Answer:
y = (x - 8)/((x + 1)(x + 2))
Step-by-step explanation:
vertical asymptotes are given as at x=-1 and x=-2
Now, vertical assymptotes are values of x when the denominator is zero.
Thus, the function of the denominator can be written as;
(x + 1)(x + 2)
We are also told that x-intercept at (8,0).
Which means that y is zero when x is 8.
Thus, numerator is 8 when y is zero.
Thus, numerator can be expressed as (x - 8)
Thus,the function is now;
y = (x - 8)/((x + 1)(x + 2))
PLS i need help !
Rewrite the equation in vertex form and identify the vertex, the axis of symmetry, and the y-intercept. y=-2x^2+12x-26
Answer:
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept of the function is -26.
Step-by-step explanation:
The vertex form of the second order polynomial is defined by the following expression:
[tex]y-k = C\cdot (x-h)^{2}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h,k[/tex] - Coordinates of the vertex, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless.
Let [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex], then we proceed to present the produre for the determination of the vertex form:
1) [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex] Given
2) [tex]y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex]y = (-1)\cdot (2\cdot x^{2}-12\cdot x +26)[/tex] Distributive property
4) [tex]y = [(-1)\cdot (2)]\cdot (x^{2}-6\cdot x +13)[/tex] Associative and distributive properties
5) [tex]y = (-2)\cdot [(x^{2}-6\cdot x+9)+4][/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
6) [tex]y = (-2) \cdot [(x-3)^{2}+4][/tex] Perfect square trinomial
7) [tex]y = (-2)\cdot (x-3)^{2}+4\cdot (-2)[/tex] Distributive property
8) [tex]y = (-2)\cdot (x-3)^{2}+(-8)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
9) [tex]y +8= (-2)\cdot (x-3)^{2}[/tex] Compatibility of addition/Existence of the additive inverse/Modulative property/Result.
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept is the value of the polynomial when [tex]x = 0[/tex], then, the value is:
[tex]y = -2\cdot (0)^{2}+12\cdot (0) -26[/tex]
[tex]y = -26[/tex]
The y-intercept of the function is -26.
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
Simplify expressions
Show and explain how to simplify 4x+2y+9x
Answer: Hope that helps!
=13x+2y
Step-by-step explanation:
Combine Like Terms:
=4x+2y+9x
=(4x+9x)+(2y)
=13x+2y
Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency
3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5
The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.
We need to complete the grouped frequency distribution for the data.
What is the grouped frequency distribution?In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.
Now, the frequency distribution for the given intervals is as follows:
That is, for intervals 1 to 5 the frequency is 2.
For intervals 5 to 10 the frequency is 4.
For intervals 11 to 15 the frequency is 2.
For intervals 16 to 20 the frequency is 2.
Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
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PLSSS HELPPP ASAPSSSSSSSSS
It takes 1 4/5 minutes to fill an empty aquarium to a depth of 3/8 meters. What is the unit rate in minutes per meter? Write your answer as a fraction or a mixed number in simplest form.
Answer:
The filling speed of the aquarium is 1/5 meters per minute.
Step-by-step explanation:
Since it takes 1 4/5 minutes to fill an empty aquarium to a depth of 3/8 meters, to determine the unit rate in meters per minute, the following calculation must be performed:
4/5 = 0.8
3/8 = 0.375
1.8 = 0.375
1 = X
(1 x 0.375) / 1.8 = X
0.20 = X
0.20 = 1/5
Therefore, the filling speed of the aquarium is 1/5 meters per minute.
How are the angles of an equilateral triangle related?
Please explain so a smol brained person can understand
I will GIVE BRAILYEST
Mario has 20 yards to mow this week. By Wednesday, he had mowed 50%or the yards. How many yards had he mowed by Wednesday?
2
5
10
15
Answer: 10 yards
Step-by-step explanation: 50% = 1/2
1/2 x 20 = 10
15 yeards mowed by Wednesday
expand the linear expression 4(10x-4 )
Answer:
40x- 16
Step-by-step explanation:
Because 4 times 10x is 40x and 4 times 4 is 16 so the answer is 40x-16
Answer:
40x-16
Step-by-step explanation:
a bowling alley charges $4.00 per game and will rent a pair of shoes for $2.00 for any number of games. The bowling alley has an earnings goal of $400 for the day. write the linear equation.
Answer:
We need 130 games to reach the goal
Step-by-step explanation:
3) Luan is borrowing $5000 to buy Sacramento Kings season tickets
for her family. She is planning to pay it back over three years.
She can borrow the money from a finance company at a 6.5% add-on
interest rate for three years or she can borrow it instead from
her credit union, making 36 monthly payments of $164.50. Find the
total amount Luan will have to pay back with each option and the
APR (to the nearest half percent) of each loan.
Answer:
16000
Step-by-step explanation:
it works bebeaoc usfztbee jdxeevehe ue
what the hell is 5+5
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: A(-1,2) B(-1,5) C(-3,5) D(-3,2) A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2)
What transformation did Kim perform to create rectangle A'B'C'D? (5 points)
A)Reflection across the y-axis
B)Rotation of 270 degrees counterclockwise about the origin
C)Reflection across the x-axis
D)Rotation of 90 degrees counterclockwise about the origin
Answer:
C) Reflection across the x-axis.
Step-by-step explanation:
From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:
[tex]P'(x,y) = (x, -y)[/tex] (1)
If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:
[tex]A'(x,y) = (-1, -2)[/tex]
[tex]B'(x,y) = (-1,-5)[/tex]
[tex]C'(x,y) = (-3,-5)[/tex]
[tex]D'(x,y) = (-3,-2)[/tex]
In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.
This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.
Given:
Transform rectangle ABCD to rectangle A'B'C'D',
The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).
The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).
We need to determined the transformation that Kim perform to create rectangle A'B'C'D.
From Linear Algebra we define the reflection across the x-axis is for,
P(x,y) = (x,y)
P(x,y) = (x,-y) .....(1)
It is given that A(-1,2), B(-1,5), C(-3,5) and D(-3,2).
Therefore from equation (1) above point becomes,
A'(x,y) = (-1,-2)
B'(x,y) =(-1,-5)
C'(x,y) =(-3,-5)
D'(x,y) =(-3,-2)
Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.
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pamela ran 7/10 miles on tuesday and 3/8 mile on thursday. How much farther did she sun on tuesday ?
Answer:
she ran 0.325 more on tuesday then tursday
Step-by-step explanation:
because i know
There are 2400 students in a school 45% of them are boys how many boys are in the school
Show your work in the answer
Answer:
1080 boys
Step-by-step explanation:
2400 x 0.45 = 1080
16. What is the length of minor arc CD?
42
A
d = 30 ft
A: 7.91 feet
B: 8.32 feet
C: 10.99 feet
D: 11.89 feet
Your answer will be C
I need this fast please
Answer: It is B/Spinner 2
What the equivalent (2×)(5y)(5y)
Answer:
50xy
Step-by-step explanation:
(2x)(5y)(5y)
~Simplify
(2x)(25y)
~Multiply
50xy
Best of Luck!
say a number between 1 and 10 if u guss right u get brainlist
if 1 euro is 1.07$ us dollars then what is 4.00 us dollars in euros
please help
Answer:
3.26 Euro I believe.
Step-by-step explanation:
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
write the equation of the parallel line that passes through (0,-3)
Answer:
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)
Step-by-step explanation:
Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.
we can use the formula to find the equation of the line:
y-y1 = m (x-x1)
y1 - y coordinate of a point on the line
x1 - x coordinate of the same point on the line
m - slope
and we get:
y+3 = 1.2 (x-0)
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11Whats the answer to part b and above?
Answer:
4/5 would be at the 8th line, and 3/10 would be on the 3rd
Step-by-step explanation:
Choose the diagram that correctly represents the ordered pairs below.
(1,4), (4, -1), (2,3), (-3, 1), (0,-5)
Answer:
Step-by-step explanation:
Is there a picture
Definition of dilation in geometry
Answer:
Geometry
Step-by-step explanation:
а) 6x = 7y
Can someone help
Answer:
36 x 2 - 49 y 2
Step-by-step explanation:
6 x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)
Write an integer for each situation
1. A deposit of $40
2. A loss of 25 pounds
Integers are numbers that can be written as positive values or negative values.
A deposit of $40 is written as 40 as an integer.
A loss of 25 pounds is written as -25 as an integer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3 - 4 x 5 + 4 is an expression.
We have,
Integers are numbers that can be written as positive values or negative values.
1. A deposit of $40
Deposits mean adding more money into the account so it will be a positive value.
This can be written as an integer as,
= 40
2. A loss of 25 pounds
Loss means subtracting from the total pounds.
This can be written as an integer as,
= -25
We see that,
40 and -25 are integers.
Thus,
A deposit of $40 is written as 40 as an integer.
A loss of 25 pounds is written as -25 as an integer.
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Your school carnival charges $2 for admission and $.50 for
each game. You go to the carnival with $5.50. Write and solve
an inequality that represents the possible number of games
you can play. What is the maximum number of games you can
play?
Answer:
you give $2 for admission so that is $3.50 now you can ride 2 games per ride and the total will be riding 7 games
A cell phone manufacturer samples cell phones from the assembly to test. She noticed that the number of faulty cell phones in a production run is usually small and that the quality of one day’s run seems to have no bearing on the next day.
a) What model might you use to model the number of faulty cell phones produced in one day?
(write a name of this probability model)
An analysts estimates the mean number of defective cell phones to be 2 per day.
b) What is the probability of having a day with no faulty cell phone in a production run?
(write to 3 decimal places)
c) What is the probability of having a day with more then 3 faulty cell phones in a production run?
probability:
Answer:
b
Step-by-step explanation:
probability can't be defined
how to solve this? im not sure if i get the correct answer
Answer:
k = 3.5
Step-by-step explanation:
Area of a rectangle = length × width
Area of the bigger triangle - Area of the smaller triangle = 35 cm²
Thus:
(2k + 6)(k) - (3)(k) = 35 cm²
2k² + 6k - 3k = 35
2k² + 3k - 35 = 0
Factorise
2k² + 10k - 7k - 35 = 0
2k(k + 5) -7(k + 5) = 0
(2k - 7)(k + 5) = 0
2k - 7 = 0
2k = 7
k = 3.5
Or
k + 5 = 0
k = -5
The value of k would be the positive number which is 3.5.