7th-grade question
..............

The limit of the given function is 1/2

Given the following limit of a function

lim x→0 √(x²+4)-2/x²​

Substitute the limit to have:

√(0²+4)-2/0²​

√4 - 2/0

2-2/0

0/0 (ind)

Apply the L'hospital rule to have;

lim x→0 d/dx√(x²+4)-2/(d/dx)x²​

lim x→0 (x²+4)^-1/2 * 2x/2x

lim x→0 (x²+4x)^-1/2

Substitute

(4)^-1/2

1/2

Hence the limit of the given function is 1/2

Learn more on limit of a function here; https://brainly.com/question/23935467

#SPJ1

Answer:

23/2 equals 11.5

Step-by-step explanation:

Answer:

23 divided by two is 11.5

Step-by-step explanation:

=================================================

Explanation:

Sort the values from smallest to largest.

You should get {22, 53, 60, 98, 102}

The middle most value is 60, so this is the median.

If you wanted, you can cross off the outermost pair of values (22 and 102) to end up with {53, 60, 98} to help see the middle better.

----------

Another approach:

We have n = 5 items in the sorted set {22, 53, 60, 98, 102}

The middle-most value is in slot 3 since n/2 = 5/2 = 2.5 which rounds up to 3. The value in slot 3 is 60, so this is the median. This trick only works when we have an odd number of values.

Answer: the median is 60

Step-by-step explanation: It is 60 because in order to find the mean you have to put all the numbers in order from least to greatest.

22,53,60,98,102.

after doing this you have to see how many quantity of data will pair up and the one that is left in the middle is the median. In other words you have 5 data sets in this example, 22 and 102 will be a pair and so will 53 and 98 which would leave 60 in the middle with no pair hence 60 would be the median

Answer:

Option C

Step-by-step explanation:

According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).

This means that the point would be the solution to the system of equations.

Hope this helps.  

Answer:

Percentage Gain = 12.5%

Step-by-step explanation:

Given

[tex]Cost\ Prize = 9.60[/tex] per dozen

[tex]Selling\ Price = 18[/tex] per 20

Required

Determine the percentage gain or loss

First, we have to calculate the unit cost price and the unit selling price.

If a dozen costs 9.60

Then 1 costs

[tex]Cost = 9.60/12[/tex]

[tex]Cost = 0.80[/tex]

If he sells 20 for 18

Then he sells 1 for:

[tex]Sell = 18/20[/tex]

[tex]Sell = 0.9[/tex]

The percentage change is then calculated as:

[tex]\%Change = \frac{Sell - Cost}{Cost} * 100\%[/tex]

[tex]\%Change = \frac{0.9 - 0.8}{0.8} * 100\%[/tex]

[tex]\%Change = \frac{0.1}{0.8} * 100\%[/tex]

[tex]\%Change = \frac{0.1 * 100\%}{0.8}[/tex]

[tex]\%Change = \frac{10\%}{0.8}[/tex]

[tex]\%Change = 12.5\%[/tex]

Because the percentage change is positive, then he made a gain.

Hence:

Percentage Gain = 12.5%

Answer:

take another picture

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps!

Answer:

x>8

Step-by-step explanation:

4+3x>24

-4      -4

3x > 24

/3     /3

x > 8

Answer:

8x - 20

Step-by-step explanation:

P.S Can I have brainliest?

Step-by-step explanation:

=4(2x-5)

=8x-20

hope it helps.

Answer:

B) x = 0

Step-by-step explanation:

To find the solution value that satisfies the inequality x – 6 ≥ –7, you must plug every x value into the x and see which one works.

Plug -5 into x

-5 – 6 ≥ –7

Combine like terms

-11 ≥ –7

This is false, -11 is not greater than or equal to -7.

Plug 0 into x

0 – 6 ≥ –7

Combine like terms

– 6 ≥ –7

This is true, -6 is greater than -7.

Plug -2 into x.

-2 – 6 ≥ –7

Combine like terms

-8 ≥ –7

This is false, -8 is not greater than or equal to -7.

Plug -7 into x.

-7 – 6 ≥ –7

Combine like terms

-13 ≥ –7

This is false, -13 is not greater than or equal to -7.

B) x = 0 is the only solution that is true and works, so that is your answer.

Have a lovely rest of your day! :)

Answer:

Step-by-step explanation:

Vicky  jogged 4 1/2 miles or 9/2 miles  or 4.5 miles

7/8 of 60 min=(7*60)/8=(7*15)/2= 52.50 min

4.5 miles....................52.50 min

? miles.......................60 min

vicky will have a rate of 5.14 miles/hour

Answer:

9 x 9 x 9 x 9

Step-by-step explanation:

9^4 is a shorter and similar way of writing 9 x 9 x 9 x 9

Answer:

25

Step-by-step explanation:

but i.d.k

Answer:

b. -4

Step-by-step explanation:

Every time one x value increases the y value decreases by 4. In the x values shown the number that should come after -4 is -3 so the y values -2 and -2 that are 8 units apart should be halved and be -4. This function maintains a constant rate of change throughout the function.

Answer:

-1/3 I think

Step-by-step explanation:

use the slope formula

Answer: The purple coupon is the best deal.

Explanation: If an apple pie is $12, with the orange coupon, you will only pay $7. On the other hand, with the purple coupon, you will only pay $6.60. So the purple coupon is the best deal.

Dale should use the $15 dollars off coupon to save the most money which costs 47.00.

25% off of 47.00 is 45.49.

$15 off of 47.00 is 32.00.

The $15 off coupon makes the DVD player cost less, so he should use that one.

Answer:

I think these triangles cannot be proven congruent

Answer:

the absolute maximum is 3 because it's the highest point on the graph

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Yes, you'd be a millionaire in less than a month.

Answer:

2 hours

Step-by-step explanation:

220/5=44 miles an hour

88/44=2

2 hours

The solution is 2 hours

Total time it will take Montraie to travel a distance of 88 miles is 2 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total time for Montraie to drive 88 miles be = A

The distance traveled by Montraie be D

The value of D = 220 miles

The time taken by Montraie to travel 220 miles is T = 5 hours

Now , the speed of Montraie S = distance traveled by Montraie / time taken by Montraie

Substituting the values in the equation , we get

The speed of Montraie S = 220 / 5

The speed of Montraie S = 44 miles per hour

Now , the distance traveled by Montraie = 88 miles

So , the time taken by Montraie to travel 88 miles = distance traveled by Montraie / speed of Montraie S

Substituting the values in the equation , we get

The time taken by Montraie to travel 88 miles = 88 / 44

The time taken by Montraie to travel 88 miles A = 2 hours

Therefore , the value of A is 2 hours

Hence , The total time it will take Montraie to travel 88 miles is 2 hours

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ2

Answer:

25-1/2=

Step-by-step explanation:

The triangle ABC drawing, which has vertices at A (1,6), B (1,1), and C (5,1) is shown below.

A triangle is the most basic form for a polygon with three sides and three vertices. Triangles are divided into various groups using their sides and angles. The triangle's total angle is always equal to 180 degrees, which is an interesting triangle fact (straight angle).

It is common knowledge that a triangle is a type of polygon with three edges and three vertices.

A, B, and C are frequently used to denote its vertices, making it one of the most important shapes in geometry.

A (1,6), B (1,1), and C (5,1) will be picked as the points. 〖〖AB〗^2+ 〖BC〗^2= AC〗^2

Hence, the image of the triangle ABC's design, which has vertices at A (1,6), B (1,1), and C (5,1) is linked above.

To learn more about triangle, visit:

brainly.com/question/28600396

#SPJ9

Answer:

y = 130

x = 50

Step-by-step explanation:

y = 130 corresponding angles of parallel lines are congruent

x = 50 supplementary angles of a straight line add to 180

Answer:

y=130

x=50

Step-by-step explanation:

hope it helps