The obtained quadratic function has the same stretch factor as the given function and contains the given point is y = 3x² + 6x - 12
What is defined as the quadratic function?A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function.
Because a quadratic function is indeed a parabolic curve, we use the standard parabola equation.
y = a(x - h)² + k
where a = stretch factor,
h = x-coordinate of vertex and
k = y-coordinate of vertex.
The quadratic function incorporates the point (1, -3) and has the vertex x-coordinate at x = -1. h = -1 is the answer.
It also has the stretch factor of f(x) = 3x². So, a = 3.
Thus, y = a(x - h)² + k
y = 3(x - (-1))² + k
y = 3(x + 1)² + k
Now, because the quadratic function proceeds through (1, -3), we have
y = 3(x + 1)² + k
-3 = 3(1 + 1)² + k
-3 = 3(2)² + k
-3 = 3(4) + k
-3 = 12 + k
k = -3 - 12
k = -15
Similarly, find the value for y.
y = 3(x + 1)² + k
y = 3(x + 1)² - 15
y = 3(x² + 2x + 1) - 15
y = 3x² + 6x + 3 - 15
y = 3x² + 6x - 12
Therefore, the equation of the quadratic function that contains the given point and has the same stretch factor as the given function is y = 3x² + 6x - 12.
To learn more about quadratic functions, here:
brainly.com/question/10606041
#SPJ9
The complete question is-
Write the equation of the quadratic function that contains the given point and has the same stretch factor as the given function.
Contains (1, −3) and has the same stretch factor as
f(x) = 3x².
Vertex has x-coordinate of −1.
a sample of 58 items is selected. The mean of the sample is determined to be 36. The associated number of degrees of freedom for reading the t value is:
This question is incomplete, the complete question is;
In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 58 items is selected. The mean of the sample is determined to be 36. The associated number of degrees of freedom for reading the t value is :
a. 35.
b. 57.
c. 36.
d. 58.
Answer: Option b. 57 is the correct answer.
Step-by-step explanation:
Given that;
sample size n = 58
sample mean x" = 36
degrees of freedom for reading the t value is = ?
we know that;
Degree of freedom df = n - 1
where n is the sample size
so we substitute
Degree of freedom df = 58 - 1
Degree of freedom df = 57
Therefore Option b. 57 is the correct answer.
Seven more than three times a number is twenty-eight.
Write the equation for this problem and solve it.
Answer:
7+3n=28 and the answer would be n=7
Step-by-step explanation:
7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.
WILL MARK BRAINLIEST!!!
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.
A. +1.2
B. -1.2
C. +0.15
D. -0.15
Answer:
option D.
Step-by-step explanation:
average rate of change in steel production over the eight days=-0.15 tons per day
Step-by-step explanation:
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.
Production is dropped by 1.2 tons, so its negative
Average rate of change = Change in production / number of days
Average rate of change = -1.2/ 8= -0.15
so sorry -0.15
Please help I will mark brainliest
Whats the output value for y= 3x+5
1.the output value is x or y ?
the output would be y because it is by itself on the left side of the equation symbol.
Simplify each expression.
(3m^1/2•27n^1/4)^4
Answer:
43046721/4096
m4n4
Step-by-step explanation:
Please help me please
Answer:
Q1. [tex](-\frac{3}{2},0)[/tex]
Q2. (-16, 0)
Step-by-step explanation:
The midpoint of a line segment is given by the formula:
[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]
In the formula, [tex](x_1,y_1)[/tex] is the first endpoint while [tex](x_2,y_2)[/tex] is the second endpoint of the line segment.
__________
Q1. Substitute the given endpoints into the formula:
Midpoint
[tex]=(\frac{-5+2}{2} ,\frac{5-5}{2} )[/tex]
[tex]=(\frac{-3}{2} ,\frac{0}{2} )[/tex]
[tex]= \bf{(-\frac{3}{2} ,0)}[/tex]
__________
Q2. Let the other endpoint be (x, y).
Substitute the given midpoint and one endpoint:
(-6, 4)=[tex](\frac{x+4}{2} ,\frac{y+8}{2} )[/tex]
Comparing the x-coordinate:
[tex]\frac{x+4}{2} =-6[/tex]
Multiply both sides by 2:
x +4= -12
Subtract 4 from both sides:
x= -12 -4
x= -16
Comparing the y-coordinate:
[tex]\frac{y+8}{2} =4[/tex]
Multiply both sides by 2:
y +8= 8
Subtract 8 on both sides:
y= 8 -8
y= 0
The coordinates of the other endpoint is thus (-16, 0).
__________
For more questions on midpoint, check out: https://brainly.com/question/17247547
Step-by-step explanation:
your own work, please ...
my own work is
1.
the midpoint between 2 points (x1, y1) and (x2, y2) is
((x1 + x2)/2, (y1 + y2)/2)
so, our midpoint is
((-5 + 2)/2, (5 + -5)/2) = (-3/2, 0/2) = (-3/2, 0)
2.
we have
((x1 + 4)/2, (y1 + 8)/2) = (-6, 4)
so,
(x1 + 4)/2 = -6
x1 + 4 = -12
x1 = -16
(y1 + 8)/2 = 4
y1 + 8 = 8
y1 = 0
so, the other endpoint is (-16, 0).
In the currency pair USD/CAN, USD is what currency?
Solve.
³+y+z
3x-2y+22-2
−2x−y+3z − −4
Enter your answer, in the form (z,y,2).
6
Answer:
(2, -6, 1)
Step-by-step explanation:
Multiplying the first equation by 2 yields 4x+2y-2z = -6.
Adding this to the second equation, we get 9x=18, and thus x=2.
From the third equation, we know z=1.
From the first equation, it follows that y = -6.
Sumbody kome in clutch for me
In the attachment count the shaded, and the total amount make it to a fraction, and then simplify to make it to a percentage
Answer:
30/75 2/5
Step-by-step explanation:
there are 30 shaded squares, and a total of 75 squares. Therefore the fraction is 30/75. This can be simplified to 2/5 if both sides are divided by fifteen.
To make a percentage, simply divide 2 by 5 which equals 0.4 = 40%
PLEASE HELP ME FAST!!! THIS IS DUE TODAY I JUST NEED TO GRAPH THE EQUATION
Answer: Put the problem into Desmos Graphing Calculator
Step-by-step explanation:
Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.
Answer:
(39,000 + 3t = 216000.) t = 59000
Step-by-step explanation:
(How to find t) First, subtract 39000 from 216000. Divide that by 3. Your answer is 59000.
If sin theta= 3/4and angle A is in Quadrant I, what is the exact value of tan 2theta in
simplest radical form?
Answer:
-6[tex]\sqrt{7}[/tex] /434
Step-by-step explanation:
2(3 - 8y) =
What is the anwser:
Answer:
2(3 -8y)
6 - 16y
i can't go any further
Which equations would you use the subtraction property of equality to solve?
Check all that apply.
O 5y=20
O76=d+4
Ox-3=17
Ob-13=26
Oh+2=54
Dz+9=2
When building a house, the number of days required to build is inversely
proportional to with the number of workers. One house was built in 56 days by 11
workers. How many days would it take to build a similar house with 28 workers?
Answer:
118?
Step-by-step explanation:
What is an equation of the line that passes through the points (-3, 3)
and (-6, 2)? Put your answer in fully reduced form.
Answer:
y=[tex]\frac{1}{3}[/tex]x +4
Step-by-step explanation:
!!!HELP ME HELP PLSSSSSSS!!!!!!!!!!
What is the measure of angle x?
Answer:
65
Step-by-step explanation:
Im to lazy to do the math
please help do this am struggle
Answer:that's hard
Step-by-step explanation:
Anyone know the answer ?
Answer:
The area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Step-by-step explanation:
Given
height or length = l = 6x³width = w = 3x³+8x²+xWe know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
[tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]
[tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]
[tex]=18x^6+48x^5+6x^4[/tex]
Thus, the area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Question 6
14.28 pts
A vacation home in Orlando, Florida, rents for $130 per day. The function (x) = 130x gives the cost of renting the
home for x days. What is the reasonable range of the function in this context?
The reasonable range of the given function is given by {130, 260, 390, 520, .......}.
What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range simply refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
How to determine the reasonable range of the given function?In order to determine the reasonable range of the given function, we would create an input and output table to model the relationship between the range and domain as follows:
x 130x y___
1 130(1) 130
2 130(2) 260
3 130(3) 390
4 130(4) 520
Therefore, the reasonable range of the given function is given by {130, 260, 390, 520, .......}.
Read more on reasonable range here: https://brainly.com/question/17319601
#SPJ1
Which of the tables represents a function? (5 points)
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Answer:
Step-by-step explanation :The input-output table is able to “depict the relationship between different sectors of the national economy, and the structural connection of production and final demand in a consistent manner” (KSH, 2005, p. 5). A basic requirement of the table is symmetry, which means that sectoral output and use have to be equal.
im not sure though hope this kinda helps
suppose sin(x) = -3/5 and cos(x) < 0. what is the value of cos (2x)?
Answer:
7/25
Step-by-step explanation:
Answer is C
F
I
7
+
F
T
т
I'
T
T
dows (bd badyan (bred) (badjabrudny (band) (b-ndaband bad bad bvd/ 6
-79
PLEASE ANSWER FAST I GIVE BRAINLIEST
Movie a costs 4 dollars
Movie b costs 5 dollars
Movie theater got 200 dollars and sold 47 tickets
How many tickets did movie a sell
Answer:
ticket for movie A = 35
ticket for movie B = 12
Step-by-step explanation:
Let A= is ticket for movie A
Let A= is ticket for movie B
We have A + B = 47 (1)
4A + 5B = 200 (2)
From (1) multiply 5 in both side 5A + 5B = 47(5)= 235
4A + 5B = 200
So A = 35
B= 47-35 = 12
I hope that help..
A triangular plot of land has sides of lengths 420 feet, 330 feet, and 180 feet. Approximate the smallest angle between the sides. The choices are rounded to the nearest degree.
A. 30 degree
B. 27 degree
C. 22 degree
D. 24 degree
Answer:
D. 24 degree
Step-by-step explanation:
Sides of the triangle are
a = 330 ft
b = 180 ft
c = 420 ft
From cosine rule we have
[tex]\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}[/tex]
[tex]\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}[/tex]
[tex]\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}[/tex]
The smallest angle in the triangle is [tex]\angle B=24.17^{\circ}[/tex].
3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?
Answer:
hope this helps
Step-by-step explanation:
3+x=x²+3x
Simply the equations.
= x+3=x²+3x
Subtract x²+3x from both sides.
x+3−(x²+3x)=x2+3x−(x²+3x)
−x2−2x+3=0
Factor left side of equation.
(−x+1)(x+3)=0
−x+1=0 or x+3=0
Answer:
x=1 or x=−3
which expression represnts the product of 2xy and 3xy+5y-xy^2
Answer:
You distribute the 2xy and get
2xy(3xy + 5y - xy^2) = 6(x^2)(y^2) + 10xy^2 - 2(x^2)(y^3)
I need help with an equation for this problem
Answer:
x ≤ 9
Step-by-step explanation: