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

Which choice represents the expression below as a single exponential
expression?
7.16.7.17
A. 7.142
B. 7.113.7.113
C. 7.113
D. 711

Answers

Answer:

C) (7.1)^13

Step-by-step explanation:

When you multiply numbers with the same bases but different exponents, the base stays the same, but the exponents get added:

a^x*a^y=a^(x+y)

(7.1)^6*(7.1)^7=(7.1)^(6+7)=(7.1)^13

Therefore, the correct answer is C) (7.1)^13

Answer:

C

Step-by-step explanation:

When multiplying numbers with exponents, you always add the exponents.

7.1^6+7

7.1^13

Hence, C

Hope it helps!

The first term of a sequence is 4 and the common
ratio is -2. What is the formula for the sequence
based on term number
Qy --2-(4)-1
ay -4.(-2)2-1
an = (4.-2)^2=1
an - 4.(-2)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Geometric Progression.

So, we know that,

GP = a.r^(n-1)

here, a = 4 and r = -2

so we get as,

an = 4.(-2)^n-1

Option B.) is correct

pls answer 2,3,5,6 and thank you for helping and pls work it out

Answers

Answer:

2: add 4

3: 6

5: multiply by 2

6: 7

Step-by-step explanation:

is 6:4 and 4:3 equivalent ratios?

Answers

Answer:

nooooo

Step-by-step explanation:

an equivalent ratio to 6:4 would be 3:2 and an equivalent ratio for 4:3 would be 8:6

hope this helps! :)

The ratios 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

What are ratios and proportions?

A proportion is a statement that two ratios are equal. It compares two ratios and states that they are equivalent.

No, the ratios of 6:4 and 4:3 are not similar. We must reduce each ratio to its simplest form in order to determine whether two ratios are equivalent (by dividing both the numerator and denominator by their greatest common factor).

For 6:4, the greatest common factor is 2, so we can simplify to:

6:4 = 3:2

For 4:3, there are no common factors other than 1, so it is already in its simplest form.

Since 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

To know more about ratios and proportions follow

https://brainly.com/question/29038325

#SPJ2

Point R is located at (8, 9). Where is R' after a translation 8 units left and 6 units down?

Answers

Answer is R (0;3)
left is x so 8-8=0
And down is y 9-6=3

Is a acute triangle regular?

Answers

Answer:

An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.

Step-by-step explanation:

hope this helped and can u plz mark me brainlest

an acute triangle is a triangle with angles under 90 degrees! not sure what you mean by regular but i hope this definition helped

How many​ flowers, spaced every 3 ​in., are needed to surround a circular garden with a 125 ​-ft ​radius? Use 3.14 for (the pie symbol).

Answers

Answer:

785

Step-by-step explanation:

flowers needed to surround the garden = circumference of the garden / space

circumference of a circle = 2nr

n = 3.14

r = radius

The radius is in ft and the space is in inches. i would convert the ft to inches to aid comparability

1ft = 12 inches

125 x 3 = 375

2 x 3.14 x 375 = 2355

flowers needed = 2355 / 3 = 785

HELP ME AND NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

C

Step-by-step explanation:

b and c are wrong cuz we can see that some dogs weighed 20 pounds

D is wrong cuz the iqr is not affected by extreme values and is focused on the 25th and 75th percentile of the values

10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.

Answers

36 using the angles replaceable to multiple bc it’s needed

Please helppp fast!!Simplify (4x^5)^2 (x^10)^1/2

Answers

Answer:

(4^2*x7)(x^10.5)

Question 5 :)) What is the measure of the missing angle?​

Answers

The answer is 115 because the interior angle is 65 and 115 plus 65 is 180. You want 180 because the angles are opposite and make a straight line

The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?

Answers

Answer:

The answer is given below:

Step-by-step explanation:

The computation of the dimension of the pennant is shown below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

where

x represents the base of the traingle

h represent the height that should be (5x - 10)

Now according to the above formula

420 =  1 ÷ 2 × x × (5x - 10)

840 = x(5x - 10)

840 = 5x^2 - 10x

5x^2 - 10x - 840 = 0

5(x^2 - 2x - 168) = 0

x^2 - 2x - 168 = 0

x^ - 14x + 12x - 168

x (x - 14) + 12(x - 14)

(x + 12) (x - 14)

So, here x = 14

Now height would be

= 5(14) - 10

= 60 inches

A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed. Balan, who lives on this planet, does a survey and finds that her colony of 852 contains 170 green, one-headed Jolos; 284 purple, two-headed Jolos; and 430 one-headed Jolos. One-headed Two-headed Total Green 170 Purple 284 Total 430 852 How many green Jolos are there in Balan's colony? O A. 138 B. 308 O C. 422 D. 260​

Answers

Answer:

B. 308

Step-by-step explanation:

Table is given belowFind the missing values.The one we are looking for is total of green = y.

                 |              1 -H        |       2-H          |       Total

Green       |           170            |          x           |       y      

Purple       |            z              |       284          |       w        

Total         |            430          |          v            |      852      

z = 430 - 170 = 260w = 260 + 284 = 544y = 852 - 544 = 308v = 852 - 430 = 422

Correct choice is B

Someone help plz, plz make sure it’s right if it is will mark brainiest :)

Answers

Answer:

Step-by-step explanation:

I really don’t know but I think you have to find the hypothenuse first then you can do the rest

Answer:

Step-by-step explanation:

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.

help asap
Classify the triangle as acute, obtuse, or right. Use the sides, 6,12,18, and decide wha
type of triangle it is.

Answers

Answer:

Acute because all angles are less than 90

Need help and pls explain the best you can with the answer

Answers

Answer:

D = +/- 12.041 units

Step-by-step explanation:

D =

[tex] \sqrt{} (x2 - x1) {}^{2} + (y2 - y1) {}^{2} [/tex]

[tex] \sqrt{} ( - 5 - 4) {}^{2} + (3 - ( - 5)) {}^{2} [/tex]

[tex] \sqrt{81 + 64} [/tex]

[tex] \sqrt{145} [/tex]

D = +/- 12.041 units

Name the marked angle in 2 different ways.
M
L
J
K

Answers

Answer:

Angle J and angle MJK or maybe right angle....

These are the three ways...

Hope it helps

Step-by-step explanation:

a) Work out the value of angle x.
X
X=
b) Give reasons for your answer.​

Answers

Answer:

x = 60° (Alternate angles)

Step-by-step explanation:

a) x = 60°

b) Reason: Alternate angles

Answer:x=60

Step-by-step explanation: all angles in a triangle add up to 180 degrees, x is the same as the angle next to it, therefore x=60 degrees

PLEASE HELP ILL GIVE BRAINLIEST SHOW WORK PLEASE

Answers

Answer:

C 28 cm

Step-by-step explanation:

16 ÷ 8 = 2

14 × 2 = 28 cm

Find the circumference of a circle with radius, r = 16.5m.
Give your answer in terms of pi.

Answers

Answer:

33π is the answer in terms of pi.

Step-by-step explanation:

Circumference of circle formula is C=πd.

Plug in the given values. We put 33 into d, because d represents diameter, and diameter is twice the radius(16.5), so we multiply 16.5 by 2. So far we have C=(π)(33).

C=(π)(33)=33π

NEED ANSWERS NOW!! (Reward) brainlest and pointsss

Answers

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

      = - 0.6 (x - 3.5)² + 7.35 + 240

     = - 0.6(x - 3.5)² + 247.35

with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

HELP HELP HELP!!!!!!!

Answers

Answer:

b = 77

Step-by-step explanation:

a² + b² = c²

36² + b² = 85²

1296 + b² = 7225

b² = 7225 - 1296

b² = 5929

[tex]\sqrt{b^2} =\sqrt{5929}[/tex]

b = 77

Simplify the following [³√64a³]-¹​

Answers

A 4a
B. 1/8a
C. 8a
D. 1/4a

(x+ 7)(x -8) = 0 then
___ OR ___
OR Solving: x = x =

NOT MULTIPLE CHOICE

Answers

Answer:

if this is factoring i wanna say

x= -7

x= 8

but i could be wrong this is a trick 1

Step-by-step explanation:

hi please help i’ll give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.

a
b
c
d







plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

it's not A or D

Step-by-step explanation:

math I guessssssss

Answer:

D

Step-by-step explanation:q

If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.

Since the side opposite is 12, the hypotenuse is easily found.

1/2 = opposite / hypotenuse

1/2 = 12 / hypotenuse                     Cross multiply

hypotenuse = 2 * 12

hypotenuse = 24

Now use the Pythagorean Theorem to get the third side.

c = 24

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576                                  Subtract 144 from both sides.

b^2 = 576 - 144

b^2 = 432

Now  you have to factor 432 down to its primes

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.

sqrt(b^2) = sqrt(432)

b = 4 * 3sqrt(sqrt(3))

b = 12 sqrt(3)

Answer

r = 12*sqrt(3)

t = 24

The answer is D

The table shows the race time, in minutes, for five runners.
What is the range in the race times?

A) 14
B) 16
C) 18
D) 21

Answers

The range is 7
21-14=7

Answer:

18

Step-by-step explanation:

OOPS I MEANT 18 I WASNT PAYING ATTENTION LOL

Can you answer this please. NO LINKS

Answers

Answer:

The answer selected is correct

Step-by-step explanation:

What is slope of (2,-1) and (-5,-3)?

Answers

slope is m=2/7.
hope this helps !

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

What is 2/5 divided by 4

Answers

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

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