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laiz [17]
3 years ago
14

Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are d

riving at a constant rate of 50 mi/h. Part A Write the function that models their distance from home as a function of time. f(x) = x + Part B What is a reasonable domain for this situation? ≤ x ≤
Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0
F(x) = 50x + 20
y= 50x + 20
120 = 50(2) + 20
0 <(or equal to) x <(or equal to) 2
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Consider the figure
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Answer:

A)72

Step-by-step explanation:

They have essentially divided up the line 2 different ways, into 2 parts and into 10 parts.  The 2 parts is from 1 and 2 and then the 10 parts is because of the ratio 4-6.  The 2 parts are not equal because one of them is 4 parts of the line and the other is 6, if we put that together we get the 10 equal parts of the line.  A line is equal to 180 degrees meaning that we can divide that my 10 to figure out how much each part is equal to 180/10 is 18 so each of the 10 parts is equal to 18.  We are looking for <1 which it says is equal to 4 parts so we will multiply 4 by 18 to get how much it is. 4 times 18 is 72 so the answer is A

I hope this helps and please don't hesitate to ask if there is anything still unclear!

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2 years ago
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2 years ago
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What is the greatest common factor of 90 and 15
Brilliant_brown [7]
The greatest common factor is the highest number that divides exactly into two or more numbers. 

<span>15: 1, 3, 5, 15 </span>

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Express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.
Marat540 [252]

Answer:

<em>Maximum: (-1,9)</em>

Step-by-step explanation:

<u>Vertex form of the quadratic function</u>

If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

y=a(x-h)^2+k

Where a is the leading coefficient.

We are given the following function:

y =-2x^2-4x+7

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

y =-2(x^2+2x)+7

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

y =-2(x^2+2x+1- 1)+7

Taking out the -1:

y =-2(x^2+2x+1)+2+7

Factoring the trinomial and operating:

y =-2(x+1)^2+9

Comparing with the vertex form we have

Vertex (-1,9)

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Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.

Maximum: (-1,9)

3 0
2 years ago
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