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max2010maxim [7]
3 years ago
7

Which function has a greater y-intercept?

Mathematics
1 answer:
erica [24]3 years ago
8 0
To find the y-intercept of h(r), plug in 0 for r, and solve:

h(r) = -\frac{3}{2} r - 5

h(r) = -\frac{3}{2} × 0 - 5    <em>(plug in 0 for r and solve)</em>
= h(r) = -5

So the y-intercept for h(r)  is: -5
-------------------------------------------------------------------------------------------------------------

For p(r), the y-intercept is when x = 0.
From looking at the table, we see that when x=0,   p(r) = -5

So the y-intercept of p(r) = -5
-------------------------------------------------------------------------------------------------------------

ANSWER:

The y-intercept of h(r) and p(r) are both equal to -5, therefore the y-intercepts are the same.

So the answer would be:

c) The functions have the same y-intercept.

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3 years ago
Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)
arlik [135]

Answer:

y = \frac{4}{3} x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x ← is in slope- intercept form

with slope m = - \frac{3}{4} , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{3}{4} } = \frac{4}{3} , then

y = \frac{4}{3} x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = \frac{4}{3} x - 12 ← equation of perpendicular line

4 0
2 years ago
What does 12(6-k) equal​
gregori [183]

\text{Hey there!}

\rightarrow\text{What does 12(6 - k) equal?}

\text{Well, the formula is: a(b + c) = a(b) + a(c) = ab + ac}

\bf{12( 6 - k) = 12(6) - 12(k)= \underline{72 -12k}}

\boxed{\boxed{\text{\bf{Thus, your answer is: 72 - 12k}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

8 0
3 years ago
The sets of numbers 7, 24, 25 and 9, 40, 41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain
salantis [7]

Answer:

25^2=625

24^2= 576

7^2= 49

as 625 = 576+49 so 7,24,25 form a Pythagorean triplet

similarly

9,40,41 also is a Pythagorean triplet

8 0
3 years ago
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svlad2 [7]
<span>First option is correct

Both methods are correct, since you are counting all possible arrangements of 5 items taken 5 at a time.</span>
3 0
3 years ago
Read 2 more answers
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