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Marta_Voda [28]
3 years ago
12

The table below shows the fourth roots of different numbers: Number (x) 16,16,81,81 Fourth root of the number (y) 2 −2 3 −3 Part

A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a truck for x hours is shown below:

f(x) = 25x + 16

What is the value of f(20) and what does f(20) represent? (5 points)
Will mark brainlyest
Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
6 0
Part A) Y cannot be described as a function of x, because in order to be a function, there can only be one input, the x value, for every output, f(x) or the y value. Since the x value, 16, generates two y values, -2 and 2, this cannot be called a function. 

Part B) 
<span>f(x) = 25x + 16
f(20)= 25(20) + 16
f(20) = 500 + 16
f(20) = 516

This is the total cost, in dollars, of renting the truck for 20 hours. </span>
Alla [95]3 years ago
5 0
A: The table does represent y as the table is x as a function for why to the answer to part A is no. X in this case is depending on what y is.

B: f(20)= 25(20)+16

F(20)=500+16
F(20)= 516

The value f(20) let’s you know what you plug in for x.

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3 years ago
A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng
finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

4 0
3 years ago
Jana can spend, at most, $200 on school clothes.
Soloha48 [4]

Answer:

x <= 200

Step-by-step explanation:

Your answer choices are unclear so I cannot specify a letter. The answer is

x<=200.

4 0
3 years ago
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The sum of a number and 17 is no less than 26
Eva8 [605]
I believe it would be as following:

x+7>12

Here, x represents the unknown number. The symbol for no less than is greater than.
5 0
3 years ago
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2. What is the experimental probability of rolling a 4
boyakko [2]

Answer:

1. 40%

2. The theoretical probability is 3% greater than the experimental probability.

Step-by-step explanation:

We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;

(the number of times a 4 was rolled)/(total number of rolls)

8/20 = 0.4

0.4*100 = 40%

The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;

P(HT or TH or TT)

The above events are mutually exclusive, thus;

P(HT or TH or TT) = P(HT) + P(TH) + P( TT)

                               = (22+34+16)/(28+22+34+16)  

                               = 0.72 = 72%

On the other hand, the theoretical probability of obtaining at least one tails,

P(HT or TH or TT) = 3/4

                              = 75%

This is because there is at least one tail in 3 out of 4 possible outcomes.

Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.

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2 years ago
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