Evaluate lim
[tex] \frac{3 {x}^{2} + 5x - 1 }{4 {x}^{3} + 2x + 6 } [/tex]

Answers

Answer 1

Answer:

[tex]\lim_{x \to 0} =-\frac{1}{6}[/tex]

Step-by-step explanation:

The first step in evaluating a limit should be to plug in the number to see if you get a result

When you plug in 0 to all of the x's in the expression, you are left with the constants -1 on the top and 6 on the bottom of the fraction.

So there's no need to go any further, the limit as x approaches 0 is [tex]-\frac{1}{6}[/tex]

Answer 2

Answer:

-1/6

Step-by-step explanation:

To find the limit as x approaches 0 we can just plug in 0

for the numerator: 3*0+5*0-1 = -1

For the denominator: 4*0+2*0+6= 6

answer is just -1/6 or -.16666666666666666666667


Related Questions

1+1=1268934457687423456779052436869867543?

Answers

Answer:

2

Step-by-step explanation:1+1=2 its 2 okay its 2 not 1268934457687423456779052436869867543

I’m no mathematician, but, I’m pretty sure it’s 2, and not 1268934457687423456779052436869867543.

explain why guard cells have thicker inner walls and thinner outer walls​

Answers

The inner walls of the guard cells are thick to facilitate the opening of stomatal pore during transpiration. When water enters, outer walls expand which cause the inner walls to draw out causing opening of stomata.

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

A.
56 miles

B.
54 miles

C.
36 miles

D.
24 miles

Answers

Answer:

B 2/3

Step-by-step explanation:

:)

First you want to make the equations for finding the total price of each rental car. We will say that x is the number of days and y is the number of miles. We will say the price for the first company is A = 34x + 0.50y and the second company is B = 20x + 0.75y. We want to find y where 34x+0.5y = 20x+0.75y and x=1. You should get 56 miles

5x-4<4(1+x) what is the answer and how do you do it

Answers

Answer:

Step-by-step explanation:

5x-4<4(1+x)

5x-4<4+4x

5x-4x<4+4

x<8

is this a supplementary angle or a complementary angle or neither?? number 1

Answers

Answer:

its neither

Step-by-step explanation:

supplementary means the angles would equal 180° and complementary means the Angel's would equal 90°

in this case the angles equal to neither.

Answer:

1.neither

as there sum =56+142=198°

3.supplementary

sum =57+123=180°

plssss help

use multiplication to solve the proportion​

Answers

Answer:

Its 7.333333333333333333  (3 forever)

First you isolate y onto one side of the equation

y/9= 44/54  -->  y = 9 x 44/54

Multiply the right side of the equation

9 x 44/54 = 396/54

Now divide to get the whole answer

396/54 = 7.3333333333 (3 forever)

y = 7.333333

Convert the following angle from degrees to radians. Express your answer in simplest
form.
375°

Answers

Answer:

25 π /12  radians

Step-by-step explanation:

To convert degrees to radians, multiply by  π /180 , since a full circle is  

360  or  2 π  radians.

Cancel the common factor of  15  

Factor  15  out of  375

15 (25).  π/ 180  radians

Factor  

15  out of  180  

15.  25 ⋅ π/ 15 ⋅ 12  radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12  radians

Rewrite the expression.

25 ⋅ π/ 12  radians

Combine  

25  and   π /12  

25 π /12  radians

A full set of adult teeth has 160% as many teeth as a full set of baby teeth. How many teeth are there in a full set of adult teeth if there are 20 teeth in a full set of baby teeth

Answers

Answer:

The adult has 32 teeth

Step-by-step explanation:

20*.1.60=32

Answer:

32

Step-by-step explanation:

100% - 20   60% (20x0.60) 12 20+12 32

PLZ HELP ME
find measure of arc STU
39
219
135
141

Answers

Answer:

Step-by-step explanation:

141

8÷2(2+2) This is 16 not 1

Answers

Step-by-step explanation:

8÷2(2+2) = 8.

2(2 + 2)

= 8.

4 + 4

= 8.

8

= 1

Answer:

using BODMAS

The answer is 1

Step-by-step explanation:

Bracket Order Division Multiplication Addition and Subtraction

Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22

Answers

Answer:

10.7

Step-by-step explanation:

To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.

Write an expression for the perimeter of the square. SIMPLIFY your answer​

Answers

Answer:

P=16x-20

Step-by-step explanation:

The perimeter of a square can be found by adding up all the sides, and since it is a square we know that all the sides are the same. So we get P=4(4x-5), then we distribute the 4, and are left with the equation P=16x-20.

By how much would the quantity of labor demanded decrease if a minimum wage hike raised prevailing wages from $8 to $10 an hour and if the elasticity of labor demand were 0.40?

Answers

Answer:

it would decrease by 10%

Step-by-step explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price  

percentage change in price = ($10 - $8) / $8 = 0.25 x 100 = 25%

0.4 =  percentage change in quantity demanded / 25%

percentage change in quantity demanded = 25% x 0.4 = 10%

3
Sarah earns 6 hours of computer time when she completes all her homework for the week.
Next year, her computer time will be raised by 40%. What is the new total amount of time
Sarah can earn next year when she completes all of her homework for the week?
A. 3 hours and 36 minutes
B. 6 hours and 9 minutes
OC. 8 hours and 24 minutes
D. 8 hours and 40 minutes

Answers

Answer:

i think its c too i mean it looks like you picked c too

Step-by-step explanation:

lol

The velocity of a roller coaster as it moves down a hill is v=√v²+64h. where v is the initial velocity and h is the vertical drop in feet. the designer wants the coaster to have a velocity of 200 feet per second when it reaches the bottom of the hill. if the initial velocity of the coaster is 30 feet per second, how high should the designer make the hill?

Answers

Answer: So required height is 124.22feets.

Step-by-step explanation:

Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?

Answers

Answer:

mmmm

Step-by-step explanation:

PLS HELP WILL GIVE BRAIN THINGY

Answers

Answer:

Teachers are tough

Step-by-step explanation:

your welcome i hope you do good in ur test! :)

It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *

Answers

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles

Melanie invested $3800 in an account paying in interest rate of 2 3/8% compounded quarterly Sebastian invested $3800 in an account paying in interest rate of 2 3/4% compounded monthly after 16 years how much more money with Sebastian have in his account then Melanie to the nearest dollar

Answers

Answer:

$317

Step-by-step explanation:

Formula for compound interest is;

A = P(1 + (r/n))^(nt)

For melanie;

P = $3800

r = 2⅜% = 0.02375

n = 12/4 = 3

t = 16 years

Thus;

A = 3800(1 + (0.02375/3))^(3 × 16))

A ≈ $5548

For Sébastien;

P = $3800

r = 2¾% = 0.0275

n = 12

t = 16

Thus;

A = 3800(1 + (0.0275/12))^(12 × 16))

A ≈ 5865

Difference between Sébastien and Melanie's final amount = $5865 - $5548 = $317

2. Three states of matter exist - solid, liquid, and gas. Which of the following are the common properties of liquid?
А It has no definite shape or volume
В. It has definite shape and no definite volume,
С. It has a definite shape and has definite volume
D It has a definite volume but take the shape of the container

Answers

Answer:

I am gonna say D for this one

Answer:

A

Step-by-step explanation:

water has yet to be formed. its molecules move around like crazy so it stays a liquid.

$6,000 was invested at a simple interest rate. In 15 years, the
account was worth $9,600. What was the interest rate? Show all your
work!

Answers

Answer:

4.2%

Step-by-step explanation:

S.I=P×R×T R=I×100/R×T =6000×100/9600×15

=600000/144000

=4.2%

Cuál es el problema actual que están viviendo los emprendedores?

Answers

Answer:

Los emprendedores se enfrentan a muchos desafíos en el mundo empresarial ultracompetitivo de hoy. Afortunadamente, los emprendedores también tienen más recursos que nunca para abordar esos problemas.

Hoy en día, muchos emprendedores enfrentan los siguientes 10 desafíos. Quizás ya te hayas enfrentado a algunos de ellos. Siga leyendo para saber por qué existe cada desafío y para obtener soluciones y soluciones para que pueda operar su negocio de manera eficiente y exitosa.


The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)

Answers

222inches I’m not shure but use photo math for the answer

Simplify the expression by applying the distributive property and then combining like terms
5(2 + 5) +9
+

Answers

5x+34 Hope this helps

A baseball teams starting lineup has 3 left handed hitter, 4 right handed hitter, and 2 switch hitters . if there are a total of 81 baseball players in the league , how many player could be expected to NOt be a right handed hitter ?

Answers

Answer:  45 players

Step-by-step explanation:

4+3+2=9 9x9=81   9x2=18. 9x3=27 27+18=45

can someone pls help!!

Answers

Answer:

[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]

Step-by-step explanation:

When a quadratic equation is in the form [tex]y=a(x-h)^2+k[/tex] (vertex form):

The x-coordinate can be found by identifying which value makes [tex](x-h)^2[/tex] equal 0The y-coordinate can be found by identifying the k value (y=k)

Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for [tex](x-h)^2[/tex]  to equal 0 and k needs to be -3. The only equation that displays this is G:

[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]

I hope this helps!

Solve for x in the diagram below (x+42)

Answers

Answer:

x = 12

Step-by-step explanation:

(x + 42)° + 3x° = 90°

x + 3x + 42 = 90

4x = 90 - 42

4x = 48

x = 12

Can 1.2345 be written as a fraction ?

Answers

Answer:

2469/2000

Step-by-step explanation:

Answer:

Yes.  2469/2000

Step-by-step explanation:

2x - 42 = 94

Solve for x

Answers

Answer:

x = 68

Step-by-step explanation:

2x - 42 = 94

Use inverse operations to add 42 to both sides of the equation.

2x - 42 + 42 = 94 + 42

Simplify this to-

2x = 136

Now divide 2x and 136 by two for-

2x/2 = 136/2

Simplify.

x = 68

The answer, then, is x = 68.

I hope this helps ^^

Good luck :]

Study the figure.
53
53
?
What is the measure of the missing exterior angle, in degrees?

Answers

Answer:

exterior angle is equal to the sum of two interior opposite angle

?=53+53=106°

missing exterior angle =106°

The measure of the exterior angle is 106°.

What is an exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.

Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,

Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.

Therefore,

53° + 53° = x

x = 106°

Hence, the exterior angle is 106°

Learn more about exterior angles, click;

https://brainly.com/question/28835566

#SPJ2

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