What is Limit of (x cubed + 3 x squared minus 5) as x approaches negative 2?
–25
–15
–9
–1

Answers

Answer 1

Answer:

–1

Step-by-step explanation:

We want to find the following limit:

[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5[/tex]

Since the function does not have any discontinuity(point in which the denominator is 0, for example), we just replace the values of x by -2. So

[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5 = (-2)^3 + 3(-2)^2 - 5 = -8 + 12 - 5 = -13 + 12 = -1[/tex]

The value of the limit is -1.

Answer 2

Answer:

Step-by-step explanation:

D. -1


Related Questions

Jan has $28 to spend at the carnival.
The admission is $6.50, she spends $4.00 on food, and each ride costs $3.00.
At most, how many rides can Jan ride?

Answers

Answer:

5 rides.

Step-by-step explanation:

$28 - $6.50 = $21.50

$21.50 - $4 = $17.5

$17.5 ÷ $3 = 5.83

first you would have to subtract 6.50 from 28, which would get you 21.50. Next, since jan spends $4.00 on food, we subtract 4 from 21.50, giving us 17.50.

Since each ride costs $3, we divide 17.50 & 3, getting us 5.83333.

This means that she can ride at max 5 rides.

solve these plz
10 points for these plz solve

Answers

2.180
3.360
4.12
That’s it hopefully you got them right

A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help

Answers

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

Which triangle isn't similar to QRS?

Answers

Answer:

∆ RPQ

Step-by-step explanation:

__________________

write the equation for the circle graphed below.

Answers

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Find the length of side c.
c=_in

Answers

Answer:

c=9.534

Step-by-step explanation:

A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles and 3 green marbles. What is the probability that the selected marble is green.
A.3
D.1/9
B.1/2
C.1/3

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Formula: Correct result / Total possible results

Plug it in: 3/9

Simplify: 1/3

Correct answer is C: 1/3

Why do you think these agencies failed to protect the people that had their money
stolen by Bernie Madoff?|

Answers

Lawmakers didn’t pass laws giving enforcement agencies sufficient enforcement powers.

Which of the following expressions is equivalent to 3(22 + 54). Thank you for those who help me

Answers

Answer:

3×22+3×54

as there's bracket, so c is the answer

Answer:

C

Step-by-step explanation:

Select the correct answer.
Which statement is true about this function for all values of x < 4?

The function is positive.

The function is increasing.

The function is decreasing.

The function is negative.

Answers

Answer:

The function is decreasing

Step-by-step explanation:

For all values of x<4, the function is decreasing. Because the restricted domain would be (-∞,4), then x increases as y, or f(x), decreases.

It would be nice if somebody could help me! (I'm trying to give out points!)

Answers

Answer:

chupapi muyanyo

Step-by-step explanation:

Answer:

3) A) 8 tomatoes are in Priya's garden

B) 18 since they are missing 2 tomatoes

4) I cant really answer with the information given.

Step-by-step explanation:

I need more information for number 4

I need the answer fast pls

Answers

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

If 4% of a number is 8, find 1% of that number.

Answers

Answer:

8 is 4% of 200, 1% of 200 is 2

Pls help me!!!in this question I will give u points ​

Answers

1. shade 2 squares
2. shade 3 squares
3. shade 4 squares
4.shade 4 squares
5.shade 5 squares
6.shade 6 squares
7.shade 7 squares
8. shade 8 squares -> 8/24 squares = 1/3
youre welcome!

: At a Pokemon award ceremony there are three types of medals to be awarded: Leader, Champion, and Ranger. There are 48 awardees present in total, including 19 Leader medal winners, 27 Champion medal winners, and 25 Ranger medal winners. For any two types of medals, the number of people who won these two medals is the same. There are 4 people who won all three medals. How many people won exactly two medals

Answers

Answer:

The correct answer is "[tex]a+b+c=15[/tex]".

Step-by-step explanation:

The figure according to the given question is attached below.

Given that,

Number of people,

p = 4

Let the suitable notations are:

a, b, c, x, y, z and p

where,

Only leader M = x

Only champion M = y

Only range M = z

Exactly two medals = a+b+c

All three medals = p

The equations will be:

[tex]x+a+b+p=19[/tex]...(1)

[tex]y+a+c+p=27[/tex]...(2)

[tex]z+b+c+p=25[/tex]...(3)

[tex]x+y+z+a+b+c+p=48[/tex]...(4)

Now,

From equation (1), (2) and (3), we get

[tex]x+y+z+2(a+b+c)+3p=71[/tex]

[tex]x+y+z+2(a+b+c)=71-12[/tex]

[tex]x+y+z+2(a+b+c)=59[/tex]...(5)

By applying subtraction between equation (5) and (4), we get

[tex]a+b+c-p=59-48[/tex]

[tex]a+b+c=4+11[/tex]

[tex]a+b+c=15[/tex]

Which pair of expressions below are equivalent (the same)?

a) 4(3b) and 7b
b) 4b + 5b and 20b
c)-5(2b + 2) and 20b
d) 3b + b + 2b and 6b

Please help it’s really important

Answers

D is equivalent expression.

monica is standing in a building looking out a window at a tree the tree is 121 feet away from monica monica line of sight to the top of the tree creates a 42 degree angle of depression. what is the height of the tree rounded to the nearest tenth

Answers

Answer:

89.9 feets

Step-by-step explanation:

The diagrammatic representation of the problem is attached below.

The height, h of the tree can be calculated using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 42 = h / 121

0.7431448 = h / 121

Height, h of tree = 121 * 0.7431448

Height = 89.9 feets

The Caudell family went out to dinner. If
their dinner bill came to $52.50 and they
paid $61.95, what percent of a tip did they
leave their waiter?

A. 18%
B. 15%
C. 20%
D. 16.5%

Answers

they left a 16.5% tip

|3t – 9| = 3 Step by step

Answers

Answer:

t = {4, 2}

Step-by-step explanation:

|3t-9| = 3

Split into two parts,

3t-9 = 3, and -(3t-9) = 3

Solve

t-3 = 1, and -(t-3) = 1

t = 4, and -t+3 = 1

t = 4, and t=2

1: 16cm3 = ___________mm3
2: 85000dm3 = _____m3
3:4 L= _____cL
4: 5000 mL= _____ L
5: 25000mm3 = ______cm3

Sorry about the cm3 the number 3 should be up on cm but my phone doesn't have that future.

THANKS FOR THE ANSWER! ​
its MEASUREMENT!

Answers

10mm in 1cm so 16cm is 160mm
1dm is 0.1m so 85000dm is 8500m
1l is 100 cl so 4l is 400cl
1000ml in 1l so 5000ml is 5l
25000mm is 2500cm

Lines A and B are parallel
A
1/2
3/125°
B
5/6
7/8
m 6 = [ ?] ​

Answers

Answer:   55

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

The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.

Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.

x+125 = 180

x = 180-125

x = 55

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

Or you could approach it this way:

y = measure of angle 2

y+125 = 180

y = 55

angle 6 = angle 2 (corresponding angles)

angle 6 = 55 degrees

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

Yet another way you could solve:

z = measure of angle 3

z+125 = 180

z = 55

angle 6 = angle 3 (alternate interior angles)

angle 6 = 55 degrees

A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55

Make a box-and-whisker plot for the data:
36, 39, 39, 41, 43, 49, 61, 64

a. smallest value 36
b. Quartile 1: 39
c. Median: 42
d. Quartile 2: 55
e. greatest value: 64

Answers

Answer: See the diagram below

The five number summary you wrote out is correct.

The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).

The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.

The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16

Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.

The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.

I used GeoGebra to create the box-and-whisker plot.

Answer:

The data and 5-number summary is given.

Based on the 5 numbers we have the attached box-and-whisker plot.

Which number represents 4%?

Answers

Answer:

0.04 or 4/100

Step-by-step explanation:

Think of a percentage as a very lazily written fraction. 4% = 4/100

Just convert the fraction to a decimal.

---

hope it helps

4/100 represents 4%. Hope it helps!

Calculate the surface area of this dollhouse—minus windows, doors, and the floor.

Answers

Answer:

Step-by-step explanation:You can doly/3fcEdSxwnload the ans[tex]^{}[/tex]wer here. Link below!

bit.[tex]^{}[/tex]

PLEASEEEEEE HELLPPPPP MEEEEE

Answers

Answer:

It's A

Step-by-step explanation:

The r coordinate of x is positive 4 which would be the frist number.

The r coordinate of y is positive 1 which would be the second number.

If 1=3
2=3
3=5
4=4
5=4, then 6=?

Answers

Answer:

six equal to eight?????

If John starts with $85 and is spending $5 per week and Ashley has $35 and is saving $7 per week when will Ashley have more than John

Answers

Answer:

85-5=80 week 1

75= week 2

70=week 3

65=week 4

60=week 5

and so on.

Then Ashley

35+7=42 week 1

49=week 2

56=week 3

63= week 4

70=week 5

Step-by-step explanation:

Determine the smallest integer value of x in the solution of the following inequality.

-3x+10≤5

Answers

Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: [tex]-3x+10\leq5[/tex]

To solve the inequality, we first subtract 10 from both sides

[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]

Multiply negative sign on both sides ,we get

[tex]3x\geq5[/tex]

Divide both sides by 3, we get

[tex]x\geq\frac{5}{3}[/tex]

i.e. [tex]x\geq 1.6666666667\\[/tex]

[tex]x\geq1[/tex]

Hence, the smallest integer value of x in the solution is 1.

Patient A receives 3 times the amount of certain medicine as Patient B. The two doses add to 200 milligrams. What amount of the medicine does each patient receive?

Answers

Patient A - 150 mg
Patient B - 50 mg
I hope this helps :)

Length is 5 units and width is 8 units . What is the perimeter

Answers

Answer:

26 units all around

Step-by-step explanation:

when finding the perimeter use the formula

2(length) + 2(width)

in this case

length is 8

width is 5

5(2) = 10

8(2) = 16

10 + 16 = 26

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