Carrie is considering three different types of materials for her chairs. depending on the price she sets for each chair, the costs and revenues for each type of material will generate different costs and revenues for her business.

in the functions, x is the price of each chair. the functions give the revenue (r) and costs (c) that carrie’s business can expect in a year at a given price for the item. select the correct answer

material 1
r(x) = 200,000x - 2,000x2
c(x) = 5,000,000 - 20,000x

material 2
r(x) = 160,000x - 1,000x2
c(x) = 4,000,000 - 10,000x

material 3
r(x) = 54,000x - 270x2
c(x) = 2,000,000 - 5,000x

the highest profit is
a. 500,000
b. 2,055,000
c. 3,225,000
d. 4,125,000

which material can deliver the highest profit
a. material 1
b. material 2
c. material 3

material profit for the widest range of prices.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

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°

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?