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tiny-mole [99]
3 years ago
5

Two trucks leave a factory at the same time. One travels east at 60 mph, and the other travels west at 30mph. In how many hours

will they be 150 miles apart ?
Mathematics
1 answer:
devlian [24]3 years ago
8 0
What are the choices
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Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the
hodyreva [135]

The function representing the height is y = 36 - \frac{3}{4} x.

<h3>What is function?</h3>

A formula, rule, or legislation that specifies how one variable (the independent variable) and another variable are related (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

<h3>What is fraction?</h3>

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given that,

Height of rails h is 36in.

The rate of decrement is 9 inches for every 12 horizontal inches,

We represent the rate (r) as a fraction.

r = -\frac{9}{12} (negative, because it decreases),

r = -\frac{3}{4},

So, the function is

Y = h + r × x

Where,

X is distance from top

So, y = 36 -\frac{3}{4}x

To know more about function, visit:

brainly.com/question/14418346

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4 0
1 year ago
I don’t know how to do this one. could someone help
DedPeter [7]

Answer:

If it is being dilated from (0,0) the answer is below.  

Step-by-step explanation:

It depends on where it is scaled from.  If you choose a point directly to that points left it will be pushed tot he right, and vice versa if it is on its right.    Same for above and below

I am going to assume we are dilating from (0,0), but again, if there is another part of the question saying where it's from use this method for that as well.

So, from (0,0) the initial point is (-3, 11)  Scaling by a factor of 3 means it gets pushes AWAY so it is 3 times as far away.  (If it were a fraction or decimal it would be getting pulled closer)

Using (0,0) as the dilation point is the easiest because we just have to ask how far are the x and y coordinates away from (0,0) and any number is THAT number away from 0.  

We break this into the two coordinates too.  so how far is -3 from 0?  -3.  so we want a point 3 times as far away, so what is that?  -9.  Same for 11, 11 is 11 away from 0 so we want it 3 times as far, which is 33.

Now that we have the two coordinates  that is the answer.  

(-9, 33)

6 0
3 years ago
What is the answer to X - 14 =66
Gekata [30.6K]

Answer: x=80

Step-by-step explanation: You add 14 to both sides of the equation. The left side of the equation cancels out leaving you with 80

8 0
3 years ago
Read 2 more answers
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
s344n2d4d5 [400]
{k^2 + 2k + 1 = 25, k^2 + 2k + 1 = 64}
{k^2 + 2k - 24 = 0, k^2 + 2k - 63 = 0}
{(k - 4)(k + 6) = 0, (k - 7)(k + 9) = 0}
{k = -6, 4, -9, 7)
Therefore, range = {-9, -6, 4, 7)
3 0
3 years ago
Original price: ?<br><br> Percent of discount: 25%<br><br> Sale price: $45
My name is Ann [436]

Answer:

Original price is 11.25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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