The graphs of two rational functions of f and g are shown. One of them is given by the expression 2-3x/x. Which graph is it? Thanks will mark brainliest
Answers
Answer:
It's the left graph, y = f(x)
Step-by-step explanation:
If you find the x-intercepts, you'd solve (2-3x)/x = 0. This means you'd really solve 2-3x=0, which gives you x=3/2.
So the graph must have an x-intercept at (1.5, 0). Only f(x) has that.
[tex]y=\frac{2-3x}{x}[/tex]
Vertical asymptote[tex]\Rightarrow x=0[/tex]
[tex]2-3x=0\\\Rightarrow 3x=2\\\Rightarrow x=\frac{2}{3}[/tex]
Zeroes [tex]x=\frac{2}{3}[/tex]
[tex]\Rightarrow[/tex]graph cuts [tex]x-axis[/tex] at [tex]x=\frac{2}{3}[/tex]
Horizontal asymptote[tex]=\frac{coefficient \ of \ higest \ degree \ term \ in \ numerator}{coefficient \ of \ higest \ degree \ term \ in \ denominator}[/tex]
[tex]y=\frac{-3}{1}[/tex]
[tex]=-3[/tex]
Horizontal asymptote[tex]y=-3[/tex]
[tex]\therefore[/tex] Given graph is [tex]y=f(x)[/tex]
Related Questions
A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.
Answers
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
----------------------------------------------------------------
Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below
Answer: y = -2x+9
Step-by-step explanation:
Plz help me! I don’t get it
Answers
Answer:
at y: from 0-4 -> subtract 3.5 like 4-3,5=0,5 etc
Please answer the problem in the picture.
Answers
Answer:
The answer is 9/20. is not negative !
Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E
Answers
Answer:
EF= 18 in. , m<F=134'
Step-by-step explanation:
This ones for the boys with the booming system, top down ac with the cooling sytem
what is the measure of angle ASC
Answers
Determine the Domain and Range. Then decide if the relation is a function or not.
Answers
PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer:
d. took the test
Step-by-step explanation:
Stuck on no.2 so any help will be appreciated : )
Answers
Answer:
Step-by-step explanation:
[tex]\dfrac{x^{m}}{x^{n}}=x^{m-n}\\\\\\a)\dfrac{a^{5}}{a^{3}}=a^{5-3}=a^{2}\\\\\\b)\dfrac{c^{4}}{c^{3}}=c^{4-3}= c^{1} =c[/tex]
Answer:
A) a^2
B) c
Step-by-step explanation: hope this helps
Solve the inequality and enter your solution as an inequality.
7x > 49
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x > 7}}}\\\\\large\boxed{\mathsf{it\ is\ an\ O P E N\ circle\ shaded\ to\ the\ RIGHT}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
if 12 key chains cost $35.35, what is the cost of 20 key chains
Answers
Answer:
The key chain's are 0.75 each
Step-by-step explanation:
The student council at Greenwood High School is making T-shirts to sell for a fundraiser, at a price of $19 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $88. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answers
Answer:
19-8=11,11*n>=88,n>=8 ，8*119-8=11,11*n>=88,n>=8 9=152
Step-by-step explanation:
Unit price - cost = unit profit
When unit profit * quantity > = Installation cost, achieve positive profit
what is 2/3 divided by 1/3
Answers
2
Step-by-step explanation:
2/3 ÷ 1/3 =
2/3 • 3/1 =
6/3 =
2
The quotient is 2
help me out pleaseeee
Answers
Step-by-step explanation:
(5p+11)+(8p-4)5p+11+8p-4
5p+11+8p-145p+7+8p13p+7Hope it's help you
Have a great day<3
please make me brainliest please
Answer:
(5p+11)+(8p-4)
Remove parentheses:5p+11+8p-4
Combine like terms:5p+8p+11-4
=13p+7
Jessica bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 19 dollars. How much did each candy bar cost ?
Answers
Answer:
$3
Step-by-step explanation:
19-4= 15
15 divided by 5= 3
A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.
Answers
Answer:
yy is the comparative narrow of speech to me happy and a bit in a sentence
Step-by-step explanation:
ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be
Write the first five digits of 1/7 in base 9 expression
Answers
Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:
1/9 = 7/63
2/9 = 14/63
while
1/7 = 9/63
Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,
1/7 = 1/9¹ + 2/63.
We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and
1/9² = 7/567
2/9² = 14/567
3/9² = 21/567
while
2/63 = 18/567
Then
2/63 = 2/9² + 4/567
so
1/7 = 1/9¹ + 2/9² + 4/567
Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and
1/9³ = 7/5103
2/9³ = 14/5103
3/9³ = 21/5103
4/9³ = 28/5103
5/9³ = 35/5103
6/9³ = 42/5103
while
4/567 = 36/5103
so that
4/567 = 5/9³ + 1/5103
and so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103
Next, LCM(5103, 9⁴) = 45927, and
1/9⁴ = 7/45927
2/9⁴ = 14/45927
while
1/5103 = 9/45927
Then
1/5103 = 1/9⁴ + 2/45927
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927
One last time: LCM(45927, 9⁵) = 413343, and
1/9⁵ = 7/413343
2/9⁵ = 14/413343
3/9⁵ = 21/413343
while
2/45927 = 18/413343
Then
2/45927 = 2/9⁵ + remainder
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder
Then the base 9 expansion of 1/7 is
0.12512..._9
help me simplify please
Answers
Algebra 2 please help
Answers
Answer:
B
Step-by-step explanation:
B
answer please!!!!!!!!!!!!!!!!!
Answers
South Africa broke the world record for largest pizza in 1990. It weighed `26833` pounds
3 medium pizzas weigh about 2 pounds with toppings.
About how many medium pizzas are equivalent to the world’s largest pizza?
Answers
8,944 hope this helps
About 40250 medium sized pizzas are equivalent to world's largest pizza.
What is Scaling factor?Scaling factor is used to represent how many times of one quantity is equal to another. Mathematically, if x is three times y, this can be written as-
x = 3y
where 3 is the scaling factor.
Given is weight of world's largest pizza and is equal to 26833 pounds and 3 medium pizzas weigh about 2 pounds with toppings.
Now -
3 medium pizzas → 2 pounds
1 medium pizza → (2/3) pounds
Suppose that the weight of world's largest pizza is K times than that of 1 medium pizza. Then we can write -
26833 = 2K/3
K = (26833 x 3)/2
K = 40249.5 = 40250
Therefore, about 40250 medium sized pizzas are equivalent to world's largest pizza.
To solve more questions on Size scaling, visit the link below-
https://brainly.com/question/8961895
#SPJ2
Let
f
(
x
)
=
3
x
+
3
f
(
x
)
=
3
x
+
3
and
g
(
x
)
=
x
2
+
x
+
2
g
(
x
)
=
x
2
+
x
+
2
. Evaluate the following.
a
.
a
.
f
(
2
)
f
(
2
)
=
b
.
b
.
f
(
−
3
)
f
(
-
3
)
=
c
.
c
.
g
(
−
2
)
g
(
-
2
)
=
d
.
d
.
g
(
3
)
g
(
3
)
=
e
.
e
.
f
(
a
−
3
)
f
(
a
-
3
)
=
f
.
f
.
g
(
a
−
3
)
g
(
a
-
3
)
=
Answers
I think when you copied and pasted your question it re arranged itself
Find the value of x and y.
Answers
Answer:
x=8
y=3
Step-by-step explanation:
the triangle on the right side is equilateral, therefore also equiangular, which means each angle is 60 degrees
that means that 4x-2 = 30; 4x = 32; x = 8
also means that 7y+9 = 180-(90+60); 7y+9 = 30; 7y = 21; y = 3
47 divided by 5,452 what the answer
Answers
47/5452 is 0.00862068965
Answer:
0.00862 to 5 decimal places.
Step-by-step explanation:
0.00862 to 5 decimal places.
Does anyone know the answer to this problem??
Answers
20 of the 120 don’t take either. This means 100 students take French, Spanish or both.
The total taking a language is 53 + 68 = 121
A) 131 -100 = 21
There are 21 students taking both French and Spanish
B) 53-21 = 32 take Spanish only.
32 / 120 students = 4/15 probability
7. Sarah wants to send a cube-shaped
package to her cousins in Pond Inlet,
Nunavut. She is going to wrap the
package in brown paper The side length
of the package measures 46 cm. What is
the minimum amount of paper Sarah
will need?
Answers
Answer:
Step-by-step explanation:
I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get
Answers
If he get 96 new customers that means he will have to sign 24 customers
for the new service features.
The deal is to get 25% of your new customer to sign the new service features.
When the new customers are 96 in numbers, the number of individuals(25%
of the new customers) to be signed for the new features can be calculated as
follows:
New customer to sign for the new features = 25% of 96
New customer to sign for the new features = 25 / 100 × 96
New customer to sign for the new features = 2400 / 100
New customer to sign for the new features = 24
read more: https://brainly.com/question/19540991?referrer=searchResults
This means that if I get 96 new customers that means I have to get 24 new customers
From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.
Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:
= 25% of 96
= 0.25 * 96
= 24 new customers
This means that if I get 96 new customers that means I have to get 24 new customers
Learn more on proportion here: https://brainly.com/question/19914553
Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?
Answers
Duke swims 0.05 miles in a minute.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Duke swims 0.10 mile in 2 minutes.
Now,
Since, Duke swims 0.10 mile in 2 minutes.
Thus, Speed = 0.10 / 2
Speed = 0.05 mile per minute
And, He swims at the same speed.
Thus, Distance in 1 minute,
Speed = Distance / Time
0.05 = Distance / 1
Distance = 0.05 miles.
Thus, Duke swims 0.05 miles in a minute.
Learn more about the speed visit:
https://brainly.com/question/24739297
#SPJ2
PRETTY PLS HELP ME JUST 2 MORE QUESTIONS PLS 50 POINTS
Answers
Answer:
I think that you should take your time and answer, every one can help you
Step-by-step explanation:
Step-by-step explanation:
ok give question and intro new sis
Solve the following system by graphing and identify the point of intersection 5x+3y=-15 , 2x-y=-6
Answers
matway hel you 1+1+212FE
Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer
Answers
12 divided by 4 is 3
3 times 10 is 30
