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nataly862011 [7]
3 years ago
9

Michael’s favorite cereal is Cinnamon Toast Crunch. His mom buys him a big box for a special treat, and he wants to figure out e

xactly how much cereal is in the box. The box has a volume of 384 cubic inches. The height is 12 inches and the length is 8 inches. What is the width?​
Mathematics
1 answer:
Sauron [17]3 years ago
3 0

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _<u>4_</u> = 384

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1)The table below represents a linear function f(x) and the equation represents a function g(x):
irga5000 [103]
<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):

 x     y
-1  -11
 0   -1
 1    9


g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx =  [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

x  y
1  0
1 -1
2  1
2 -2

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points)

No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.

Part B: The function f(x) shown below represents the number of baskets Jess made at different distances, x, in meters, from the hoop:

f(x) = -x + 6

Calculate and interpret the meaning of f(4). (4 points)

f(4) = - 4 + 6 = 2

It means that Jess made 2 baskets at the distant of 4 meters.

Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p         output, f(p)

6                       -6 + 6 = 0

So the ordered pair is (6,0)
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6 0
3 years ago
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Find the minimum or maximum value of the function g(x)=−4x^2+16x−15
lara31 [8.8K]

Answer:

(-2, -31)

Extra Letters.

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2 years ago
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Suppose that b and c are points on the number line . if bc = 10 and b lies at 3 , where could c be located?
katrin [286]
C would be located around 3.3

Bc=10 meaning b x c= 10
B lies at 3
(Opposite of time is division as you probably already know) so 10/3 is 3.3

(I’m sorry if this wrong but hope it is not and you understand it)
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2 years ago
Help me please !! thank you!
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This what got , hope it helps

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Find values of X and Y
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Answer:

X = 114 and Y = 66

Step-by-step explanation:

since you want to make the quad a parallelogram, it means there would be 2 sets of parallel lines in the shape and opposite angles would be the same, thus angle X would mirror its opposite angle, 116, and angle Y would mirror 66.

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