Please help !!

Find the limit of the function by using direct substitution.
limit as x approaches three of quantity x squared plus eight x minus two.

0
-31
Does not exist
31

Answer:

m=3     b=-2       y=3x-2

Step-by-step explanation:

The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.

The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b

The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.

Answer:

8-6.14= 1.86

That's what you get

Answer:

you would get $1.86 back

Answer:

Mark sold 12 cupcakes, meaning Gracie sold 16.

4 threes, and 4 fours.

Mark            Gracie

O O O          O O O O

O O O          O O O O

O O O          O O O O

O O O          O O O O

Answer:

Step-by-step explanation:

m/g=3/4

m=3g/4, now we can express m in terms of g

g=4+m, using m found above in this equation gives you

g=4+(3g)/4

4g=16+3g

g=16, since m=3g/4

m=3(16)/4

m=48/4

m=12

So total cupcakes sold is 12+16=38.

38 cupcakes were sold.

Answer:

e=3.4

Step-by-step explanation:

Your equation is 2e=6.8

All you have to do is divide both sides by 2 and get that:

e=3.4

The solution for 2e=6.8 is 3.4

Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given equation is: 2e=6.8

Divide both by 2, to make the coefficient of e 1.

2e/2=6.8/2

e=3.4

Hence, the solution of the equation is 3.4.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

he spent $8.33 on each shirt

Answer:

1.41226231144

Step-by-step explanation:

Answer:

Step-by-step explanation:

16cos(30)-20sin(60) -8sin(90)

look at the pattern of the numerators Millie, you can remember all of the sin and cos  functions at the special angles now. :)

sin(0) = 0 / 2

sin(30) = 1 / 2

sin(45) = [tex]\sqrt{2}[/tex] / 2

sin(60) = [tex]\sqrt{3}[/tex] / 2

sin(90) = [tex]\sqrt{4}[/tex] / 2   aka  1

now the numerators just count up from 90°

cos(90) = 0 / 2

cos(60) = 1 / 2

cos(45) = [tex]\sqrt{2}[/tex] / 2

cos(30) = [tex]\sqrt{3}[/tex] / 2

cos(0) =  [tex]\sqrt{4}[/tex] / 2   aka  1

see the pattern.. it's pretty easy to memorize, knowing that :)

now let's use the above to plug into the given equation

16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2

8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex]  -8

-2*[tex]\sqrt{3}[/tex]  - 8

this isn't quite the same answer as you got before.. I feel like it's right

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

Answer:

This would equal [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

We do this by just multiplying straight across

Numerators go first

[tex]1*5*4[/tex]

This equals 20

Now the denominators

This would be done by

[tex]8*6*5[/tex]

This equals 240

now all together this is

[tex]\frac{20}{240}[/tex]

Simplify

[tex]\frac{1}{12}[/tex]

Answer:

50 percent

Step-by-step explanation:

Total number of people in this car survey = 1200

Total number of people who they would still buy same car type = 600 (these are the satisfied people)

The percentage = 600/1200 x 100

= 0.5 x 100

= 50 percent

So the percentage of satisfied people who would buy this type of car again is 50%

Answer:

The slope of the line 3.

Step-by-step explanation:

The line is going through 3.  Although it is not -3, because if the line is sloping upward from left to right, then the slope is positive (+). If the line is sloping downward from left to right, the slope is negative (-).

Answer:    The answer is either letter A or letter D

0

Hint 1: Find the direction cosines of AB and BC. Then take their dot product. This will give the cosine of the angle between AB and BC.

Hint 2: The Direction Cosines of PQ, P(x1,y1,z1) and Q(x2,y2,z2), are (±x2−x1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±y2−y1(x2−x1)2+(y2−y1)2+(z2−z1)2√,±z2−z1(x2−x1)2+(y2−y1)2+(z2−z1)2√)

Edit: The Dot Product works iff the lines intersect.

B is the intersect point , doesn't matter if it's in 2D or 3D – Ali Apr 28 '18 at 5:52

0

Lines in dimension three do not have to intersect. We find their direction vectors to see if they are parallel.

Note that

AB→=<x2−x1,y2−y1,z2−z1>

and

BC→=<x3−x2,y3−y2,z3−z2>

These vectors are the direction vectors are your lines.

The dot product

AB→.BC→

along with the norms of these vectors determine the angle between the lines if they intersect at all.

cosθ=AB→.BC→||AB||.||BC||

Step-by-step explanation:    This is for the picture

Center:  (0, 0)

Width:  10

Angle:  0 rad

Height:  6.8

Opacity:  1

Answer: 6

Step-by-step explanation: The way to solve this problme is to move backwards. Instead of adding you would subtract the number after the equal sign and whatever number before. It's kind of like a fact family!

10-4=6 so the answer is 6.

I hope this help you out, have an awesome day! :)

Answer:

5.6

Step-by-step explanation:

Answer:

0.775

Step-by-step explanation:

is 5he answer

Step by step

Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

-10+59=5m=7+3m

49=5m=7+3m

49-7=5m-3m

m=42/2

m=21

Answer:

21

Step-by-step explanation:

-10+59 = 5m = 7 + 3m

49 = 5m = 7 + 3m

49 - 7 = 5m - 3m

42 = 2m

42/2 = m

m= 21

Answer:

SA = 108cm² (the 2nd option)

Step-by-step explanation:

h = 4

l = 3

w = 6

SA = 2(lw + lh + wh)

SA = 2((3)(6) + (3)(4) + (6)(4))

SA = 2(18 + 12 + 24)

SA = 2(54)

SA = 108cm²

The surface area of the rectangular prism is 108cm².

Since

height = 4

length = 3

width = 6

So, here the surface area is

SA = 2(lw + lh + wh)

= 2((3)(6) + (3)(4) + (6)(4))

= 2(18 + 12 + 24)

= 2(54)

= 108cm²

hence, The surface area of the rectangular prism is 108cm².

Learn more about area here: https://brainly.com/question/24591736

Answer:  -50x^3 - 25x^2 - 110x - 55

Step-by-step explanation: brainliets if its right

Answer:

Part A

The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1

Part B

It would take Lara 18 hours to clean the tank if she works by herself

Step-by-step explanation:

Part A

The time it takes Kevin to clean an aquarium tank alone = 9 hours

The time it takes Kevin and Lara to clean the tank together = 6 hours

Let '1/x' represent Lara's cleaning rate, we have;

The time it would take Lara to clean 1 tank alone = 1/(1/x) = x

Kevin's cleaning rate, y = 1/9 tank per hour

The number of tanks, z =  tank

The total time it takes both of them to clean the tank, t = 6 hours

Therefore, we get;

t × y + t × 1/x = z

When t = 6, y = 1/9, and z = 1, we get;

6 × (1/9) + 6·(1/x) = 1

Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;

6/9 + 6·(1/x) = 1

6/9 + 6/x = 1

Part B

Solving the rational equation gives;

1/x = (1 - 6/9)/6 = 1/18

∴ 1/x = 1/18)

∴ x = 18

The time it would take Lara to clean the tank if she worked by herself, x = 18 hours

Answer:NO!!

Step-by-step explanation:

RS distance of 2 while TU distance of 1

Answer:

568,000L

Step-by-step explanation:

1 Kiloliter = 1,000 Liters

568 x 1,000 = 568,000

Answer:

Step-by-step explanation:

4x³ - 8x² - 12x = 4x ( x² - 2x - 3)

                       = 4x (x² + x - 3x - 3*1)

                       = 4x [ x(x + 1) - 3(x +1)]

                       = 4x [ (x +1) (x - 3)]

                       = 4x  (x + 1)(x-3)

Answer:4x^3 -8x^2- 12x

Taking common4 x

4X(x²-2x-3)

Doing middle term factorization

4x(x²-3x+x-3)

4x(x(x-3)+1(x-3))

4x(x-3)(x+1) is your answer

Step-by-step explanation:

Answer:

A = 24 cm²

Step-by-step explanation:

The area (A) of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × AB × AC

Calculate AC using Pythagoras' identity

AC² + AB² = BC²

AC² + 6² = 10²

AC² + 36 = 100 ( subtract 36 from both sides )

AC² = 64 ( take the square root of both sides )

AC = [tex]\sqrt{64}[/tex] = 8

Then

A = 0.5 × 6 × 8 = 24 cm²

Answer:

B. r = 3√(3V - 4π)

Step-by-step explanation:

volume of a sphere,V = 4/3πr³

Solve for r

V = 4/3πr³

V - 4/3π = r³

r³ = V - 4π/3

Cross product

r³ = V*3 - 4π

r³ = 3V - 4π

Find the cube root of both sides

3√r³ = 3√(3V - 4π)

r = 3√(3V - 4π)

Answer:

1/6

Step-by-step explanation:

Answer:

449,999

Step-by-step explanation:

Given that:

Greatest whole number that round to 400,000 when rounding to the nearest hundred thousand :

To obtain the greatest whole number which rounds to 400,000, the whole number is greater Tha 400,000 and its 10 thousand digit in the number or value to be rounded must be lesser than 5.

The value would be 449,999 ; here z the 10 thousand value which is 4 is rounded to zero since it is not up to 5 and the subsequent digits also rounded to 0 to give ;

400,000 (nearest hundred thousand).

Answer:

35 units

Step-by-step explanation:

edg

Answer:

8,14,9 = yes

8 + 14 > 9 ✅

17,4,13 = yes

17 + 4 > 13 ✅

9,9,9 = yes

9 + 9 > 9 ✅

22,23,60 =  no

22 + 23 > 60 ❌