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velikii [3]
2 years ago
11

09.04 Continuity at a point Find the indicated limit, if it exists. (2 points)

Mathematics
1 answer:
LenKa [72]2 years ago
6 0

Answer:

6

Step-by-step explanation:

limit is defined when the limit from both side are defined and equal to f

x-> -10^-, limit f(x)=-4-(-10)=6

f(-10)=6

x-> -10^+, limit f(x)=(-10)+16=6

Then

x->-10, limit f(x)=6

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A car gets 27 mile per gallon of gas. How far will it go on 12 gallons?​
olga55 [171]

Answer:

324

Step-by-step explanation:

4 0
3 years ago
The graph of the equation y=|x+5| is shifted 2 units up and 6 units to the right. Rewrite the equation of the new graph for the
DerKrebs [107]

Answer:

Step-by-step explanation:

To move the graph 6 units to the right, subtract 6 in the absolute value.

y=|x+5-6|

To move it up, add 2 outside the absolute value.

y=|x+5-6|+2

Now remove the absolute values since x>1.

y=x+5-6+2

y=x+1

4 0
3 years ago
What equation is parallel to the line 3x+y=5
Alex_Xolod [135]

Answer:

Any equation with the slope -3 and a y intercept that does not equal 5

Step-by-step explanation:

a line is parallel if the line have the same slope, and different y intercepts

3x+y=5  

in slope intercept form is

y=-3x+5

slope : -3

y intercept 5

3 0
3 years ago
A local farm sells strawberries and blueberries. The ratio of the number of strawberries to blueberries it sells at 5:3. If it s
olganol [36]

Answer:

125

Step-by-step explanation:

The ratio is 5:3 so we divide the 75 by 3 to get 1 part

1 part = 75

75 x 5 = 125

125 strawberries were sold :)

3 0
2 years ago
Determine whether each of the following functions is even, odd, or neither even nor odd.
Illusion [34]

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

5 0
3 years ago
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