Question involving derivatives and limits...

What is the limit as x approaches 2 of (3 f(x) - 15) / (x-2)... where f(2) is 5. The answer is not 0, I checked.
the derivative f'(2) is 1/8 in case that's needed

it can be either 3/8, , 3.545, or 3/2

Answers

Answer 1

Answer:

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Step-by-step explanation:


Related Questions

HELP PLEASEE!!!

In Asha's science experiment, her bacteria are dying at a constant rate of $600$ an hour. If she drew a graph of the number of bacteria in her culture where $x$ represented the time in minutes since the start of the experiment and $y$ represented the number of bacteria remaining in the colony, her graph would be a line. What would be the slope of this line?

Answers

Answer:

-10

Step-by-step explanation:

The rate of change is also known as the slope of the function thus the slope will be -600.

What is the slope?

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

As per the given,

Bacteria are dying at a constant rate of $600$ an hour.

The rate of change = -600/hour

Slope = y/x = number of bacteria change/time taken

If the graph is a straight line then it will remain constant.

Slope = -600

Hence "The rate of change is also known as the slope of the function thus the slope will be -600".

To learn more about slopes,

https://brainly.com/question/3605446

#SPJ2

HELPPPP PLS!! TY

Look at triangle ABC.

Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.

What is the length of side AB of the triangle? (1 point)

Square root of 6

3

Square root of 18

6

Answers

Step-by-step explanation:

as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.

the drawn triangle is nothing else than that.

to calculate the length of a side in such a triangle we need to use Pythagoras :

c² = a² + b²

c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.

a and b are the legs of the triangle "enclosing" the 90 degree angle.

so, we have

AB² = AC² + BC²

AC and BC we know : the coordinate differences in x and y directions.

AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.

BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.

AB² = 3² + 3² = 9 + 9 = 18

AB = sqrt(18)

FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)

Two of the angles in a triangle measure 154° and 20°. What is the measure of the third angle?

Answers

Answer:

Step-by-step explanation:

The angles in a triangle always add up to 180°. Let’s call the third angle x. That means that:

154 + 20 + x = 180 ->

174 + x = 180 ->

x = 180 - 174 ->

x = 6°

Hope that help! :)

Decide which of the following numbers does not belong in the group.

108
502
603
360

And why does it not belong?

Answers

Answer:

502

Step-by-step explanation

108 has the numbers 0, 1, and 8 which added together totals 9

603 has the numbers 0, 3, and 6 which added together totals 9

360 has the numbers 0, 3, and 6 which added together totals 9

502 has the numbers 0, 2, and 5 which equal 7

502 is the odd one out

A person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is $13.20. Determine how many quarters and dimes are in the bag.

Answers

Answer:

40 quarters and 32 dimes

Step-by-step explanation:

Given:

Quarter = 25 ¢, number of quarters = qDime = 10 ¢, number of dimes = dTotal amount = $13.20 = 1320 ¢

Required equations:

q + d = 7225q + 10d = 1320

Solve by elimination, multiply the first equation by 10 and subtract from the second equation:

25q + 10d - 10q - 10d = 1320 - 10*7215q = 600q = 600/15q = 40

Find p:

40 + p = 72p = 72 - 40p = 32

Let's take the given as,

→ q = quarters (25)

→ d = dimes (10)

→ 1320 will be the amount

→ q + d = 72

→ 25q + 10d = 1320

Now we can solve for q,

→ (25q - 10q) + (10d - 10d) = 1320 - (10 × 72)

→ 15q = 1320 - 720

→ 15q = 600

→ q = 600/15

→ [ q = 40 ]

From this equation,

→ q + d = 72

We can solve for the d,

→ 40 + d = 72

→ d = 72 - 40

→ [ d = 32 ]

There are 40 quarters & 32 dimes.

need help please i’m struggling to solve

Answers

I can't give a very good answer as I don't know what resources are available to you, but this is what I managed to find with a ti-84 calculator.

[tex]y=-31.24+1.34x[/tex]

If you want a better step-by-step, tell me what's in that 'open statistics calculator' option and I'll see what I can figure out.

edit: missed that second part of the question

Using this equation to calculate a test grade with a homework grade of 90:

[tex]y=-31.24+1.34(90)=89[/tex]

4x+y=8
x+2y=5
substutuion method

Answers

Answer:

i dont know sry....i ned points..

Please help me with this MATH question.

Answers

Answer:

y=4

Step-by-step explanation:

84=30y-9y, first you collect like terms.

84=21y, swap the sides

21y=84, devide both sides and you get y =4

help pls ! i need to do this and i cannot figure this out

Answers

I think it’s 8 too!!!
With them being similar I noticed the bigger triangle is 18 and the second is 12. So the smaller triangle was shrink by 1/3 which give 1he 12 for the bigger triangle you take 1/3 away in which your left with 8.

Help with elimination

Many Thanks

Answers

[tex]\left \{ {{-6y = -12} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y = 2} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y=2} \atop {3x + 2*2 = -2}} \right. <=> \left \{ {{y=2} \atop {3x = -6}} \right. <=> \left \{ {{y=2} \atop {x=-2}} \right.\\ => \left \{ {{y=2} \atop {x=-2}} \right.[/tex]

List numbers that are between -103 ad -130

Answers

Answer:

104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,124,125, 126, 127, 128, 129

Hello! :)

Numbers between -103 and -130:

-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128-129

These are the numbers between -103 and -130. Hope it helps. Please ask if you have any query.

~An excited gal

#CarryOnLearning

[tex]MagicalNature[/tex]

x =


A )10

B) 8

C) 9




Help me please this note is just so it will stop saying this is to short

Answers

A) is the following answer ,

Answer:

8

Step-by-step explanation:

it just makes sense, 5=10, therefore 4=8.

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. What was the temperature 4.5 hours ago ?

Answers

Answer:

10.5 degrees Celsius

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation:

This is because 3x4.5=13.5

Can someone pls help me!

Answers

Answer:

x is -3

Step-by-step explanation:

The coordinates of the end points of TU are T(2,4) and U(11,13)

Answers

Answer:

[tex]T(2,4) and U(11,13)[/tex]

Step-by-step explanation:

round 2,419 to the nearest hundred​

Answers

Answer:

2,400

Step-by-step explanation:

Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)

Answer:

2,400

Step-by-step explanation:

Y=6 z=7 h=0 what is y+h

Answers

Evaluate

[tex] \sf \longmapsto \: y + h[/tex]

When

[tex]y = 6[/tex][tex]z = y[/tex][tex]h = 0[/tex]

Let's start.

[tex] \sf \longmapsto \: y + h[/tex]

Put the values

[tex] \sf \longmapsto6 +0[/tex]

Answer

[tex] \sf \longmapsto6[/tex]

But there is no use of z = 7 . Z is excluded from y+h.

The rectangle below has been enlarged by a scale of 3.5.

A rectangle with a length of 8 and width of 6.

Answers

Multiply the original dimensions by the scale:

8 x 3.5 = 28

6 x 3.5 = 21

New dimensions:  length = 28, width = 21

What is 7536 to 1 significant figure

Answers

Answer:

8000

Step-by-step explanation:

HELP PLS ASAPPPPP AHH

Answers

Answer:

25021/50 ft.

Step-by-step explanation:

Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft

More Explanation on Rational Numbers:

Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

Have a great day! :D

Need to minus the number but first try and find a other number to minus it

Please help me please

Answers

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

M=2
X= 1
Y=1
Z=-1
This is the answer to the equation.

help meee plzzz
help me

Answers

Answer:

I only know the second one sooorrry

if you say its classification so that type of traingle is obtuse triangle

Step-by-step explanation:

4x^2 - 3 when x= -10

Answers

Answer:

397

Step-by-step explanation:

1. To evaluate this expression, we plug in the value of x and simplify.

[tex]4x^2 - 3[/tex] [tex]4(-10)^2 - 3[/tex] [tex]4(100)-3[/tex] [tex]400-3[/tex] [tex]397[/tex]

Therefore, the answer is 397.

What is the slope of the line ( part 2 )

Answers

Answer:

-1/2

Step-by-step explanation:

the value if /14-15/ is​

Answers

Answer:

1

Step-by-step explanation:

/14-15/

/-1/

1(because absolute value of any real number is always positive and for zero itself zero)

A group of friends is sharing 2 ½ pounds of berries
If each friend received 5/4 of a pound how many friends are sharing the berries

Answers

Answer:

2 friends

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

I already know the FEC = 90 but whats ABC

Answers

Answer:

it looks like 60

Step-by-step explanation:

Please HeLp 100 PoInTs + bRaNlEyIsT

Answers

Answer:

It is congruent doe to the angle side angle congruence thereom AKA ASA

Step-by-step explanation:

That means there are two angles and one side in between. A pair of triangles  that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before).  Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.

Which of the following are not polynomials?

Answers

Answer:

A C and D are not polynomial

Write an equation in Slope intercept form for the line that passes through the given point and has the given slope (-2,-3) , (4,5)

Answers

Answer:

[tex]y=\frac{4}{3}x-.333[/tex]

Step-by-step explanation:

Using the Slope Formula:[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex][tex]\frac{5-(-3)}{4-(-2)}=\frac{5+3}{4+2}=\frac{8}{6}=simplify=\frac{4}{3}[/tex]
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