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MaRussiya [10]
3 years ago
9

Solve and show work.

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0
A) to get the profit to equal to 0
-x^2+6x+432=0
divide all by -1 to get rid of the negative in front
x^2-6x-432=0
factor
(x-24)(x+18)=0
x=21,-18
can’t sell -18 items so the answer is
24 ITEMS

b)maximize the profits meaning the maximum points aka. the VERTEX (where the graph is at its highest)
using x=-b/2a formula
you get x=3
to maximize the profit, they need to sell 3 items
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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
SpyIntel [72]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

3x+8y=55 -----> equation A

x+y=15

x=15-y -----> equation B

Substitute equation B in equation A

3[15-y]+8y=55

45-3y+8y=55

5y=55-45

5y=10

y=2

Find the value of x

x=15-y

x=15-2=13

therefore

<u>the answer is</u>

the number of multiple choice question are 13

the number of free response question are 2

5 0
3 years ago
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What is another name for &lt;1?
Oksanka [162]

Option A:

The another name for ∠1 is ∠JLK.

Solution:

How to Label Angles :

There are two main ways to label angles:

1. Give the angle name by a number or a lower case letters.

2. The second way to name the angle is indicating by the vertex.

Usually the angle is denoted by three letters.

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To find the another name for ∠1.

The arms of the angle are LJ and LK and the vertex is L.

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8 0
3 years ago
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Gelneren [198K]

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7 0
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Pepsi [2]

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14  

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation :  4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

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:)

4 0
2 years ago
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Llana [10]
The answer is 7 i think
3 0
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