u> $g^{-1}(12)$ <u />

$g^{-1}(12)$ is an inverse equation, where 12 represents the <em>cost of box of oranges.</em>

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

<u>The inverse formula</u>

We have:

$c =22.9P +7$

Make P the subject

$22.9P = c - 7$

Divide by 22.9

$P = \frac{c - 7}{22.9}$

So, the inverse function is:

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

<em>This is used to calculate the percentage of frozen citrus crop, when the cost is known.</em>

<em />

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

Substitute 12 for c

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

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

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

Read more about linear equations at:

brainly.com/question/19770987

4 0

3 years ago

What is 70 percent of 20?

RideAnS [48]

Answer:

14

Step-by-step explanation:

All you need to do is turn 70% into a decimal which is .70

Then multiply .70 and 20

.70*20

which gives you 14

4 0

3 years ago

Read 2 more answers

Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 17% of those hours. Approximately how many hours

Paha777 [63]

55hours times .17 will give you the answer.

Sarah spends 9.35hours on air.

8 0

3 years ago

Jessica bought a 3 liter bottle of cola for her party. She estimates that the guest will drink a total of 22 cups of cola . How

Brut [27]

She will need 7 more cups

4 0

3 years ago

Liu wants to decorate some cakes with shapes.

Ronch [10]

Answer:

15 cakes can be decorated.

Step-by-step explanation:

Given:

Total number of shapes Liu has = 140

Ratio of shape of stars and hearts = 4 : 3

According to the question:

Each cake have 5 stars and 4 hearts.

Let the number of starts be "4x" and number of hearts be "3x" from the ratio.

Now,

⇒ $4x+3x=140$

⇒ $7x=140$

⇒ $x=\frac{140}{7}$

⇒ $x=20$

Number of stars = $4x =4(20) =80$

Number of hearts = $3x=3(20)=60$

Each cake have 5 stars and 4 hearts .

How many cakes can be decorated with 80 stars.

⇒ No.of cakes = Total number of stars / 5

⇒ $C=\frac{80}{5}$

⇒ $C=16$

How many cakes can be decorated with 60 hearts.

⇒ $C=\frac{60}{4}$

⇒ $C=15$

But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.

Liu can decorate 15 cakes and only.

4 0

4 years ago