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julia-pushkina [17]
3 years ago
7

Select all the correct answers.

Mathematics
2 answers:
vlabodo [156]3 years ago
7 0
Car load and insurance premium
tamaranim1 [39]3 years ago
7 0

Answer:

-fuel cost

-groceries

Step-by-step explanation:

Variable expense: Amount of money paid on this expense changes every month

Non-discretionary: This is an expense that you cannot get by without

In today's world, you need fuel for your car in order to travel to your job and other places, therefore it is non-discretionary. The amount you spend on fuel changes every month because you do not travel the same exact distance every month, so it is also a variable expense.

You need groceries to live, therefore it is non-discretionary. The amount you spend on groceries changes every month as well, so it is also a variable expense.

You can eliminate the other options because:

Car loan payment = fixed expense (not non-discretionary)

Gym membership = fixed expense and also discretionary (you can live without it)

Insurance premium = fixed expense

Vacation cost = discretionary

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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
Elana runs for 28 seconds and finishes at 250 meters .what is her velocity
Sophie [7]

Answer:

8.9m/s

Step-by-step explanation:

Time= 28s

Displacement= 250m

Velocity=?

Velocity (v) = displacement (d)/ Time (t)

V= 250/28

V=8.9m/s

OR YOU CAN APPROXIMATE IT

V=8.928

YOU CAN APPROXIMATE IT TO

V=8.93m/s

3 0
3 years ago
Select two ratios that are equivalent to 7:6
shtirl [24]

Two ratios that are equal to 7:6 are 14:12 and 21:18, as they are the same, but 7 and 6 are multiplied by the same number (2 in the first, and 3 in the second.)

4 0
3 years ago
Differentiate 2sin(5x-3)
anygoal [31]
f(x)=2\sin(5x-3)\\&#10;f'(x)=2\cos(5x-3)\cdot5=10\cos(5x-3)
3 0
3 years ago
Probability:
Makovka662 [10]

Answer: 30

Explanation:

There are 2 types of cones and 15 types of flavors. So there are 2*15 = 30 different combos of one-scoop ice cream orders.

3 0
3 years ago
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