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zepelin [54]
3 years ago
15

Kelly and Adam are buying boxes filled with candy to give to friends. Kelly chooses a cone-shaped box that has radius x. Adam ch

ooses a box in the shape of a square pyramid, with the same height as Kelly's box and a side length of xπ√. Adam states that the volumes of the two boxes are the same. Kelly disagrees. Which statement is true?
Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Kelly and Adam are buying candy boxes to give to friends

Step-by-step explanation:

Kelly statement is true.

1. Kelly buy a candy box which is cone -shaped with radius x.

2.Adam buy a candy box which is square pyramid shape with same height as Kelly's box but the side length is xπ√.

3.Two candy boxes have different in shape so volumes of the boxes will be different.

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Harry took a loan from the bank.
Pie

Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months  that is given by :

D(t) =-200t+ 9000

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

D(t)=-200(0)+9000

So,D(t) =9000

Hence, the size of Harry's loan is $9000.

6 0
3 years ago
Can the function f(x) = x^2 - 4x + 4 be factored? If so write in factored form.
Mashutka [201]

Answer:

(x-2)(x-2)

Step-by-step explanation:

Find two things you can multiply to equal to 4 and add to equal -4

-2*-2=4 and -2+-2=-4

8 0
2 years ago
Solve x - 3 < -1. Graph the solution.
LuckyWell [14K]

Answer: x < 2

Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.

Since 3 is being subtracted from <em>x</em>, we add 3

to both sides of the inequality to get <em>x < 2</em>.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

3 0
3 years ago
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
exis [7]
The answer is B because they never pass through each other therefore it has infinite possibilities
7 0
2 years ago
Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?
Sedbober [7]

Answer:

(1,1)

Step-by-step explanation:

The choices are not visible, however are unnecessary to solve this problem.

Given y = 3x - 2 and y = -2x + 3

[Set them equal to each other]

3x - 2 = -2x + 3

[Find x]

3x + 2x - 2 = 3

3x + 2x = 5

5x = 5

x = 1

[Plug x = 1 to both equations to check and find y]

y = 3x - 2

y = 3(1) - 2 = 3 - 2 = 1

y = -2x + 3

y = -2(1) + 3 = -2 + 3 = 1

Both are equal to y = 1 when x = 1

The point is then: (1,1)

3 0
3 years ago
Read 2 more answers
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