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andreev551 [17]

3 years ago

15

Kim rode her bicycle 135 miles in 9 weeks riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding

the same distance each week. Which statement correctly compares the number of miles per week they rode?
A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

2 answers:

IgorLugansk [536]3 years ago

8 0

The correct answer is @, because Kim rode15 miles per week, and Eric rode 17 per week

tresset_1 [31]3 years ago

5 0

Answer:

The answer is the option A

Eric rode $2$ more miles per week than Kim rode

Step-by-step explanation:

Step 1

Find the number of miles that Kim rode per week

Divide the total miles by the total weeks

so

$\frac{135}{9}\frac{miles}{weeks}= 15\frac{miles}{week}$

Step 2

Find the number of miles that Eric rode per week

Divide the total miles by the total weeks

so

$\frac{102}{6}\frac{miles}{weeks}= 17\frac{miles}{week}$

Step 3

Compare the unit rates

Kim $15\frac{miles}{week}$

Eric $17\frac{miles}{week}$

$17\frac{miles}{week}-15\frac{miles}{week}=2\frac{miles}{week}$

so

Eric rode $2$ more miles per week than Kim rode

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I need the domain range and function. With an explanation

erastovalidia [21]

<h3>Answers:</h3>

Problem 1

Domain = $-3 < x \le 3$ , interval notation (-3, 3]
Range = $-3 \le y < 3$ , interval notation [-3, 3)
Is it a function? Yes

Problem 2

Domain = $x \ge -2$ , interval notation $[-2, \infty)$
Range = All real numbers, interval notation $(-\infty, \infty)$
Is it a function? No

Problem 3

Domain = $-4 \le x < 3$ , interval notation [-4, 3)
Range = $-4 < y \le 3$ , interval notation (-4, 3]
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Problem 4

Domain = All real numbers, interval notation $(-\infty, \infty)$
Range = $y \le 4$ , interval notation $(-\infty, 4]$
Is it a function? Yes

==================================================

Explanations:

The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore $-3 < x \le 3$ which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is $x \ge -2$ which in interval notation is $[-2, \infty)$ . The range is $(-\infty, \infty)$ to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
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3 years ago

Given triangle ABC with coordinates A(−6, 4), B(−6, 1), and C(−8, 0), and its image A′B′C′ with A′(−2, 0), B′(−5, 0), and C′(−6,

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Answer:

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Step-by-step explanation:

The perpendicular bisector of AA' is a line with slope 1 through the midpoint of AA', which is (-4, 2). In point-slope form, the equation is ...

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3 years ago

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Answer:

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Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

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Let's plug in what we know.

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To find b, multiply the slope and the input of x(4)

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Now, subtract 3 from both sides to isolate b.

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Plug this into your standard equation.

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This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

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