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Alexxx [7]
3 years ago
5

Greg was adding two numbers on a number line. He started at +4 and then he added -6. He wrote that his number was -2. Is Gregs a

nswer reasonable?
Mathematics
2 answers:
Klio2033 [76]3 years ago
5 0
Yes. Greg's answer is reasonable.
Softa [21]3 years ago
4 0
Yes it is reasonable hope this helps! :)

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Germany, Italy, and Japan formed the Tripartite Pact in part because they:
SVETLANKA909090 [29]

Answer:

hoped to convince the United States to stay out of World War II

Explanation:

just took the quiz :)

7 0
3 years ago
A right rectangular pyramid is sliced parallel to the base, as shown.
Natali5045456 [20]
#1 15cm^2. ====> Good Luck! <====
6 0
3 years ago
A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
3 years ago
HELP PLEASEEEEEEE<br> 15 - 4x = 2(3x + 1)
bixtya [17]

Answer:

x = 1.3

Step-by-step explanation:

15 - 4x = 2(3x + 1)

15 - 4x = 6x + 2

-2                 -2

--------------------------

13 - 4x = 6x

   +4x      +4x

--------------------------

13 = 10x

/10    /10

---------------------------

1.3 = x

6 0
3 years ago
Read 2 more answers
A rectangle has an area of 12 square feet and a length of 5 feet .what the width
gladu [14]
Area= Length* Width
⇒ 12 ft^2= 5 ft* Width
⇒ Width= 12 ft^2/ 5 ft
⇒ Width= 2.4 ft

The width is 2.4 ft~
6 0
3 years ago
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