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artcher [175]
4 years ago
10

Determine whether the given limit leads to a determinate or indeterminate form. HINT [See Example 2.]

Mathematics
1 answer:
Musya8 [376]4 years ago
8 0

Answer:

The limit leads to a determinate form.

\lim_{x \to \infty} \frac{2}{-x+3} = 0

Step-by-step explanation:

The following are indeterminate forms.

\frac{0}{0} \ and \ \frac{\infty}{\infty}

Given the limit of a function \lim_{x \to \infty} \frac{2}{-x+3}, to show if the given limit is determinate or indeterminate form, we will need to substitute the value of -\infty into the function as shown,

\lim_{x \to \infty} \frac{2}{-x+3}\\= \frac{2}{-(-\infty)+3}\\= \frac{2}{\infty+3}\\=  \frac{2}{\infty}\\\\Generally, \ \frac{a}{\infty} =0

where a is any constant, therefore \frac{2}{\infty} = 0

Since we are able to get a finite value i.e 0, this shows that the limit does exist and leads to a determinate form

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Help me please find x for this triangle!!!!
Ne4ueva [31]

Answer:

x=30

Step-by-step explanation:

Since the measure of an exterior angle is equal to the sum of any two angles in a triangle, the equation would be 4x-18=2x+6+36. Solve this, and we get x=30.

Hope this helped!

5 0
3 years ago
Leo had $91, which is 7 times as much money as Alison had. How much
NARA [144]

Answer:

7x=91

$13.

Step-by-step explanation:

Let x represent money that Alison has.

We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be 7x.

We are also told that Leo had $91, so we will equate 7x with 91 and solve for x as:

7x=91

To solve for x, we will divide both sides by 7:

\frac{7x}{7}=\frac{91}{7}

x=13

Therefore, Alison has $13.

8 0
3 years ago
Read 2 more answers
What is a correct name for the angle shown?
LekaFEV [45]

Answer:

S

Step-by-step explanation:

the angle itself is s therefore the correct answer is angle s, otherwise it would be rst going left to right, but that is not an option.

7 0
2 years ago
Read 2 more answers
Nina graphs the function y = ⌊x⌋ to learn the properties of the parent floor function. What is the value of y when x =5.7?
Nikolay [14]

Answer:

5

Step-by-step explanation:

When you given input of "x" into a floor function  y = ⌊x⌋ , it gives as output the "greatest integer less than or equal to x"

For example, if we were to given 1.4 as the input for floor function, it will return the greatest integer that is less than or equal to 1.4, so it would be 1.

<u>So, if we put 5.7 into this function, the floor function would give "5" as the output.</u>

<u>Thus value of y would be 5</u>

6 0
3 years ago
Solve the quadratic equation by the square root property.<br><br> (2x + 5)2 = 49
Sergio [31]

This is all if you don't solve as a quadratic equation.

Look at the other answer.

Answer:

<em><u>x = 9.75</u></em>

Step-by-step explanation:

Step 1. Distribute the 2(Do 2 times 2x and 2 tiems 5)

4x + 10 = 49

Step 2. Subtract 10 from both sides.

4x = 39

Step 3. Divide it all by 4 to isolate the variable.

x = 9.75

8 0
3 years ago
Read 2 more answers
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