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Radda [10]
3 years ago
13

A pool table supply company is making a cardboard box to package new cubes of pool cue chalk. Each cube of chalk is 1 cubic inch

. The company considers all the ways to arrange 16 cubes of the chalk.
• 16 inches by 1 inch by 1 inch
• 8 inches by 2 inches by 1 inch
• 4 inches by 4 inches by 1 inch
• 4 inches by 2 inches by 2 inches

1. Which arrangement of chalk would require the most cardboard for the box? How do you know?
2.Which arrangement of chalk would require the least cardboard for the box? How do you know?
Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

a

Step-by-step explanation:

they all require the same amount of card board because if you take all of the numbers times eachother they all come out as 16 Take a bottle arranged with tubes, as in the middle one shown in the figure on page 87.

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Fill in the rest of the table.
Vinvika [58]

9514 1404 393

Answer:

top-down

  f(g(x)) = 1, 4, 5, 3, 2

  g(f(x)) = 5, 2, 4, 1, 3

Step-by-step explanation:

To find f(g(x)), locate g(x) in the third column (labeled g(x)). Use that value as x in the first column, then read f(x) from the second column.

Example: f(g(1)) = f(2) = 1

__

To find g(f(x)), locate f(x) in the second column (labeled f(x)). Use that value as x in the first column, and read the corresponding g(x) from the third column.

Example: g(f(1)) = g(2) = 5

6 0
3 years ago
Write the equation in slope intercept form with a slope of 3/4 and passes through (-4,-5)
attashe74 [19]

Answer:Use the slope −2 and the point (−4,−5) to find the y-intercept.

y=mx+b

⇒−5=(−2×−4)+b

⇒−5=8+b

⇒b=−13

Write the equation in slope intercept form as:

y=mx+b

⇒y=(−2)x−13

Hence, the equation of the line is y=−2x−13.

Step-by-step explanation:

Please make me brainliest :)

7 0
3 years ago
Consider the function below. f(x)= x^3 + 2x^2 - x - 2 plot the x and y intercepts of the function
dimulka [17.4K]

In the Figure below is shown the graph of this function. We have the following function:

f(x)=x^3+2x^2-x-2

The y-intercept occurs when x=0, so:

f(0)=(0)^3+2(0)^2-(0)-2=-2

Therefore, the y-intercept is the given by the point:

\boxed{(0,-2)}

From the figure we have three x-intercepts:

\boxed{P_{1}(-2,0)} \\ \boxed{P_{2}(-1,0)} \\ \boxed{P_{3}(1,0)}

So, the x-intercepts occur when y=0. Thus, proving this:

f(x)=x^3+2x^2-x-2 \\ \\ For \ P_{1}:\\ If \ x=-2, \ y=(-2)^3+2(-2)^2-(-2)-2=0 \\ \\ For \ P_{2}:\\ If \ x=-1, \ y=(-1)^3+2(-1)^2-(-1)-2=0 \\ \\ For \ P_{3}:\\ If \ x=1, \ y=(1)^3+2(1)^2-(1)-2=0

7 0
3 years ago
Read 2 more answers
What two numbers multiply to -49 and add to +6
Zina [86]
I don’t think there is a number that does both of those, the factors of 49 are 1, 7, and 49
4 0
3 years ago
Which of the following values would complete the ordered pair if the point is on the graph of f (x) = -3x + 2 ?
Scrat [10]

Answer: the y-coordinate that completes the point is 5.


Explanation:


An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.


The output value is y = f(x) and must be found applying the rule (function) to the given input value.


In this case the rulte is f(x) = - 3x + 2, and the input value, x,  is - 1 (the first value of the ordered pair).


This is the mathematical procedure:

  • x = - 1
  • f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
5 0
3 years ago
Read 2 more answers
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