Given:
The three points are (-7,134), (-3,10) and (5,50).
To find:
The equation of parabola using quadratic regression.
Solution:
The general equation of quadratic regression is
[tex]y=ax^2+bx+c[/tex] ...(i)
The three points are (-7,134), (-3,10) and (5,50).
Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get
[tex]y=3x^2+(-1)x+(-2)[/tex]
[tex]y=3x^2-x-2[/tex]
Therefore, the equation of parabola is [tex]y=3x^2-x-2[/tex] and the missing values in the given equation are 3, -1 and -20.
Find the common ratio
6.) -1, -6, -36, -216,
A.) r=5
B.) r=6
C.) r=-6
D.) r=4
Answer:
6
Step-by-step explanation:
try mulyipling each sequence by 6
(picture included) brainliest
Find the component form of the vector that translates P(4,5) to p'.
P'(-3,7)
CAN SOMEONE PLEASE HELP
3rd time asking this question no one is helping right
Answer:
Component form : (-7 , 2)
Step-by-step explanation:
P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)
4 + x = -3
x = -3 - 4
x = -7
5 + y = 7
y = 7 - 5
y = 2
Vector form : -7i + 2j
Component form : (-7 , 2)
which is an equation for the line passing through the points (-3,3) and (6,9)
Answer:
y=2/3x +5
hope this helps
Answer:
[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
Explanation
[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]
[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]
[tex] \implies \: 9y - 27 = 6x + 18[/tex]
[tex] \implies \: 6x - 9y + 45=0[/tex]
[tex] \implies\:2x-3y+15=0[/tex]
Hence the equation of the line is
[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
help please i’m stuck lol
Answer:
The answer for this is x=-5
Answer:
x=-5
Step-by-step explanation:
-4x+1=21
move the 1 to the right side and subract it so it will turn into -4x=20
divide -4 to get the x by itself and then you will get x=20/-4 this will now divide and be x=-5
when would a transformation NOT be considered rigid?
Answer:
when the plant at the end dies
need helpppp i have no idea what to do
Answer:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Step-by-step explanation:
We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]
where m is slope.
And check
a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]
b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]
Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]
Already in slope-intercept form
Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]
Equation for Line 2: [tex]6x-8y=-6[/tex]
Converting into slope-intercept form:
[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]
Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Equation for Line 3: [tex]-4y=3x+7[/tex]
Converting into slope-intercept form:
[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]
Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Now, finding answers
Line 1 and Line 2
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Both lines are perpendicular because they have opposite reciprocal slopes
Line 1 and Line 3
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
Line 2 and Line 3
Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
The answers are:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Please help. This is geometry.
Answer:
ASA
Step-by-step explanation:
We know angle KLM=angle KLNWe know KL=KLWe know angle MKL=angle NKLWrite the slope-intercept form of the equation of the line with slope= -3 that passes through the point (0, -9)
Answer:
y=-3x-9
Step-by-step explanation:
Which of the following sets include all rational numbers?
It's the Second one and the third one
Step-by-step explanation:
Pie is irrational so you can easily cross it off and it leads to to the second one and the third one
PLZZPLZZ ANSWERALL THE QUESTIONS I CANT CELEBRATE CHRISTMAS IF I DONT FINISH PLZ HELP PLZZ LOOK AT THE PIC plzz
Answer:
17: Slope = -5
18: = 1/3
19: = -1/5
20: = Does not exist
21: = 1/4
22: =-2/3
Step-by-step explanation:
Please follow and mark me braibliest
happy Christmas
Translate the phrase into an algebraic expression.
The product of y and 4.
Step-by-step explanation:
Product is multiplication:
4y
Hunter owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $6.50. Yesterday Hunter made a total of $520 in revenue from selling a total of 120 tacos and burritos. Graphically solve a system of equations in order to determine the number of tacos sold, x,x, and the number of burritos sold, yy.
what are the two equations?
Answer:
x=80 y=40
Step-by-step explanation:
Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down
Answer:
its c
Step-by-step explanation:
took the test
Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).
Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7), C'(6.-14) , D'(1.-11)
Find out more at: https://brainly.com/question/11707700
which is the graph of x-y=1
PLEASE HELP FAST ILL GIVE BRAINLIST MAKE SURE YOU READ IT BEFORE YOU ANSWER ITS QUESTION 18
Answer:
D. y=3x+15
Step-by-step explanation:
find the slope
[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]
y=mx+b
plug in known values
3=3(-4) + b
b=15
y=3x+15
NEED HELP ASAP!
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. TankB
contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how
many minutes will the tanks contain the same amount of water? How much water will
that be?
9514 1404 393
Answer:
5 minutes; 60 gallons
Step-by-step explanation:
The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...
y = 35 +5x . . . . . . where y is gallons, and x is minutes
The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...
y = 100 -8x
We want to find the values of x and y such that both are the same for both tanks.
35 +5x = y = 100 -8x
13x = 65 . . . . . . . . add 8x-65 to both sides of the equation
x = 5
y = 100 -8·5 = 60
Both tanks will hold 60 gallons after 5 minutes.
H E L P PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
138
Step-by-step explanation:
just plug in the numbers:
4*6^2 - 36/6
use pemdas
4*36 - 6 = 144-6 = 138
Answer: The answer is 138.
Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.
Please help 11 points worth
Answer:
positive
cuz i just know :)
good luck
Which ratio is equivalent to the ratio 20 to 35? 5 to 7 7 to 5 8 to 14 14 to 8
Answer: it’s 8 to 14 number c
Step-by-step explanation:
Let me know if I’m wrong
The ratio equivalent to 20 to 35 is 8 to 14.
Option C is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
20 to 35
This can be written as,
= 20/35
= 5 x 4 / 5 x 7
= 4/7
Now,
5 to 7 = 5/7
7 to 5 = 7/5
8 to 14 = 8/14 = 4/7
14 to 8 = 14/8 = 7/4
Thus,
20 to 35 is the same as 8 to 14.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
Plsssss helppp meeeeee
Answer:
First choice, 1/3
Step-by-step explanation:
If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3
The answer is 1/3.
- emmatannerfns
Compare the two linear functions.Select which has the greater rate of change and which has the greater initial value.
Answer:
Function 1 is Greater Rate of change and Function 2 is Greater inital value
Step-by-step explanation:
I know I have that question
Answer:
Function 1 = Greater Rate of change
Function 2 = is Greater initial value
Step-by-step explanation:
Can someone help me please
Answer:
17 inches
Step-by-step explanation:
Solve the following problem: Find x, y
Answer:
x=? y=?
Step-by-step explanation:
these two triangles are similar so since the bottom side was 8 and became 10 it added 2 so therefore if you add 2 to the 5 and 7 you get
5+2=7
7+2=9
The value of 'x' is 5/4 and the value of 'y' is 7/4 and this can be determined by using similar triangle properties.
Given :
Two triangles are given in the figure.
The following steps can be used in order to determine the value of 'x' and 'y':
Step 1 - According to the given figure, both the triangles are similar.
Step 2 - So, the value of 'x' and 'y' can be calculated as:
[tex]\dfrac{5}{5+x}=\dfrac{7}{7+y}=\dfrac{8}{10}[/tex] --- (1)
Step 3 - Now, solve the above equation for 'x'.
[tex]\begin{aligned}\\{\dfrac{5}{5+x}&=\dfrac{8}{10}\\50&=40+8x\\x&=\dfrac{5}{4}\\\end{aligned}[/tex]
Step 4 - Now, solve the equation (1) for 'y'.
[tex]\begin{aligned}\\{\dfrac{7}{7+y}&=\dfrac{8}{10}\\70&=56+8y\\y&=\dfrac{7}{4}\\\end{aligned}[/tex]
The value of 'x' is 5/4 and the value of 'y' is 7/4.
For more information, refer to the link given below:
https://brainly.com/question/10652623
May someone help me out on this question?
Answer:
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Step-by-step explanation:
From the graph attached,
Equation of line (1),
y = 2
Where x < 0
Let the equation of line (2) is,
y = mx + b
y-intercept 'b' = 0 [line (2) passes through origin]
Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Therefore, equation of line (2) will be,
y = x
where 0 ≤ x < 3
Equation of line (3) will be,
y = 3
Where x ≥ 3
Therefore, piecewise linear function will be,
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Esme wants to make a rectangular pen for her chickens. She has 140 feet of fencing available to use. She wants to put the pen against the side of her barn. In other words, one side of the pen does not need fencing. Determine the maximum possible area she can create.
Answer:
2450 square feet
Step-by-step explanation:
We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.
The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.
The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $80.00
Markdown: 33%
Answer:
24$
Step-by-step explanation:
HELPPPPPP PLEASEEEEE !!!!!
Answer:
m∠DBC is 43°
Step-by-step explanation:
Let us solve the question
∵ D is in the interior of ∠ABC
→ That means D divides ∠ABC into two angles ABD and DBC
∴ m∠ABD + m∠DBC = m∠ABC
∵ m∠ABD = (3x + 5)°
∵ m∠DBC = (5x - 7)°
∵ m∠ABC = 78°
→ Substitute them in the equation above
∴ 3x + 5 + 5x - 7 = 78
→ Add the like terms in the left side
∵ (3x + 5x) + (5 + -7) = 78
∴ 8x + -2 = 78
∴ 8x - 2 = 78
→ Add 2 to both sides
∴ 8x -2 + 2 = 78 + 2
∴ 8x = 80
→ Divide both sides by 8
∴ x = 10
→ To find m∠DBC, substitute x by 10 in its measure
∵ m∠DBC = 5(10) - 7
∴ m∠DBC = 50 - 7
∴ m∠DBC = 43°
(6-3i) - (3-4i)
Subtract
The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?
Answer:
60 inches²
Step-by-step explanation:
Unit test