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grandymaker [24]
2 years ago
8

1 3.1.5 Quiz: Comparing Functions

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Answer:

the statements are not written here .

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Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.
Aleks04 [339]
Let
<span>A------> (−3, −11)
B------>  (6, 4)

step 1
find the slope m point A and point B
m=(y2-y1)/(x2-x1)-----> </span>m=(4+11)/(6+3)----> m=15/9---> 5/3

step 2
with m=5/3 and point B (6, 4)  find the equation of a line
y-y1=m*(x-x1)-----> y-4=(5/3)*(x-6)---> y=(5/3)x-6

case <span>a. they have the same slope------> is not correct
because
</span><span>y=35x−6------> the slope m=35
</span>y=(5/3)x-6---> the slope m =5/3

case <span>b. they have the same x-intercept.----> is not correct
because
</span>the x-intercept is for y=0

y=35x−6-----> 0=35x-6----> 35x=6-----> x=6/35
the x-intercept is the point (6/35,0)

y=(5/3)x-6----> 0=(5/3)x-6----> (5/3)x=6---> x=18/5
the x-intercept is the point (18/5,0)

case <span>c. the two lines are perpendicular. do. they have the same y-intercept-----> is nor correct
because

if two lines are perpendicular
m1*m2=-1-------> </span><span>this condition is not satisfied
</span>
the y intercept is for x=0

y=35x−6-------> y=-6
the y intercept is the point (0,-6)

y=(5/3)x-6-----> y=-6
the y intercept is the point (0,-6)

 they have the same y-intercept but the two lines are not perpendicular

see the attached figure

7 0
3 years ago
Let x=number of cds and y=number of dvds
Elis [28]
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===

x = 30

6 0
3 years ago
Starting at 7:00 a.m., Lin spent a day hiking through a canyon. This graph shows her elevation (in meters) at some different tim
ollegr [7]

Answer:

Sorry for my bad handwriting it's hard write in a computer

Step-by-step explanation:

5 0
2 years ago
Peaches are being sold for 2$ per pound. If x represents the number of pounds of peaches bought and y represents the total cost
ladessa [460]
3x-x+2=4, That should be your answer if that is what your looking for
6 0
3 years ago
Of the eggs produced by salmon,80% hatch, and of those, 25% survive to migrate to the ocean. How many eggs are needed to produce
Marina CMI [18]

Answer:

500 eggs are needed

Step-by-step explanation:

so 1/4 or the 80 percent make it to the ocean so 20 percent of total salmon make it to the ocean.

so total number of eggs x

1/5x=100

x=500

if my answer helps please mark as brainliest.

8 0
2 years ago
Read 2 more answers
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