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mart [117]
3 years ago
10

HELPP!! Select the correct answer. What is the left-hand limit of as x approaches 4?

Mathematics
2 answers:
Mariulka [41]3 years ago
7 0

\displaystyle\\\lim_{x\to4^-}\dfrac{|x-4|}{x-4}=\lim_{x\to4^-}\dfrac{-(x-4)}{x-4}=\lim_{x\to4^-}-1=-1

wolverine [178]3 years ago
3 0

Answer:

-1

Step-by-step explanation:

|x-4|=x-4 when x-4 is positive or zero.

|x-4|=-(x-4) when x-4 is negative or zero.

x-4 is positive or zero means:

x-4>=0

Add 4 on both sides gives:

x>=4

x-4 is negative or zero means:

x-4<=0

Add 4 on both sides gives:

x<=4

Now we are approaching values of 4 from the left which means these values are less than 4 which makes x-4 negative.

So we are using:

|x-4|=-(x-4) when x-4 is negative or zero.

As x approaches 4 from left we have:

|x-4|/(x-4)=-(x-4)/(x-4)=-1.

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The distance from the library to the park is your point 7 km how many meters is this
sattari [20]

Answer:

7000 meters

Step-by-step explanation:

We know that 1 km = 1000 meters

7 km * 1000m/km = 7000 meters

5 0
2 years ago
{3x=7y=5<br> {5x-2y=-19
Anton [14]

Answer:

(-3, 2)

Step-by-step explanation:

{3x=7y=5

{5x-2y=-19

solve....

maybe it was  3x + 7y = 5

and  5x - 2y = -19

2*(3x + 7y = 5)

7*(5x - 2y = -19)

-------------

6x + 14y = 10

35x -14y = -133

41x = -123

x = -3

y = ...

5*(-3) - 2y = -19

-15 - 2y = -19

2y = 4

y = 2

(-3, 2)

7 0
2 years ago
If f(x)=3x-1 and g(x)=x+2,find (f-g)(x)
oksian1 [2.3K]

Answer:

\large\boxed{(f-g)(x)=2x-3}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\f(x)=3x-1,\ g(x)=x+2\\\\\text{substitute:}\\\\(f-g)(x)=(3x-1)-(x+2)\\\\=3x-1-x-2\qquad\text{combine like terms}\\\\=(3x-x)+(-1-2)\\\\=2x-3

7 0
3 years ago
Find the student’s error in solving the following inequality.
Leto [7]

Answer:

The student should have switched the direction of the inequality sign to

get –5 > x for a final answer.

Step-by-step explanation:

When multiplying or dividing an inequality by a negative "flip" the inequality sign

The student should have switched the direction of the inequality sign to

get –5 > x for a final answer.

---------------

Note:

For a more conventional appearance the entire inequality can be flipped to

–5 < x

6 0
2 years ago
I need help ! ASAP !
svetoff [14.1K]

Answer:

288

Step-by-step explanation:

There are 8 fluid ounces in a cup so that would equate to

8 x 36 = 288

288 fluid ounces a minute

7 0
2 years ago
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