Use quadratic regression to find the equation for the parabola going through these three points (-7,134)(-3, 10)(5,50)
Please help me! Thanks
Answers
Answer:
Step-by-step explanation:
y = ax² + bx + c
a( - 7)² + b( - 7) + c = 134 ⇔ 49a - 7b + c = 134 ......... (1)
a( - 3)² + b( - 3) + c = 10 ⇔ 9a - 3b + c = 10 ......... (2)
a(5)² + b(5) + c = 50 ⇔ 25a + 5b + c = 50 ......... (3)
(1) - (2)
40a - 4b = 124 ⇔ 10a - b = 31 ........... (4)
(3) - (2)
16a + 8b = 40 ⇔ 2a + b = 5 ........... (5)
(4) + (5)
12a = 36 ⇒ a = 3
2(3) + b = 5 ⇒ b = - 1
9(3) - 3( - 1) + c = 10 ⇒ c = - 20
y = 3x² - x - 20
y = [ 3 ] x² + [ - 1 ] x + [ - 20 ]
Related Questions
In the adjoining figure, if XY = XZ and YA = AZ, write
down the relation between XA and YZ.
Answers
Answer:
XAㅗYZ
XA is perpendicular to YZ
HOPE THIS WILL HELP YOU..!
Pls help giving brainleist and 20 points
Answers
Answer:
The first one is B because 5 times 7 is 35 and you put it as a fraction and the second one is B because the answer is 35/16 and if you simplify it the answer would be 2 3/16
Step-by-step explanation:
Henri brought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options.
If the selling price is marked up by 25 percent, the new price will be $10.
If the selling price is marked up by 40 percent, the new price will be $7.50.
If the selling price is marked up by 55 percent, the new price will be $5.50.
If the selling price is marked up by 70 percent, the new price will be $13.60.
If the selling price is marked up by 75 percent, the new price will be $14.
Answers
Answer:
the first forth and fifth answers are correct.
Step-by-step explanation:
8 times 1.25 = 10
8 time 1.70 = 13.60
8 times 1.75 = 14
I Only need to do questions 22 and 24
Answers
Let number of tapes be x and cost be y.
y = 8.50x (this means that cost = 8.50 multiply by number of tapes)
24.
Let number of hours be x and total pay be y).
y = 8x (total pay = number of hours multiply by 8)
In the liner equation shown which variable represent the output values
Y=
MX + b
Answers
Answer:
b=−mx+y
Step-by-step explanation:
Write an equation passing through the point in perpendicular to the given line.
Please solve both!
Thank you!
Answers
Answer:
10. y=-4x+3
12. y=[tex]\frac{1}{2}[/tex]x+3
Step-by-step explanation:
In order for a line to be perpendicular to another, their slopes must be opposite reciprocals.
1. Put the given equations into slope-intercept form. (y=mx+b)
2. Identify the opposite reciprocal of the original equations. (#10: -4 & #12: [tex]\frac{1}{2}[/tex])
3. Plug your given coords and opposite reciprocals into point-slope formula (y-y₁=m(x-x₁)) and simplify the expression to get your equation of the line.
Ricky draws a square . He claims that any rotation about the center of the square that is a multiple of 30 degrees will carry the square onto itself . Which statement best describes Ricky's claim ?
Answers
Answer:
Option (a)
Step-by-step explanation:
This question is incomplete without statements; find the statements as followed,
a). Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.
b). Ricky's claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.
c). Ricky's claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.
d). Ricky's claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.
Square ABCD will map onto itself when point A comes to B, C or D by a rotation about the center E with a multiple of measure of angle AEB.
m∠AEB = 90° [Diagonals of a square intersect each other at 90°]
In simpler words, if square ABCD is rotated 90° or it's multiple about the center E, square will overlap itself.
Therefore, Option (a) is correct.
What is the equation of the line that passes through the points (7,4) and (0,1/2)?
Answers
Answer:
y=1/2x+1/2
Step-by-step explanation:
plot the points
we know the y-intercept is 1/2 because of (0,1/2)
count how many times it goes up and how many times it goes down
then simplify your slope
write in y=mx+b form
a standard six-sided die is rolled. what is the probability that the value of the second die is higher than the first
Answers
Answer:
The probability that the value of the second die is higher than the first
[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]
Step-by-step explanation:
Explanation:-
In a single throw with two dice total number of sums = 6 X 6 = 36
Let 'E' be the event of the second die is higher than the first
Total number of cases
= {( 1,1), (1,2 )( 1,3), (1,4) , (1,5) ,(1,6)
( 2,1), (2,2 )( 2,3), (2,4) , (2,5),(2,6)
( 3,1), (3,2 )( 3,3), (3,4) , (3,5),(3,6)
( 4,1), (4,2 )( 4,3), (4,4) , (4,5),(4,6)
( 5,1), (5,2 )( 5,3), (5,4) , (5,5),(5,6)
( 6,1), (6,2 )( 6,3), (6,4) , (6,5),(6,6)}
The favourable cases
n(E) = {(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} = 15
The probability that the value of the second die is higher than the first
[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]
I really need help plz I dont get this
Answers
Answer:
[tex] (\frac{( {4}^{2} )( {y}^{2} )}{( {2}^{3} )( {x}^{3} )( {x}^{4} )( {y}^{6} )}) ^{2} [/tex]
[tex]( \frac{({2}^{4} )( {y}^{2} )}{ ( {2}^{3} )( {x}^{7} ) ( {y}^{6} )} ) ^{2} [/tex]
So, you can do next by using basic of
Ex.
[tex] {a}^{2} {a}^{4} = {a}^{2 + 4} = {a}^{6} [/tex]
[tex] \frac{ {b}^{5} }{ {b}^{3} } = {b}^{5 - 3} = {b}^{2} [/tex]
shawna is making a $12 per hour. she gets a 6% increase in pay.
ANSWER ASAPPPP PLZZZZ MARKING BRAINLIEST HELPPP
Answers
Answer:
12.72 dollars per hour
Step-by-step explanation:
Her original money is $12 per hour. We know that 6% in a decimal is 0.06. But if we multiply 0.06 and $12, it would get an answer that is decreasing than increasing. So we can get this equation. 12+0.06*12. ( 12 dollars plus 6% of 12 dollars) If we divide by 12, we get: 12( 0.06+1). 0.06+1=1.06. And 1.06*12 is 12.72 dollars per hour now. I hope this helps your question!
Find the value of X. round to the nearest tenth
Answers
There is no equation, what is the equation?
Answer:
what is the equation
Step-by-step explanation:
Liam bought 2 vintage movie posters, 2 rock posters, and 1 rap poster. He applied a $35 gift card to the total purchase and a 1/2-off coupon to the rap poster. Write and evaluate a numerical expression to show how much Liam paid for the posters.
Vintage Movie: $28.50
B Movie: $18.25
Rock: $29.75
Rap: $19.50
Answers
Answer:
the vintage movie posters and the 2 rock posters could be priced the same, $8.
8 x 4 = 32.
the rap poster could be $6, but with the half-off coupon it comes to $3
32 + 3 = 35
assuming the gift card covers the total cost, this reasoning is correct.
Step-by-step explanation:
A town got 2.76 inches of rain during a rainstorm write this number in expanded form
Answers
Answer: 2 + 0.7 + 0.06
Step-by-step explanation:
Expanded form is a method of writing numbers in such a way that the mathematics value of their individual digits would be shown.
Therefore, 2.76 inches in expanded form would be:
= 2 + 0.7 + 0.06
The above shows the units value, tenths value and the hundredths value of the number.
Show the work
1. 11x + 13° + 4x + 17°=180°
Answers
15x + 30=180
Move the constant to the right and change it’s sign
15x = 180 - 30
Collect like terms again
15x = 150
Divide both sides by 15
x = 10
Tyreek Hill is the fastest player in the NFL, running a 40 yar dash in 2.4 seconds. Using the rate, 38 yards for every 4 seconds: How many yards can he run in 12 seconds?
Answers
Answer:
He can run 112 yards in 12 seconds
Step-by-step explanation:
Here, we want to know the number of yards he can run in 12 seconds
From the question, we are told that his running rate is 38 yards in 4 seconds
So the number of yards he can run in 12 seconds will be;
38 * 12/4
= 38 * 3 = 114 yards
Jorge has saved $15.50. Janet saved 1/5 of the amount that Jorge saved. Rob saved 12 times as much of Janet. What is the total saved amount of all three. (please show the answer and how you got it please)
Answers
The total saved amount for Jorge, Janet and Rob is $55.8
Mathematical Expression
Mathematical Expressions are statements that have at least two terms that include numbers, variables, or even both, and are linked by an operator.
How to solve mathematical expression for the given condition?Jorge has saved $ 15.50
Janet's saving is [tex]\frac{1}{5}\times \$15.50[/tex]
That is, Janet has saved [tex]\$3.1[/tex]
Rob's saving is [tex]12\times\$3.1[/tex]
Thus, Rob has saved [tex]\$37.2[/tex]
So, the mathematical expression for the total saved amount of all three is given below.
$15.50 + $3.1 + $37.2 = $55.8
Simplify the above mathematical expression.
Therefore, The total saved amount for Jorge, Janet and Rob is $55.8
Learn more about the mathematical expression here-
https://brainly.com/question/14462529
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PLEASE HELP
Suppose f(x) = x2 and g(x) = 5x2. Which statement best compares the graph of g(x) with the graph of f(x)?
A.
The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.
B.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
C.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.
D.
The graph of g(x) is the graph of f(x) shifted 5 units right.
Answers
Answer:
B. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5
Step-by-step explanation:
It is a quadratic and in the form:
f(x) = a(x-h)^2 + k
In this case a = 5, and if a is greater than 1, then the parabola is vertically stretched. It is not vertically compressed because a is not less than 1.
h and k are irrelevant because there are no horizontal or vertical shifts in the graph.
Therefore, when compared to f(x) = x^2, the graph has only been vertically stretched by a factor of 5.
Answer:
the graph of g(x) is the graph of f(x) vertically stretched by a factor of 5
Step-by-step explanation:
What is the coefficient in the term 7x?
A.0
B.1
C.7
D.x
Answers
Answer:
C. 7
Step-by-step explanation:
The coefficient is the number before the variable.
A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed during June, July, August, and September. On average, how much money was billed during each of those four months? A. $34,750 B. $74,250 C. $139,000 D. $417,000
Answers
On a test a student got 15 problems correct out of a total of 20 problems. What percent did the student get, begin emphasis, incorrect, end emphasis,?
Answers
Answer:
I think what you got is correct
The percentage of incorrect problems is 25%.
Option D is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of problems = 20
Number of correct problems = 15
The number of incorrect problems.
= 20 - 15
= 5
The percentage of incorrect problems.
= 5/20 x 100
= 25%
Thus,
25% were incorrect problems
Learn more about percentages here:
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Given the function f (x) = -2x -5, determine the value of f (-3). Please helpp
Answers
Answer: if you see my picture that the answer for your question
Step-by-step explanation: hope this help
Find the highest common factor (HCF) of 90 and 48.
Answers
Answer:
The answer is 6
Step-by-step explanation:
The highest common factor between the numbers is 6.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two numbers are 90 and 48. The highest common factor will be calculated as,
90 = 2 x 3 x 3 x 5
48= 2x2x2x2x3
The common numbers are 2 x 3 = 6
Therefore, the highest common factor between the numbers is 6.
To know more about the greatest common factor follow
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enter an expression equivalent to
(3x^2+2y^2-3x)-(2x^2+y^2-2x)
using the fewest number of possible terms
Answers
Answer:
[tex]x^{2}+y^{2}-x[/tex]
Step-by-step explanation:
combine like terms:
(3x²+2y²-3x) ₋ (2x²+y²- 2x)
3x² - 2x² = 1x² = x²
2y² - y² = 1y² = y²
(-3x) - (-2x) = -1x = -x
x² + y² -x
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!
The price of a set of headphones that regularly sells for $99 increases by 30%. Write two different expressions that you can use to find the new price.
A. 1.30(99)
B. 99 + 0.30 (99)
C. 1.30 + 99
D.99 - 0.30 (99)
Answers
Answer:
A and B those are the answers
Answer:
A and B
Step-by-step explanation:
Both multiply to become a bigger price
ILL MARK AS BRAINLESS
Answers
5280 times 88 to get 464,640
Solve the following equations
3y-6x=48
y=3x+11
Answers
Answer:
See below
Step-by-step explanation:
a). 3y-6x=48
soln
or, 3xy=48
or, xy=48÷3
or, xy=32,,
b). y=3x+11
soln
or, y=13x
or, xy=13,,
What is the sum of −6
−6
and its opposite?
A. −12
−12
B. −6
−6
C. 0
D. 6
6
Answers
Answer:a
Step-by-step explanation:
what is the least common multiple of 6 8 and 9?
Answers
Answer:9
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Therefore,
LCM(6, 8, 9) = 72
please help me out! find the value of f(-4)
Answers
Answer:
f(-4) = 4
Step-by-step explanation:
We know that f(x) = y.
We also know that f(-4) means that x = -4.
The y value of (-4, y) is 4, therefore... f(-4) = 4.