To write a quadratic equation from a parabola and a chart, you can use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. Substitute the coordinates of two points on the parabola into the equation and solve for the unknown variables. Once you have the values, substitute them back into the equation to obtain the final quadratic equation.
Explanation:To write a quadratic equation from a parabola and a chart, you will need to use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. In this form, (h,k) represents the coordinates of the vertex of the parabola.
The equation can be determined from the chart by finding two points on the parabola and substituting their coordinates into the equation.
Here are the step-by-step instructions:
Select two data points from the chart that lie on the parabola.Substitute the x and y coordinates of the first point into the equation y = a(x - h)^2 + k.Substitute the x and y coordinates of the second point into the equation.Now you have two equations with two unknowns (a and h), solve the system of equations to find the values of a and h.Once you have obtained the values of a and h, you can substitute them back into the equation y = a(x - h)^2 + k to get the final quadratic equation.The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.
Answer: About [tex]\approx1.178\times10^{35}[/tex]
Step-by-step explanation:
Given : The sun produces[tex]3.8\times10^27[/tex] joules of energy per second.
It is also given that a year is approximately 31,000,000 seconds.
In scientific notation , it can be written as [tex]3.1\times10^7[/tex]
Then , the amount of energy is produced in a year will be :-
[tex]3.8\times10^{27}\times3.1\times\times10^7\\\\=3.8\times3.1\times10^{27}\times10^7\\\\=11.78\times10^{27+7}\\\\=11.78\times10^{34}=1.178\times10^{35}[/tex]
Hence, the amount of energy is produced in a year [tex]\approx1.178\times10^{35}[/tex]
Carmen, Reuben, and Bob have a total of $133 in their wallets. Bob has 3 times what Reuben has. Carmen has $8 more than Reuben. How much does each have?
What is the value of p? 0.6441−(−0.29)=p
Answer: p = 0.9341
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according to the law of conservation of energy, when a car uses 10,000J chemical energy from gasoline, how much energy will be transformed into sound,heat,and mechanical energy.
what is 4018 divide by 82
Mary and her dad shared one dozen brownies. 2/6 of them have nuts , which dad doesn't eat. How many brownies did dad not eat because they had nuts?
Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many 8-ounce cups can she fill with water?__________cups
divide total ounces by the amount each cup can hold
678 / 8 = 84.75
so they can fill 84 cups
Let a and b stand for two different rational numbers. If |a| > |b| then what else must be true?
a is farther from 0 then b is
What is an intersection point?
Find the length of each side
An architect makes a blueprint with a scale of one fourth inch equals 2 ft. Which will be the dimensions of the drawing of a warehouse room measuring 60 ft by 100 ft? Answer Options with 5 options A. 15 inches ''by 25 inches '' B. 7.5 inches ''by 12.5 inches '' C. 120 inches ''by 200 inches '' D. 480 inches ''by 800 inches '' E. 30 inches ''by 50 inches ''
The new dimension in inches is 7.5 inches by 12.45 inches. Hence, option B is correct.
What is ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.
As per the given information in the question,
One fourth inch equal to 2ft.
Mathematically,
1/4 inch = 2ft
0.25 inch = 2ft
The given dimensions are 60 ft by 100 ft.
Now,
0.25 inch = 2ft
x inch = 60 ft
2x = (0.25 × 60)
x = 15/2
x = 7.5 inches
Then,
0.25 inch = 2ft
y inch = 100 ft
2y = 100 × 0.25
y = 25/2
y = 12.45 inches
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A baker uses 30 grams of sea salt for each batch of bread. Sea salt comes in a 800 gram package. Which size package shoul the bake by so none is lef over?
joseph is spending money daily and tory is earning money daily. which function represents joseph and which represents tory? explain your reasoning.
f(x)=4x+20 g(x)=80-2x
create a table of values for both
x f(x)
0
2
5
10
11
What is the median and mode
What is 2 (1/3) — -3 (2/3) = ?
How do I combine like terms? For example one problem is 32y + 5y = please explain.
How do you write 5.8 as a percentage
What is the coefficient of the term x7y in the expansion of (x + y)8?
An angle is 6 more than five times its supplement. Whats the measure of the largest angle?
Please, please help!
Two straight lengths of wire are placed on the ground forming vertical angels if the measure of one of the angles formed is 72 degrees, what are the measures of the other three angles? Explain your answer.
They need to add to 180 degrees
108 * 72 = 108 degrees
create a slope that will be parallel to the slope provided which is 5/9 what is the parallel slope?
Answer:
The parallel slope would be 5/9
Step-by-step explanation:
Parallel lines have the same slope. So, if the original line had a slope of 5/9, the new line would also have that slope.
The movie theater has 176 seats there are 9 roles of 18 sets plus and additional section of handcapped accessible seats
The question is asking about the number of seats in a movie theater with 9 rows of 18 seats each and an additional section of handicapped accessible seats. The total number of seats can be found by multiplying the number of seats in each row (18) by the number of rows (9) and adding the number of handicapped accessible seats.
Explanation:The subject of this question is Mathematics. The question is asking about the number of seats in a movie theater, given that there are 9 rows of 18 seats each and an additional section of handicapped accessible seats.
To find the total number of seats in the theater, you can multiply the number of seats in each row (18) by the number of rows (9) and then add the number of handicapped accessible seats.
So the total number of seats in the theater is 9 rows x 18 seats/row + additional handicapped accessible seats.
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet
What is the value of 48x +35. When x=2
Quadrilateral ACEG≅ Quadrilateral MNPR
Which statement is true?
Doug dives from a platform that is 5 meters above water. His dive takes him 2.6 meters below the surface of the water. How far does Doug's dive take him?
The total distance Doug dives from the platform to the under the water is 7.6 meters.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Doug dives from a platform that is 5 meters above the water.
His dive takes him 2.6 meters below the surface of the water.
∴ To find the total distance Doug dived we have to sum the height of the platform above water and the distance which he dived below the water,
= (5 + 2.6) meters.
= 7.6 meters.
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Diana's painting statue she has 7/8 of a gallon of paint remaining each student requires 1/16 of a gallon of paint how many statues can she paint
25% of all the seats in the auditorium is 37 shares the total number of seats in the auditorium is
The Sharks have played 5 basketball games this season. Their scores are 65, 63, 67, 60, and 65. If they only score 30 points in their next game, what will happen to their MEDIAN score?
the median of the scores now is:
60 , 63 , 65 , 65 ,67
Median = 65
if the score 30, the median would be
30, 60 , 63 , 65 , 65 ,67
Median: 63 +65 = 128/2 = 64
The Median drops by 1
Jenna read 25 pages of a book in 30 minutes at the same rate how many pages can she read in 3 hours