Which expression is equivalent to −2+4(3x−1) ? A.6x B.12x−3 C.14x D.−6+12x

Juan is buying flowers for his mother. He has $18 to spend and sees that roses are $3 each and carnations are $1.50 each. He wan

Irina18 [472]

Answer:

he would have 30

Step-by-step explanation:

7 0

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

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.

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

Given that:

$c = g(P)$

Input and Output quantity

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

Linear Function

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:

$g(P) =22.9P +7$

The domain and the range

The domain is the possible input value (i.e. possible values of P).

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 possible output value (i.e. possible values of c).

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: $[7,29.9]$

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

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

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

The inverse formula

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:

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

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

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

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

Urgent please help with finding rate of change

boyakko [2]

When working with functions (of all types), the average rate of change is expressed using function notation:

$\dfrac{f(b)-f(a)}{b-a}.$

For the interval from x=7 to x=8,

1. find f(7) and f(8):

$f(7)=729\cdot 3=2187;$
$f(8)=2187\cdot 3=6561;$

2. use given formula:

$\dfrac{f(8)-f(7)}{8-7}=\dfrac{6561-2187}{8-7}=4374.$

Answer: the average rate of change for the interval from x=7 to x=8 is 4374.

5 0

3 years ago

ben brought two pizza to a party . he says that since 1/4 of each pizza left,the same amount of each pizza is left. What is his

bearhunter [10]

Since the 1/4 of each pizza left :

Which means that :
Pizza 1 = 1/4 pizza Left
Pizza 2 = 1/4 pizza Left

i think there is no error in what's ben saying

7 0

3 years ago

Simplify the expression: -18/2+ 9 x 6 A.)63 B.)63 C.)45 D.)45

Liula [17]

Answer: =9x^6−9

Step-by-step explanation:

Let's simplify step-by-step.

−18/2+9x^6

=−9+9x^6

6 0

3 years ago

Which expression is equivalent to −2+4(3x−1) ?A.6x B.12x−3 C.14x D.−6+12x