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yawa3891 [41]
2 years ago
10

Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Mathematics
2 answers:
Paraphin [41]2 years ago
8 0
The correct answer in -4
Novosadov [1.4K]2 years ago
4 0
Just so u know, ur output value is f(x) and ur input value is x

f(x) = -2x^2 - 3x + 5....when ur input value(x) is -3

f(-3) = -2(-3^2) - 3(-3) + 5 =
f(-3) = -2(9) + 9 + 5
f(-3) = -18 + 14
f(-3) = -4 <==
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A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of
muminat

Answer:

When 6 helicopters are produced weekly, the company's profit is <u>14 thousand dollars.</u>

Step-by-step explanation:

As per the given statement:

The company profit (in thousands of dollars), as a function of the number of helicopters produced per week can be modeled by a  function.

The function that models the scenario is:

f(h) = -2(h-4)^2 +22                       ......[1]

where

f(h) represents the company's profit

h represents the number of helicopters produced per week.

It is also given that when 1 helicopter is produced per week, the company’s profit is 4 thousand dollars.

Maximum profit for company 22 thousand dollars, occurs when 4 helicopters are produced per week

⇒f(1) = 4 and f(4) = 22

we have to find when 6 helicopters are produced weekly, the company profit is;

⇒  h = 6 helicopters

Substitute this value in [1] to solve for f(6);

f(6) = -2(6-4)^2 +22

=-2(2)^2 +22 = -2 \times 4 + 22 = -8 + 22 = 14

Therefore, the company profit is, 14 thousand dollars.


4 0
2 years ago
Read 3 more answers
A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the sam
goldenfox [79]

Answer:

1,267,200

Step-by-step explanation:

Given that the map reported that the scale is 1 inch to 20 miles.

Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200

Therefore, the scale of 1 inch to 20 miles can also be represented as 1 to 1,267,200

4 0
2 years ago
Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy. A carton o
Lemur [1.5K]

Given :

A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.

To Find :

What was her first error.

Solution :

Her first error is to find Unit price of egg in each carton.

To find, unit price we should divide total amount by number of units :

Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .

Hence, this is the required solution.

4 0
2 years ago
A scuba diver used the expression below to describe his position in relation to sea level.2 + (negative 20) + 8Which statement c
Sloan [31]

Answer:

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Using the 2 + (-20) + 8 to describe movement relative to sea level ;

2 can be taken as the starting point, positive values represents elevation above sea level ;

2 can be taken as 2 feet platform above sea level ;

- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)

(-20 + 2) = - 18

8 feets means a final elevation of 8 above sea level (positive value).

7 0
2 years ago
The parent cosecant function is shifted 4 units right and 3 units up. Which of the following is the graph of the transformed fun
snow_lady [41]
We have that

 using a graph tool--------------> graph the <span> cosecant function
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the answer is the option B

4 0
2 years ago
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