*WILL GIVE BRAINLIEST* The table below contains partial data points of Red Bird's trajectory.
Answers
Horizontal distance traveled is 12unit, Equation in standard form is y = -4x² + 120x - 680 and Equation in vertex form is y = -4(x - 15)² + 220
Horizontal Distance Traveled
To find the horizontal distance traveled by Red Bird, we need to calculate the difference between the largest and smallest values of the X-axis data points. In this case, the horizontal distance traveled is:
Horizontal Distance Traveled = Largest X value - Smallest X value
= 17 - 5
= 12 units
The horizontal distance traveled by Red Bird is 12 units.
Equation in Standard Form
To find the equation in standard form, we need to determine the equation of a quadratic function that fits the given data points. Since we have more than three data points, we can use a quadratic regression to find the equation.
Using a regression tool or mathematical software, the equation in standard form for the given data points is:
y = -4x² + 120x - 680
Equation in Vertex Form
To find the equation in vertex form, we can convert the equation from standard form to vertex form by completing the square. The vertex form of a quadratic equation is given by:
y = a(x - h)² + k
To convert the equation to vertex form, we need to rewrite it by completing the square. The steps are as follows:
y = -4x² + 120x - 680
First, factor out the common coefficient -4:
y = -4(x² - 30x + 170)
To complete the square, we need to add and subtract the square of half the coefficient of x, which is (30/2)² = 225:
y = -4(x² - 30x + 225 - 225 + 170)
Now, rewrite the equation by grouping:
y = -4((x - 15)² - 55)
y = -4(x - 15)² + 220
The equation in vertex form is:
y = -4(x - 15)² + 220
So, the equation in vertex form for the given data points is y = -4(x - 15)² + 220.
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Related Questions
Work out the perimeter of the shaded shape.
3cm
8cm
5cm
7cm
The diagram is not drawn to scale.
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Answer:
23 because ya
Step-by-step explanation:
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if f(x) = 4x²-2 then f(-3) is
Answers
Step-by-step explanation:
We are going to plug -3 into the equation of f(x) = 4x²-2.
f(-3) = 4(-3)²-2
f(-3)=36-2
f(-3)=34
The answer to this question is 34.
I hope this helps!! :)
is this true or false? please help
Answers
Answer:
true jufhjjzjsjjajajw
The point (-2,-3) is rotated 180 degrees counterclockwise about the origin. What is the y-coordinate of the resulting image
Answers
The direction of rotation is not relevant as going clockwise results in the same location.
Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses: : : where is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class. The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028. What can we conclude
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The conclusion is that since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
What is a null hypothesis?A null hypothesis is a hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling error.
Here, the effect of a one-day SAT prep class at a 5% level of significance was assessed. Since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.
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Need help with this
Answers
n = 66
Step-by-step explanation:
you can make a proportion 3/99 = 2/x
[tex] \frac{3}{99} = \frac{2}{x} [/tex]
99 * 2= 198
3 * x = 3x
so the equation would be 198 = 3x
than do 198 ÷ 3 on ur calculator
so x (or n in this context) would equal 66
Simplify the expression (10 + 3i)(10 - 3i).
Answers
Answer:
109
Step-by-step explanation:
[tex]\textbf{Assuming}~ i ~\textbf{as the imaginary unit, where}~ i = \sqrt{-1}~ \textbf{and}~ i^2 = -1\\\\\textbf{Given that,}\\\\~~~(10+3i)(10-3i)\\\\=10^2 -(3i)^2~~~~~~~~~~;\textbf{Difference of two squares} ~a^2 -b^2 = (a+b)(a-b)\\\\=100-9i^2\\\\=100-9(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;{i^2 = -1}\\\\=100+9\\\\=109[/tex]
[tex](a-b)(a+b)=a^2-b^2[/tex]
Therefore
[tex](10 + 3i)(10 - 3i)=100-9i^2[/tex]
How many units is -14 away from 0
Answers
Answer:
14
Step-by-step explanation:
|-14|=14
Solve the inequality.
−13x+10>17
Which inequality represents the solutions to this inequality?
a) x<7x<7
b) x>−21x>−21
c) x<−21x<−21
d) x>7x>7
Answers
The solution to inequality is less than the negative of 21. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
−(1/3)x + 10 > 17
Then the solution to the inequality will be
−(1/3)x + 10 > 17
−(1/3)x > 17− 10
−(1/3)x > 7
When the sign is changed then the equality sign also changed.
(1/3)x < −7
x < − 21
The value of x is less than the negative of 21.
Thus, the correct option is C.
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help please dont know how to do this
Answers
If tan theta = -3/4 and theta is in Quadrant IV, cos2theta =, and tan2theta =
Answers
Step-by-step explanation:
please mark me as brainlest
A cashier earns $7 an hour. if x is the number of hours worked, which function represents the cashier’s earnings? y = 7x y = x superscript 7 y = startfraction 7 over x endfraction y = 7
Answers
Answer:
y=7x
Step-by-step explanation:
The job pays $7 per 1 hour so to find out how much money you get for x hours, you would multiply the hourly rate ($7) by the amount of hours (x)
Answer:
y=7x
Step-by-step explanation:
edge review 2022
Help me with this please
Answers
Answer:
See below
Step-by-step explanation:
1 IS a constant
9x IS a factor
9x is NOT a coefficient ( '9' is a coefficient)
yes it is a sum of three terms
9x and 1 are NOT 'like' terms
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola
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Answer:
The vertex of the parabola is (5, -4).
Hope this helps!
can someone please answer this fast! thanks
Answers
Answer:
The choice C.
[tex] {x}^{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = \frac{ {x}^{3} }{ {x}^{ \frac{1}{2} } } = {x}^{3} \times {x}^{ - \frac{1}{2} } \\ = {x}^{3 \times - \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Or ;
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = {x}^{2} \sqrt{x} = {x}^{2} \times {x}^{ \frac{1}{2} } \\ = {x}^{2 + \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
How do I solve for y on this?
Answers
(4x-6)° and (x+6y)° are both 90° because they are perpendicular, so:
4x-6= 90
4x= 96
x= 24
x+6y=90
24+6y=90
6y=66
y=11
Suppose the length and the width of the sandbox are doubled.
Answers
The percentage change in perimeter is 100%.
The percentage change in area is 300%
How to find perimeter and area?The perimeter of the sandbox = 2l + 2w
where
l = lengthw = widthTherefore,
perimeter = 2(10) + 2(6)
perimeter = 20 + 12 = 32 ft
The area of the sand box = lw
area = 10 × 6 = 60 ft²
If the length and width are doubled,
length = 2(10) = 20 ft
width = 2(6) = 12 ft
hence,
perimeter = 2(20) + 2(12) = 40 + 24 = 64 ft
area = 12 × 20 = 240 ft²
Therefore,
percentage change in perimeter = 64 - 32 / 32 × 100 = 100%
percentage change in area = 240 - 60 / 60 × 100 = 18000 / 60 = 300%
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Rewrite using exponential notation \root(6)((4\pi )^(3))
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[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}[/tex]
Five dogs were running in a race. Bandit completed the race in 10 seconds after Sergeant and 30 seconds before Sally. Smokey completed the race 10 seconds before Sally and 25 seconds after Tobie. Which list correctly shows the dogs from first to last place?
A B C D
Answers
Answer:
Sergeant, Tobie, Bandit, Smokey, Sally
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A membership at a yoga studio costs $35 per month.
Write an equation for the cost of the membership,that you pay if you keep your membership for months.
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Answer:
35×(m)=c
Step-by-step explanation:
m=months
c=cost
What is the solution to this system of equations?
Answers
Answer:
C
Step-by-step explanation:
C. x=7, y=5
In a group of friends were to eat 13 candies, there would be 8 candies left. if each friend were to eat 15 candies, all the candies would be gone. how many friends are there?
Answers
Answer:
4
Step-by-step explanation:
from 13 to 15 you added two more so you have to do 8 divided by 2 which is 4
What was his mistake?
Answers
Circle the first line.
His mistake was: He substituted y from 2nd equation in 1st equation incorrectly. There is a minus sign before y and it wasn't taken into the account.
The correct steps are:
2x - y = 18
2x - (4x + 2) = 18
2x - 4x - 2 = 18
-2x - 2 = 18
-2x = 20
x = -10
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
Which line is being represented by the graph?
A
y = 3/4 X -3
B
y = 3/4x + 4
C
y = -3/4x + 4
D
y = -3/4 x - 3
Answers
Answer:
The answer is C, y= -3/4 + 4
Pls help! I will give brainliest! And pls no links. What is 29 oz to Ib?
Answers
Answer:
1.8125 lb(pounds)
Step-by-step explanation:
there are 16 oz in 1 lb
so 29/16 = 1.8125
On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
Answers
The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units
What is a Coordinate Plane?This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.
Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.
We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
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Answer: A on edge
Step-by-step explanation:
because i said so
how do you distribute this
(x+5)(x-5)
Answers
see the attachment photo.
Answer:
2x-5
Step-by-step explanation:
Thats the answer
Germaine measured the height of a plant, H, in centimeters (cm) as a function of days, d, since he planted it in
his yard. The following table shows his data.
d 0 2 4 6 8 10 12
H(d) 8.2 9.6 11.0 12.4 13.8 15.2 16.6
What is the rate of change of the function?
O 1.7 cm per day
O 8.4 cm per day
O 1.4 cm per day
O 0.7 cm per day
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The rate of change of the function the height of a plant is gotten as; D: 0.7
How to find the rate of change?To find the rate of change, we will use the formula;
Rate of change = (y2 - y1)/(x2 - x1)
From the given table, we can solve for the rate of change by picking two consecutive points to get;
Rate of change = (9.6 - 8.2)/(2 - 0)
Rate of change = 1.4/2
Rate of change = 0.7
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You move left 5 units. You end at (-1, 5). Where did you start?
Answers
Answer:
(4,5)
Step-by-step explanation:
Hello!
If you move 5 units to the left, you change the x-value in (x, y) by -5.
Let the original x-value be x:
x - 5 = -1x = 4The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.
The original point was at (4,5)
Answer:
You started at (4, 5)
Step-by-step explanation:
The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)
Sherri solved the equatjon 1/5(x-20)=45. For each step, write the name of the property sherri used
Answers
Answer: The awnser is linear.
I hope this helped.
Step-by-step explanation: