Aprofit formula for dining plates can be modeled by the function p(d) = –15d2 + 1,200d – 2,000. the manufacturer is thinking of increasing the selling price by 50%, which can be modeled by the function l(d) = 1.5d. which composite function can be used to find the new profit formula after the price increase? p(d) = –7.5d2 + 600d – 2,000 p(d) = –3.75d2 + 600d – 2,000 p(d) = –22.5d2 + 1,800d – 2,000 p(d) = –33.75d2 + 1,800d – 2,000

Last option

Step-by-step explanation:

The new formula of profit is given by the composition of the functions and

To find the new formula we must find

. To do this we must introduce the function l(d) inside the function .

Then if and then:

The answer is the last option

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: