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3 years ago

Determine if each relation is a function. Explain your reasoning.

Mathematics

1 answer:

cupoosta [38]3 years ago

5 0

Answer:

The first picture is a function while the second one is not.

Step-by-step explanation:

Reason - first picture passed the vertical line test, the other didn't.

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3. A line goes through the points (3,4) and (-3,6).

Galina-37 [17]

Answer:

Part a) The slope is $m=-\frac{1}{3}$

Part b) The equation in point slope form is $y-4=-\frac{1}{3}(x-3)$

Part c) The equation in slope-intercept form is $y=-\frac{1}{3}x+5$

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given points

$m=\frac{6-4}{-3-3}$

$m=\frac{2}{-6}$

$m=-\frac{1}{3}$

Part b) Write the equation of the line in point-slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$point\ (3,4)$

substitute

$y-4=-\frac{1}{3}(x-3)$ ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

$y=mx+b$

we have

$y-4=-\frac{1}{3}(x-3)$

Isolate the variable y

distribute right side

$y-4=-\frac{1}{3}x+1$

Adds 4 both sides

$y=-\frac{1}{3}x+1+4$

$y=-\frac{1}{3}x+5$ ---> equation in slope intercept form

7 0

3 years ago

David & Brad are competing in a 20-mile bicycle race. David rides 6.2 miles in 1/4 hour. Brad rides 11.9 miles in 1/2 hour.

Elodia [21]

David will finish first, because if you divide Brad's miles by 2 to his miles in a 1/4 of an hour are 5.95 miles. This means David went 6.2 miles in the same time that Brad went 5.95. Therefore, David will finish first.

6 0

3 years ago

Please help! Which is not equal to the others?

Fudgin [204]

The answer would be C.
Sin2 cot2=sin2*cos2/sin2=cos2
Which is not equal to the others.
Hope this helps:)

5 0

3 years ago

Read 2 more answers

Write an algebraic expression for each word phrase.

11Alexandr11 [23.1K]

Answer:

63/h - 3.14

Step-by-step explanation:

Quotient means divide.

So the answer to the division is a quotient. 63/h is the quotient of the division.

Less means subtract so the subtraction that is taking place is

63/h - 3.14 and that's your answer.

Often with these questions, you start backwards as in this question.

6 0

3 years ago

I have 3 sets of some unknown amount of apples and 2 oranges m. I have a total of 15 pieces of fruit, how many apples do I have?

insens350 [35]

I think it's 5? but I'm not sure

3 0

3 years ago