Mathematics High School

Can anyone tell me why by direct substitution of x, the equation (circled ones) equals to the indeterminate form, 0/0? When you can do x²-k=6 something like that​

Can Anyone Tell Me Why By Direct Substitution Of X, The Equation (circled Ones) Equals To The Indeterminate

Answers

Answer 1

Answer:

See explanation and hopefully it answers your question.

Basically because the expression has a hole at x=3.

Step-by-step explanation:

Let h(x)=( x^2-k ) / ( hx-15 )

This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.

Solving for x in that equation:

Adding 15 on both sides:

hx=15

Dividing both sides by h:

x=15/h

For it be a hole, you also must have the numerator is zero at x=15/h.

x^2-k=0 at x=15/h gives:

(15/h)^2-k=0

225/h^2-k=0

k=225/h^2

So if we wanted to evaluate the following limit:

Lim x->15/h ( x^2-k ) / ( hx-15 )

Or

Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.

We were ask to evaluate

Lim x->3 ( x^2-k ) / ( hx-15 )

Comparing the two limits h=5 and k=225/h^2=225/25=9.

Related Questions

Which is the graph of y = [x]-2?
Please please helped timed 20points

Answers

Answer:

3rd graph

Step-by-step explanation:

Please help explanation if possible

Answers

that's the answer pls mark as brainliest

Answer:

x = 71 and y = 19

Step-by-step explanation:

Given the 2 equations

x + y = 90 → (1)

x = 14 + 3y → (2)

Substitute x = 14 + 3y into (1)

14 + 3y + y = 90 ( subtract 14 from both sides )

4y = 76 ( divide both sides by 4 )

y = 19

Substitute y = 19 into (1) for value of x

x + 19 = 90 ( subtract 19 from both sides )

x = 71

Larger number x = 71 ; Smaller number y = 19

find the value of x if the measure of angle 2 is 12x+4​

Answers

Answer:

30

Step-by-step explanation:

From angle chasing, we know that the angle 2 is 180-56=124. So 12x+4=124, which means 12x=120 so x=30

u4gent help needed
help me with the question of o.math​

Answers

Answer:

1≤f(x)≤5

Step-by-step explanation:

-1≤x≤1

-2≤2x≤2 (Multiplied by 2 both side)

-2+3≤2x+3≤2+3 (Adding three both sides)

1≤f(x)≤5

PLEASE HELP!!! The length, width, and height of a right rectangular prism are doubled. What will be the effect on the volume of the prism?

Answers

It will increase in the length, width, and height x2 because it’s doubled

Answer:

The volume is multiplied by 8.

Step by step explanation:

Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.

The volume of a right rectangular prism with length l, width w, and height h is V=lwh.

Therefore, the volume of the original prism is lwh.

The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.

To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.

V=2l·2w·2h

Simplify.

V=8lwh

The new volume is 8lwh.

If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.

Therefore, the new volume is the original volume multiplied by 8.

Is {3,…} a defined set

Answers

Answer:

no it's not a defined state it's undefined

Help me solve seven pls pls

Answers

Answer:

B. 20

Step-by-step explanation:

First, 20% of 20 is 4.

36 decreased by 4 (36-4) is 32.

The equation is N (160%)=32    or    1.6n=32

160% because it was already 100%, and its increased by 60% (100+60)

Divide  both sides by 1.6.

You get n=20

I hope this helps!

What is the area of Triangle PQR on the grid?

A triangle PQR is shown on a grid. The vertex P is on ordered pair 7 and 6, vertex Q is on ordered pair 1 and 6, and the vertex R is on ordered pair 4 and 2.

5 square units
6 square units
10 square units
12 square units

Answers

Answer:  D)  12 square units

Explanation:

The base is QP = 6 units long.

The height is always perpendicular to the base, and the height is 4 units.

area = 0.5*base*height

area = 0.5*6*4

area = 3*4

area = 12 square units

Answer:

12

Step-by-step explanation:

Can some one help me on this math question its confusing ill give brainly when right!!!

Answers

Answer: 2/5

Step-by-step explanation:

The answer is 2/5 because it’s rise over run, meaning it goes up two spaces and to the right five, you can tell by looking at the plotted points

Graph the relation shown in the table. Is the relation a function? Why or why not? PLEASE HELP THANKYOU

Answers

Answer:

Yes, no verticle line passes through two graphed points

Step-by-step explanation:

A function is when 1 input only has 1 output. None of the inputs have different outputs. So, this is a function.

Help me slove and direction pls ty :)

Answers

Answer:

see explanation

Step-by-step explanation:

Solving

4x + 8 = 20 ( subtract 8 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Each pack contains 3 paintbrushes

Answer:

x=3

Step-by-step explanation:

since the equation to use has already been given,you just have to group the like terms and solve for x

4x+8=20

4x=20-8

4x=12

then divide both sides by 4 in order to remain with x on one side

4x/4=12/4

x=3

each pack contains 3 paint brushes.

I hope this helps

Please help me!!! Homework due before 7pm

Answers

Answers:

8.8 miles on the first day

5.2 miles on the second day

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

Explanation:

f = number of miles walked on the first day

f - 3.6 = number of miles walked on the second day, since they traveled 3.6 miles less compared to the first day.

The two expressions f and f-3.6 must add to 14 as this is the total distance over the two days.

(first day)+(second day) = 14

(f) + (f-3.6) = 14

2f-3.6 = 14

2f = 14+3.6

2f = 17.6

f = (17.6)/2

f = 8.8

They walked 8.8 miles on the first day and f-3.6 = 8.8-3.6 = 5.2 miles on the second day.

As a check,

(first)+(second) = (8.8) + (5.2) = 14

so the answer is confirmed.

the sum of two numbers is 73.if one of them is 40,find the other.​

Answers

Answer:

Step-by-step explanation:

Let the other number = x

x + 40 = 73

Subtract 40 from both sides

x + 40 - 40 = 73 - 40

x = 33

Answer:

33

Step-by-step explanation:

Let the another number = x

Sum of two numbers = 73

A.T.Q

x + 40 = 73

x = 73-40

x = 33

Answer = 33

Six men working 8 hours a day dig a shamba in 5 days. How many more days will it take 4 men working 8 hours a day to finish the job?
NOTE:PLEASE EXPLAIN IN DETAIL !!!

Answers

6m=40hours

1m=40×6h

=240hours

4m=240÷4

=60 hours

divide 60 by 8

=7.5 days

thus,

4 men take 2 and 1/2 day more to complete the job.

Answer: 2 1/2days

what is the meaning of EMI calculation​

Answers

What Is an Equated Monthly Installment (EMI)?

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.

Answer:

equated monthly installment

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full.

Step-by-step explanation:

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.

Find the error in the solution, and then solve it correctly.
7x + 12 + 3x = 8
7x + 12 = 5
7x = -7
x= -7/7

Answers

We could find the error first, but if we solve the equation, we can compare our answers to find the error. So,

7x + 12 + 3x = 8

10x + 12 = 8

10x = -4

x = -4/10

x = -2/5.

When we compare the two, we see that our second line is vastly different, and we can easily isolate the mistake, finding that it occurs when they disregard the variable in the 3x term and subtract 8 by 3 rather than combining the terms 3x and 7x together.

Answer:

x=-4/10 = -2/5

Step-by-step explanation:

7x+12+3x=8

(7x+3x) =8-12

10x=-4

x=-4/10

x= -2/5

5+ ( 4g - 7) ____________

Answers

Answer:

4g -2

Step-by-step explanation:

5+4g -7

Combine like terms

 4g+    5-7  

4g -2

Answer:

[tex]4g-2[/tex]

Step-by-step explanation:

[tex]5+\left(4g-7\right)[/tex]

Remove parentheses:-

[tex]5+4g-7[/tex]

combine like terms:-

[tex]4g+5-7[/tex]

Subtract:-

[tex]5-1=2[/tex]

[tex]4g-2[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]

CAN SOMBOBY HELP ME find the surface area of each figure. Round it to the nearest tenth if necessary.​

Answers

Answer:

365.65

Step-by-step explanation:

you can find the formula online

Right circular cone.
Solve for surface area.
A - 389.85.
Radius.
h.
Height.
13.4.
Using the formulas.
A= arl+ar².
Vithi.
Solving for A.
A= ar (r+.
\/h²+r ).
= T·6·(6+/ 13.4+6' )~ 389.84579.

3T-2 + T -5T= -1
Solve it out please

Answers

Answer: T = -1

Step-by-step explanation:

**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.

Given

3T - 2 + T - 5T = -1

Combine like terms

-T - 2 = -1

Add 2 on both sides

-T - 2 + 2 = -1 + 2

-T = 1

Divide -1 on both sides

-T / (-1) = 1 / (-1)

T = -1

Hope this helps!! :)

Please let me know if you have any questions

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Given that :

Diameter (d) = 18 cm

Pi (π) = 3.14

Radius (r) = d/2 = 18/2 = 9 cm

We know that volume of sphere is

Volume of Sphere = 4/3πr³

Volume = 4/3 × 3.14 × (9)³

Volume = 4/3 × 3.14 × 729

Volume = 4 × 3.14 × 243

Volume = 12.56 × 243

Volume = 3052.08

Hence, the volume is 3052.08 cm³

please help me Find the volume of this shape.

Answers

Answer:

240 m^3

Step-by-step explanation:

It's a cuboid with a volume=l*b*h, where l, b, h are the dimensions of the shape.

Volume=5*12*4=240 m^3

Answer:

V =240 m^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l is length w is width and h is height

V = 12*4*5

V =240 m^3

Which graph represents 3x-5y>10

Answers

Answer:

Step-by-step explanation:

HELP !!!! Please.. ASAP

Answers

a) There are 8 points as shown by the 8 letters (A through H)b) There are 9 lines. This is because there are 3 lines per triangle, to make up each base face, and 3 lateral lines also. An example of a lateral line is segment AD.c) There are 5 planes to represent each face of this triangular prism (2 base faces + 3 lateral faces = 5 faces total)d) You are correct. Points F, H and C are all on the same line; hence they are collinear.e) Name any four points that are on the same plane or face. One example could be A, C, D, F which is the slanted side on the right (it's a rectangle).f) Line segment AB is the answer. Notice how "AB" is found in ABC and ABE. This is the shared segment between the faces. g) Plane BCH is the same as plane BEF. I'm replacing CH with EF to show that EF is in common between planes BEF and DEF. This is a shared edge line. The final answer is line segment EF.h) Point D is the answer. The letter D is found in AD and DF. This is the shared corner point between the segments.

The answers are summarized below.

The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If Steve's budget is $200, how many hours could the electrician work?
12.5 hours
22 hours
11 hours

Answers

Answer:

12.5 hours

Step-by-step explanation:

budget: 200

fix cost: 50

hourly rate: 12

hours: ?

----

First we deduct the fix 50 dollars cost from the total budget.

Then we divide the remaining amount with the hourly rate

( 200 - 50 ) / 12 = ?

? = 12.5 hours

what is the volume of a cube if each side is 11 cm​

Answers

The volume of a cube is side^3

Volume = 11^3

Volume = 1,331 cm^3

Answer:

V =1331 cm^3

Step-by-step explanation:

The volume of a cube is

V = s^3 where s is the side length

V = 11^3

V =1331 cm^3

The table shows the times that street lights come on one night and go off the next morning.In Glasgow, the lights go off later than they do in Newcastle. How much later?

Answers

Answer:

10 mns later

Step-by-step explanation:

What's the average speed limit if it's gonna take you 20 minutes to go 10 miles

Answers

I think ur question is erorr.

hope it hepls u a lot

a² = 3 and a² - 1 = 1 find the value of a​

Answers

Answer:

No solutions to the problem

Step-by-step explanation:

Wolfram Alpha for more info

2x^2-4x+8 when factored is

Answers

Answer:

[tex]2(x^{2} -2x+4)[/tex]

Step-by-step explanation:

[tex]2x^{2} -4x+8[/tex]

= [tex]2x^{2} -2*2x+2*4[/tex]

= [tex]2(x^{2} -2x+4)[/tex]

Name the marked angle in 2 different ways.

Answers

Answer:

Step-by-step explanation:

<CDE or <EDC

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