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PtichkaEL [24]
3 years ago
12

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles

every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
Mathematics
1 answer:
Elden [556K]3 years ago
7 0
First the equation needs to be set to "y" to find the total amount of miles traveled:
y=
Then you know he has already gone 3.5, this is a constant and can be added to the graph immediately
y=3.5
Then you know every two hours he can cover 100 miles, which means 50 miles per hour or 50 per x, so add 50x to 3.5 to show that he will go 3.5 miles plus 50 miles for every hour he is traveling.
y=3.5+50x
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Answer:50

Step-by-step explanation: I took the test

5 0
3 years ago
the pathway of sams dive into the swimming pool can be represented by the equation h=-16t²+15t+12 (where t=time in seconds and h
aliya0001 [1]

Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

<h3>What is a Quadratic Equation?</h3>

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

Given the data in the question

  • Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
  • Time t = 2.0 seconds
  • Height h = ?

Now, to get the height after 2 seconds, we substitute 2 for t in the equation.

h = -16t² + 15t + 12.

If t = 2

h = -16(2)² + 15(2) + 12

h = -16(4) + 30 + 12

h = -64 + 30 + 12

h = -64 + 42

h = -22ft

Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

Learn more about quadratic equations here: brainly.com/question/1863222

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5 0
2 years ago
Would you be able to help me with this question I don't really understand
il63 [147K]

Okay, here we have this:

Considering the provided information, we are going to identify wich equation applies, so we obtain the following:

x+19=2x

Where x represents the uknown number. Then finally we obtain that the correct equation is the third one.

Now, let's find the missing number solving the equation:

\begin{gathered} x+19=2x \\ 19=2x-x \\ 19=x \end{gathered}

Finally we obtain that the number is equal to 19.

6 0
1 year ago
The volume of this right prism is 2,500 ft³. What is the height, x, of the prism? x = ft
Natalka [10]

The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

<h3>What is a rectangular prism?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

From the figure:

Volume = 2500 cubic ft

(10)(x)(25) = 2500

250x = 2500

x = 10 ft

Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

Learn more about the rectangular prism here:

brainly.com/question/21308574

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