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AveGali [126]
3 years ago
5

Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5x minus 8 when x is less than 0 a

nd f of x equals absolute value -4 minus x when x is greater than or equal to 0
Mathematics
1 answer:
vlabodo [156]3 years ago
4 0
The limit does not exist. Why? Because the left hand limit DOES NOT equal the right hand limit. Let’s double check:

We could use -0.000001 to represent the left hand limit. This is less than 0. We plug in 5x - 8

5(-0.000001) - 8
-0.000005 - 8
-8.000005
If we would continue the limit (extend the zeros to infinity), we would get exactly
-8
That is our left hand limit.

Our right hand limit will be represented by 0.000001. This is greater than 0. We plug in abs(-4 - x)

abs(-4 - (0.000001))
abs(-4.000001)
4.000001
If we would continue the limit (extend the zeros to infinity), we would get exactly
4

4 does not equal -8, therefore

The limit does not exist
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Which coordnates represent a point on the graph of 3y = 5x - 13?
Elena L [17]
(x,y)
sub given points and see if true

A, (0,-13)
x=0
y=-13
3(-13)=5(0)-13
-39=0-13
-39=-13
false (other user was just guessing)

B. (3,1)
x=3,
y=1
3(1)=5(3)-13
3=15-13
3=2
false

C. (7,7)
x=7
y=7
3(7)=5(7)-13
21=35-13
21=22
false

D. (-6,-1)
3(-1)=5(-6)-13
-3=-30-13
-3=-43
false

answer is none of them

3 0
3 years ago
Hi what is the answer for this?
saw5 [17]
This is a common factor problem.

Pencils come in a pack of 12
Erasers come in a pack of 10

First, break the number into their prime factors(the idea is that we will break the number down into its smallest multiples, which are prime numbers):
10 = 2 * 5
12 = 2 * 2 *3

So now we take the unique multiples of each number, and when we multiply them together, we will get the smallest number that both 10 and 12 can be divided into(this is what the problem is asking for)
We have (2*2*3) that comes from 12, and the only unique number that comes from the 10 is (5)
So now, we multiply:
2*2*3*5=60
However, this isn't exactly out answer. Now we have to divide our answer by the number of each this in the pack to know how many packs to buy.
60/12=5 packs of pencils
60/10= 6 packs of erasers

I hope this helps. Let me know if you have any questions!!
5 0
3 years ago
Read 2 more answers
A science experiment calls for a mixture of 400 mL of liquid A, 2.5 L of liquid B, 650 mL of liquid C, and 1 L of liquid D. Whic
IceJOKER [234]

Answer:

5L.

Step-by-step explanation:

This is because there are 1000 mL in an L so .4 + 2.5 + .65 + 1 = 4.55 which is then rounded up to 5L.

5 0
4 years ago
I need help on understanding this concept
Sedbober [7]
So the slope formula is m= (y2-y1) /
(x2-x1). You can label -2 as x1 and 11 as y1. And the other point is x2 and y2. They you just plug it in the m= (y2-y1) /
(x2-x1) formula and solve. To get a better understanding look up, how to find the slope of a line with two points. Hope it helps
3 0
3 years ago
What is the area of the irregular figure below?
andrey2020 [161]

Answer:

B, 48 inches

Step-by-step explanation:

First calculate the area of the parallelogram: 4 x 6

4 x 6 = 24

Then calculate the area of the triangle: 4 x 6

4 x 6 = 24

Then you add the two areas: (4 x 6) x 2 or 24 x 2

24 x 2 = 48

Therefore, your answer is B, 48 inches

8 0
3 years ago
Read 2 more answers
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