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2 years ago

If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)?

1 answer:

6 0

If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)? The answer is No. We cannot. See the explanation below.

<h3>What is the justification for the above position?</h3>

Again, 'No,' is the response to this question. The justification for this is that the value of a function does not depend on the function's limit at a given moment.

This is particularly clear when we consider a question with a gap. A rational function with a hole is an excellent example that will help you answer this question.

The limit of a function at a position where there is a hole in the function will exist, but the value of the function will not.

<h3>What is limit in Math?</h3>

A limit is the result that a function (or sequence) approaches when the input (or index) near some value in mathematics.

Limits are used to set continuity, derivatives, and integrals in calculus and mathematical analysis.

Learn more about limits:
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Can Someone Help Me With This?? :)

kykrilka [37]

Rational) No
Integer) No
Whole) Yes
Natural) Yes
Describe the number:
It’s whole and Natural and it is 5

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4 years ago

Solve F=D+Drt for t.....

Anuta_ua [19.1K]

Answer:

$t = \frac{-D+F}{Dr}$

Step-by-step explanation:

Step 1: Flip the equation.

$Drt + D = F$

Step 2: Subtract D from both sides.

$Drt + D - D = F - D$
$Drt = -D + F$

Step 3: Divide both sides by Dr.

$\frac{Drt}{Dr} = \frac{-D+F}{Dr}$
$t = \frac{-D+F}{Dr}$

6 0

2 years ago

Ethan planted a tree that is 37.5 inches tall.if the tree grows 3 inches each year, how long will it take for the tree to reach

Mila [183]

First find out how many more inches it needs to grow, 54-37.5; It needs to grow 16.5 more inches. If it grows 3 inches a year then you have to do 16.5/3; 5.5. It will take 5.5 or 5 1/2 more years to grow to 54 inches.

5 0

3 years ago

Amanda is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurf

Vilka [71]

Answer:

The number of feet she will travel back is 1 or 7 feet

Step-by-step explanation:

Here, we need to solve the quadratic equation

That will be as follows;

0 = x^2 -8x + 7

x^2-x-7x+ 7 = 0

x(x-1)-7(x-1) = 0

(x-1)(x-7) = 0

x = 1 or 7

The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet

6 0

3 years ago

Can anyone help me out on this not too sure on this

Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

5 0

3 years ago