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grandymaker [24]
2 years ago
5

Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles

Nathan can travel in x hours?
Mathematics
1 answer:
PolarNik [594]2 years ago
4 0

Answer:

See attachment for graph

Step-by-step explanation:

Given

1\ hr = 10\ miles

Required

The graph that shows the number of miles in x hours

We have:

1\ hr = 10\ miles

Multiply both sides by x

x * 1hr = 10miles * x

xhr=10x\ miles

So, the function is:

f(x) =10x

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Louise skip counts by 4 on a number line to find 5 x 4. How many jumps should she draw on the number line?
PIT_PIT [208]
It is 5 since u need to jump 5 times 4,8,12,16,20=5 times 4
6 0
2 years ago
Tại sao nói thuế suất là yếu tố trọng tâm của các yếu tố cơ bản của luật thuế?
sesenic [268]

Answer:

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Step-by-step explanation:

6 0
2 years ago
a tap can fill a bucket in 2 minutes, another in 3 minutes. If both are turned on how long does it take to fill the bucket?
Rama09 [41]

Answer:

It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.

Step-by-step explanation:

  1. One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
  2. Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
  3. Both together fill 1/2+1/3=5/6 of the bucket in one minute.
  4. If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
  5. They can fill the bucket (6/6) in 1+1/5 minute
  6. This is 1 minute 12 seconds
6 0
3 years ago
Which of the following equals 3x2−10x−83x2-10x-8 when factored completely? 
xeze [42]
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4 0
3 years ago
The initial cost of an office fax machine is $100. After 1 year, its value becomes $80. Which is the correct linear depreciation
Elis [28]

Answer:

y=100-20x

Step-by-step explanation:

Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).

We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).

Now we can find the slope of the line passing through those two points using the slope formula

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

Replacing values:

m=\frac{80-100}{1-0}

m=-20

Now, to complete our model we are using the point slope formula

y-y_1=m(x-x_1)

where

m is the slope

(x_1,y_1) are the coordinates of the first point

Replacing values:

y-100=-20(x-0)

y-100=-20x

y=-20x+100

y=100-20x

We can conclude that the correct linear depreciation model is y=100-20x

7 0
2 years ago
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