17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
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]
Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit
Answer: 40320
Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.
The number of ways for the children sit will be 40,320.
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;
Eight children sit together at story time.
And, Seven children sit in a circle and one child sits in the middle to tell the story.
Now,
Since, There are 8 students.
Hence, The number of ways for the children sit = 8!
= 40,320
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Keith and his 6 friends are taking a trip. The total cost of the trip is $1,145.55. The total cost of the tickets for the amusement park was $341.25. The total cost of three hotel rooms was $454.65. The total cost for the show they were going to see was $153.65. The rest of the money they paid was used to purchase gas for their trip. Use this information to answer the questions below.
Answer and explanation:
Question is incomplete
Question will likely ask how much is the rest of the money paid for gas.
We use algebra to find how much is the rest of the money paid for gas
So given
total cost of the trip = $1,145.55
total cost of tickets for amusement park = $341.25
The total cost of three hotel rooms = $454.65
total cost for the show they were going to see = $153.65
Let's call rest of money spent on gas x
Hence the equation for total cost with all expenditures,
$341.25+$454.65+$153.65+x=$1,145.55
Solve for x
$949.55+x=$1145.55
x=$1145.55-$949.55
x= $196
Therefore amount spent on gas for the trip =$196
A boy wants to purchase 1,400 green marbles. If there are 70 green marbles in each bag, how many bags of marbles should the boy buy?
Answer:
20 bags
Step-by-step explanation:
1400/70
Answer:
20 bags
Step-by-step explanation:
1400 ÷ 70 = 20
Find gradient of y=x^2-4x+6 at (3,3)
[tex]y=x^2-4x+6\\y'=2x-4[/tex]
To find the slope/gradient of the curve at the specific point, we use the derivative.
Then substitute x = 3 in y' = 2x-4
[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]
Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.
PLS AWNSER BEST AWNSER GET BRAINLIST.
I need a good grade on this final for my pc lol
Answer:
D
Step-by-step explanation:
A waiter had fifty-seven customers. If twenty-three left, how many customers would the waiter still have?
Answer:
34
Step-by-step explanation:
Answer:
34 customers.
Step-by-step explanation:
57-23=34
Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about point Q. What is the area of triangle P’Q’R’?
Helpp plss
The area of the triangle P’Q’R’ is 384 square units
The formula for calculating the area of a triangle is expressed as:
A = 0.5bhb is the base of the triangleh is the height of the triangle.If the right triangle PQR has sides of length 6 units, 8 units, and 10 units is dilated by a scale factor of 4 units, hence:
base = 4(6) = 24 unitsheight = 4(8) = 32 unitsArea of the triangle P’Q’R’ = 0.5(24)(32)
Area of the triangle P’Q’R’ = 384 square units
Hence the area of the triangle P’Q’R’ is 384 square units
Learn more on area of triangles here: https://brainly.com/question/17335144
What is this??????????
Answer:
A drawing. I guess the sky
Step-by-step explanation:
this is a very hard question
confused :( please help!!!!
angles are confusing aaaaaa
Answer:
22
Step-by-step explanation:
Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.
90-68= 22
Answer:
29
Step-by-step explanation:
Which of the following expressions is equivalent to the expression given below.
12 (-31 + 26) + 45
—————————
4
3.5
-3.75
4.2
-4.5
Answer:
wuhh
Step-by-step explanation:
Does the table, graph, or equation represent a linear or nonlinear function? EMERGENCY I need help
Answer:
Nonlinear
Step-by-step explanation:
This is because the x^2. If there are any exponets, the equation would be considered nonlinear.
Hope this helps!
Which of the following statements uses the multiplicative identity?
(-8)(1) = -8
-8 + 0 = -8
(-8)(-1) = (-1)(-8)
-8 + 1 = 1 + (-8)
answer quick plz plz plz
9514 1404 393
Answer:
(-8)(1) = -8
Step-by-step explanation:
The multiplicative identity element is 1. Multiplying by 1 does not change the value. This is illustrated by ...
(-8)(1) = -8
Apply the Pythagorean Theorem to find the distance between points A and C.
A 190 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answer:
63.33333333333
Step-by-step explanation:
Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28
Answer:
b. 14
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
√39
Step-by-step explanation:
use the Pythagorean Th because the triangle is right
8² = 5² + x²
8²-5² = x²
√64-25 = x
√39 =x
Melissa will choose between two restaurants to purchase pizzas for a party. The first restaurant charges a delivery fee of $6 for the entire purchase and $12 per pizza. The second restaurant has no delivery fee and charges $14 perr pizza. Let x be the number of pizzas purchased.
Answer:
I will try to described the smallness to the best of my ability. take two chairs - face them to each other - put a 12" square table between them leave enough room to open a 24" door and you have ...
Step-by-step explanation:
What is the perimeter of the parallelogram?
29 cm
80 cm
58 cm
32 cm 2
Answer:
199 [tex]cm^{2}[/tex]
Step-by-step explanation:
Answer:
58 CM
Step by Step explanation.
The surface area of a sphere is 196 π . Its radius is
Answer:
The radius of the sphere is 7 units
Step-by-step explanation:
Surface Area
Given a sphere of a radius (r), the surface area is given by the formula:
[tex]\displaystyle A=4\pi r^2[/tex]
If the surface area is given, we can solve for r:
[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]
The surface area of a sphere is given A=196π.
Calculating the radius:
[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]
[tex]\displaystyle r=\sqrt{49}[/tex]
r = 7 units
The radius of the sphere is 7 units
True or false
It is common for
basic savings accounts
to have interest rates
up to 35%.
Answer:
TRUE
i think
Step-by-step explanation:
Help, please. My assignment is past due so pls hurry.
Answer:
X=8
Step-by-step explanation:
46+9x-8=14x-2
46-8+2=14x-9x
40=5x
8=x
Answer:
x=8
Step-by-step explanation:
Hope this helped have an amazing day!
Someone please help me make an equation for the first question! :)
What is the formula of circumference of a
circle?
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
The formula is C=2πr
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.
Answer:
A. [tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]
Step-by-step explanation:
Required
Determine which system of equation satisfy (-4,2)
To do this, we simply substitute -4 for x and 2 for y in the given functions.
A.
[tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]
[tex]3x + 13y = 14[/tex]
[tex]3(-4) + 13(2) = 14[/tex]
[tex]-12 + 26 = 14[/tex]
[tex]14 = 14[/tex]
[tex]6x + 11y = -2[/tex]
[tex]6(-4) + 11(2) = -2[/tex]
[tex]-24 + 22 = -2[/tex]
[tex]-2 = -2[/tex]
The above shows that the given linear combination has a solution of (-4,2).
Hence, this option answers the question and there is no need to check other options
Answer: the answer is A
Step-by-step explanation:
What is the area of a rectangle with vertices
(-1,-4), (-1,6), (3, 6), and (3,-4)?
16 square units
24 square units
36 square units
40 square units
Answer:
40squared units!
I hope it will be useful.
Answer: 40 square units
Step-by-step explanation:
I took the assignment
6x + 3y = 33
4x + y = 15
What is the percent of change of 25 when decreased to 18?
Answer:
your answer is that it decreases to 7%
Answer:
28% decrease
Step-by-step explanation:
(18−25)|25|×100
=−725×100
=−0.28×100
=−28%change
=28%decrease
The Point Imperial is the highest point of the Grand Canyon and it is 8,800
- feet tall. A professional hiker climbed to the top of one of the rims of the
Grand Canyon that is 348 feet below Point Imperial. The hiker threw a rock
upward from that rim with an initial velocity of 18 ft per second. How
many seconds will it take the rock to hit the ground? Round your answer
to the nearest tenth of a second.
Answer:
1222
Step-by-step explanation:
sorry youve been waiting a minute
matching math game help!
Answer:
dude your math period is way too long
Answer:
dude your math period is way too long