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andrew-mc [135]

1 year ago

7

Which of the following is NOT an expression?

1 answer:

densk [106]1 year ago

8 0

Answer:

they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B

4x ^ 2

2

- 6 it is not known because it is poorly written.

Step-by-step explanation:

Which of the following is NOT an expression?

A 3x + 1 (expression)

B 4x^2 2- 6 (unknow)

C) 5b (expeession)

<u><em>D) 6y + 1z = 7x - 3w (Equation)</em></u>

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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.

<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

3 years ago

Caroline rolls a fair dice 480 times. How many times would Caroline expect to roll a six?

Gnom [1K]

A fair die has 6 sides so a 1/6 chance for each number
So divide 480/6= 80
80 times for each number, 80 for 6

8 0

3 years ago

The first term of a geometric sequence is −8100 . The common ratio of the sequence is −0.1 .

pychu [463]

Answer:

-8100 x (-0.1)5

Step-by-step explanation:

8 0

2 years ago

Zac is 4 years older than Bethany. The sum of their ages is 46. How old is Zac?

anygoal [31]

Answer:

25

Step-by-step explanation:

4 0

3 years ago

A toy company spends $20 for every doll it makes. Promotion of the dolls costs $400 and the company sells each doll for $30. How

marissa [1.9K]

Since the company spends 20$ on each doll and sells each for 30$ thats a 10$ profit.

If the company spends 400$ on promotion it would take 40 dolls since

400$ / 10$(amount of profit per doll) = 40

so to make the promotion back it would be 40 dolls but the question was to make PROFIT so it must be 41 dolls

6 0

3 years ago

Read 2 more answers