Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
g+1/4Ua=b
solve for A.
Answer:
a=4b/u-4g/u
Step-by-step explanation:
You got this!
In a sample of 16 mini-golf balls, 6 are yellow and 10 are pink. If 2 balls are selected at random from the sample, one at a time without replacement, what is the probability that both balls are not pink?
Answer:
The probability is 1/8 that you'll pick 2 yellow balls.
Step-by-step explanation:
P(Both balls not pink) = P(Both balls yellow) = 6/16 * 5/15 = 1/8
5y - 10= -25
a y=3
b y=7
y=-3
y=-7
Answer:
C. y=-3
Step-by-step explanation:
5y-10=-25
5y=-25+10
5y=-15
y=-15/5
y=-3
How do you do this and what would the answer be.
1 out of 3
Step-by-step explanation:
There are 5 cards. 3 of which are odd. if you lift 3 out of the five there is a 3 out of 5 chance itll be odd. while if it is only 3 cards. it would have to be a 1 out of 3 chance because there will always be an odd number involved.
A bakery sells 5 muffins for every 6 cookies it sells. Complete the table to show the relationship between the number of muffins and cookies the bakery sells. Enter a number in each box
Answer:
24 cookies
25 muffins
96 cookies
What is the value of log: 3 3
Answer:
1
Step-by-step explanation:
You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change
Answer:
820.11
Step-by-step explanation:
-39.48
603.15+90.89=694.04
694.04+106.03=800.07
800.07+70.04+870.11
870.11-50.00=820.1
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Answer:
C
Step-by-step explanation:
trust me on this one
79x + 4x^2 − 2y − 82x + y
Combine this like term
Answer: 4x^2-y-3x
Step-by-step explanation:
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:
the second one fore the points
then the third one for the graph
Step-by-step explanation:
(-4,3), (-4,4), (-3,1), (1,1):
X: -4, -3, 1 Since theirs two -4s you only put one
Y: 1, 3, 4 since theirs two 1s you only put one
The graph:
(1,-1), (4,4), (-1,1), (-3,1), (-3,-4)
X: 1, 4, -1, -3
Y: -1, 4, 1, -4
Have a safe and happy new year :)
6th Grade Math Problem
Please Help Me Solve.
(Also Explain Please)
THANK YOU SO MUCH!
ALSO WORTH POINTS!
=)
Answer:
8$ is 3 burgers
40$ is 15 burgers
Step-by-step explanation:
what is the slope of the linear function
y=1/2 x + 4
Is it
1/2
-4
4
-1/2
Answer: 1/2
Step-by-step explanation:
the formula for a line is y = mx + b
m is the slope. so in the line y = 1/2x + b
1/2 is our m and therefore that’s the slope
help asap I have 2 min
Choose the congruence theorem that you would use to prove the triangles congruent.
SSS
SAS
ASA
AAS
Answer:
ASA
Step-by-step explanation:
Write a linear function f with the values f(−1)=8 and f(5)=6.
Answer:
f(x)=1/3x+23/3
Step-by-step explanation:
Find the slope:
m= -1/3
Find the y-intercept:
b= -7 2/3
Substitute in the numbers to get:
f(x)=1/3x+23/3
Hope this helps! :)
The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are;
⇒ f (-1) = 8 and f (5) = 6
Now,
Let the linear function is,
⇒ f (x) = ax + b
Substitute f (-1) = 8 and f (5) = 6 in above equation as;
⇒ f (-1) = a × -1 + b
⇒ 8 = - a + b ... (i)
And, ⇒ f (5) = a × 5 + b
⇒ 6 = 5a + b ... (ii)
Solve (i) and (ii) as;
a = - 1/3 and b = 23 / 3
So, The linear equation become;
⇒ f (x) = ax + b
⇒ f (x) = -1/3x + 23/3
Thus, The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
Learn more about the linear equation visit:
https://brainly.com/question/2030026
#SPJ2
George invested $3,600 in an account for 3 years. After 3 years he had earned $540 in interest. What is the simple interest rate on his account?
Step-by-step explanation:
here's the answers...........
Mary Catherine makes 2 gallons of punch for her party. How many pints of punch did she make?
the answer is below :D hope u do good!
Step-by-step explanation:
answer is 32! trust me
Determine the intercepts of the line
Answer:
x - intercept: -1.2
y - intercept: -0.7
i need the answer to this graph
please help!!!!
algebra 2
Answer:
domain: x<2 or x>2
x-intercepts: (3/2, 0), (-3/2, 0)
ANSWER PLEASE 40 POINTS!
Answer: |10 - (-8)|
The absolute value is 18
Step-by-step explanation:
The distance between two numbers is a subtraction equation.
10 - (-8) Subtracting a negative is like adding a positive
10 + 8 = 18
If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"
Answer:
|-10 - (-8)|
Step-by-step explanation:
Distance from 10 to 0: 10Distance from 0 to -8: 8Put them together (with absolute value): |-10 - (-8)|I hope this helps!
PLEASE HELP ME............THANKS
Answer:
i think it's c, I could be wrong djxndnxmmx
Answer:
{2,4,9,16}
Step-by-step explanation:
Range are the y values, which are on the right.
3x + y = 2
x – 2y = 10
Someone help me
Answer:
x =2 nd y= -4
Step-by-step explanation:
That is your answer for the question I hope you get a good grades in school!!!
which of these is a composite number? 4 2 6 8
Step-by-step explanation:
4,6 and 8 are composite numbers
and 2 is an prime number
hope it helpful
Answer:
4 , 6 , & 8 are composite numbers
What is the value of 3-(-2)
A.-5
B.-1
C.1
D.5
Answer:
5
Step-by-step explanation:
3-(-2)=5
Two negatives are a positive. So 3-(-2)=3+2. And 3+2 is 5.
Answer:
0
Step-by-step explanation:
-5 + -1 = -6
5 + 1 = 6
-6- 6 = 0
Which functions are vertical stretches of the square root function? Check all that apply.
Answer: 6/5 root x
explanation: A vertical stretch happens when you’re multiplying by a number GREATER THAN 1 on the outside of the root. 6/5 root x is the only answer choice that meets this.
Answer:
B, D & E -[tex]\sqrt{x} 16X[/tex], 3/8√9x, 6/5√x
Find the oth term of the arithmetic sequence 16, 21, 26, ...
Answer:
31
Step-by-step explanation:
16+5=21
21+5=26
26+5=31
im struggling :(((((((((((
Answer:
Step-by-step explanation:im sorry im only 11
I need an answer to What is: p - 10 = 5
Answer:
P would be substituted with 15, so the equation would be accurate
Step-by-step explanation:
a restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive . The cost of making burritos is negative. Profit is the money left after paying the cost.
How much profit would the restaurant make by selling 100 burritos?
1. How much money would the restaurant take in by selling 100 burritos?
Answer:
$550
Step-by-step explanation:
Answer:
The restaurant would take in $550 by selling 100 burritos
Step-by-step explanation:
First, we need to add all the expenses together and multiply by 100
1.50 + 1.00 = 2.50
2.50 x 100= 250
We know that the restaurant would charge $800 in total for the 100 burritos so now we subtract what it costs to make them.
800 - 250 = 550
Our final answer would be $550