1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
3 years ago
5

Hurry!

Mathematics
1 answer:
NARA [144]3 years ago
8 0

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


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


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

You might be interested in
For which value(s) of x will the rational expression below equal zero? Check all that apply.
geniusboy [140]

Answer:

x = 5 and -2

Step-by-step explanation:

Given the function of x to be;

f(x) = (x-5)(x+2)/x+1

The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;

If f(x) = 0, then;

(x-5)(x+2)/x+1 = 0

Cross multiplying;

(x-5)(x+2) = 0

(x-5) = 0 and x+2 = 0

x = 5 and x = -2

The value of x that will make the function zero is therefore 5 and -2

4 0
3 years ago
Read 2 more answers
Suppose that the equation V = 5x2 60x + 8000 represents the value of
umka21 [38]
Sorry I can’t buddy........................................................:(
8 0
3 years ago
Why did the feudal system rely on a high degree of local independence?
kobusy [5.1K]

Answer:Feudalism helped protect communities from the violence and warfare that broke out after the fall of Rome and the collapse of strong central government in Western Europe. Feudalism secured Western Europe's society and kept out powerful invaders. Feudalism helped restore trade. Lords repaired bridges and roads.

Step-by-step explanation:

6 0
3 years ago
TWO water hoses are pouring water into two separate pools. Alex measures the volume of the water in each pool after different am
Mashcka [7]
Hvgjvrgnnvcthhcfggjgfyhgftty
7 0
2 years ago
A paper cup is a perfect cylinder that is 6.4 cm tall and 3 cm across. Find the total area of paper needed to make the cup, to t
NNADVOKAT [17]

Hey there! I'm happy to help!

We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.

So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.

π×1.5²=7.065

Now, we need  to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.

First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.

3π=9.42

So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.

9.42×6.4=60.288

Now, we add the rectangle area and the bottom circle area.

60.288+7.065=67.353

But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.

An important thing to note is that this is not  the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.

Have a wonderful day!

3 0
3 years ago
Other questions:
  • BD=BC, BD= 5x +26, BC= 2x+1, and AC = 43, find AB
    15·1 answer
  • Flora has 33 flowers and she can pick 7 flowers a minute. Write an equation that shows how many flowers, F, that Flora will have
    11·1 answer
  • What is S7 for 6 – 24 + 96 – 384 + ... ?
    11·2 answers
  • Use the multiplication area model to find 29 x 24
    9·1 answer
  • Suzy spent 6 7/8 days working on her English paper, 3 1/6 days doing her science project, and 1 1/2 days studying for her math t
    7·1 answer
  • The price of limes is 6 for $1.90. Rashid expects to pay 95¢ for 4 limes.
    5·1 answer
  • Jordan weighs twice as much as
    7·2 answers
  • 一、225 + 4.8<br> I don’t understand it plz help<br> (And do it step by step...)
    12·1 answer
  • Cushing's disease is characterized by muscular weakness due to adrenal or pituitary dysfunction. To provide effective treatment,
    10·1 answer
  • What is the LCM of 20 and 40?<br> 5<br> 10<br> 20<br> 40
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!