The x-coordinate of the vertex of the function y=-x²+bx+3 is 10. Determine the y-coordinate of the vertex.

Answers

Answer 1

Answer:

103

Step-by-step explanation:

Given function:

y = -x² + bx + 3

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

x = -b/2a

The given function has:

x = 10, and a = -1

Find the value of b:

10 = -b / -2b = 20

The function is:

y = -x² + 20x + 3

The y-coordinate of the vertex is:

y = -(10²) + 20*10 + 3 = -100 + 200 + 3 = 103
Answer 2

Answer:

Solution given:

y = -x² + bx + 3

we have

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

x = [tex] \frac{ - b}{2a} [/tex]

we have

x = 10, and a = -1

Substituting value of a in -b/2a

we get

b = 20

now

The y-coordinate of the vertex is:

y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.


Related Questions

A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 61 feet tall. Which equation could
be used to find x, the average number of feet the tree grew each month?
A. 5x + 16 = 61

B.16x + 5 = 61
C. 61x + 5 = 16
D. 16x + 61 = 5

Answers

Answer:

B

Step-by-step explanation:

Plsss help I’m super stuck on this

Answers

Answer:

its  b

Step-by-step explanation:

took the quiz

Answer:

I would go with D

Step-by-step explanation:

You can look at the graph and answer it

F(x)=400-4/5x find the function and intercepts

Answers

Answer:

The x-intercept is (500, 0);  the y-intercept is (0, 400).

Step-by-step explanation:

F(x)=400-4/5x is already a function:  a function of x.

To find the y-intercept, set x = 0 and calculate F(0):

    F(0) = 400 - 0 = 400; the y-intercept is (0, 400).

To find the x-intercept, set F(x) = y = 0 and solve for x:

     0 = F(x) = 400 - (4/5)x, or (4/5)x = 400.  To isolate x, multiply both

     sides by (5/4):  x = (5/4)(400) = 500.  The x-intercept is (500, 0).

Please Help Me!! Will Give Brainliest!!!

Answers

x = 2 y = 1
y = 5 x= 4
x = -2 y = -7
y= 0 x= -3

Some of answers use 3,14 as a substitute for pi.
Some use the symbol for pi. which type of answers
more accurate? The more accurate value is
is

Answers

Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.

Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}​

Answers

Answer:

3.1

Step-by-step explanation:

Which line has the steepest graph?

Answers

Answer:

I think it is the fourth one

[tex]y = \frac{1}{8} x + 9[/tex]

Step-by-step explanation:

I hope that is useful for you :)

I'll give you brainiest if you help me.

Answers

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

the CN Tower of Toronto, Canada is 553 M tall. how tall is the tower in cm

Answers

Answer:

The answer is 55,300.

Step-by-step explanation:

There are 100 centimeters in one meter so you can multiply by 100 to get the answer. I hope this helps! Have a great rest of your day!

HELP ASAP!!!
Two random samples were taken to determine how often people in a community listen to the local radio station each month.

The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.

The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.

Which statements are true? Check all that apply.
The second sample is random.
The second sample is likely to be more representative of the population.
The first sample is likely to be more representative of the population.
The second sample will give a better representation because is it larger.
The first sample will give a better representation because it is smaller.
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

Answers

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST!

Answers

For this composite question you will need to divide the shape into two different shapes. The large rectangle is going to be 60 in square because of base times height and then you would need to find the square which would be 4 times 4 cause of base times height but because it’s a triable you divide by 3 so 16/2 would be 8 than you would add both shapes and get 68 in squared. Hope that helps!

can someone please help with this? real answer only please......ive asked multiple questions today becuz i dont really understand the assignment, please help​

Answers

i believe the answer is A

Kaylee read 19 1/2 pages in 3/4 of an hour. If she continues reading at the same rate,
how many pages will she read in an hour?

Answers

Answer: The answer is 26.

Step-by-step explanation:

Simple, find the unit rate. That's 19.5 / 0.75 = 26.

or using fractions:

19 2/4  divided by 3/4

78/4 divided by 3/4

78 / 3 = 26

4 / 4 =    1

Unit rate = 26books/1 hour

Find the area of the figure.

40.8 cm2

1128 cm2

47.52 cm2

33.7 cm2

Answers

Answer:

answer is 47.52 cm2

Step-by-step explanation:

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Answers

Answer:

the answer is B - 96 trust me

In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.

Answers

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem

Answers

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?

Answers

Answer:

The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet

Step-by-step explanation:

The given coordinates of the clues for the treasure hunt are

The location of the first clue = 5 units north of the flag pole

The coordinates is (0, 5)

The location of the second clue = 6 units east of the flag pole

The coordinates is (6, 0)

The location of the final clue = 5 units south of the flag pole

The coordinates is (0, -5)

The flagpole is at the origin

The coordinates of the flagpole is (0, 0)

Each unit on the graph = 50 feet

From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;

The shortest distance between 2 points is a straight line

Therefore

The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units

The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet

The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units

The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet

By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61

The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet

Hello Kitty has created a new system of conversion for the residents of Kitty Nation. The standard for measurement of length in Kitty Nation is that 8 lenthii = 30 inches and 4 gianthii = 478.8 lenthii. If a design to be sent to Kitty Nation is 294.3 feet long, how many gianthii long will it be? (Include units)

Answers

Answer:

yvcwඨ්‍ය්වුය්tubcccccccccccccuuuuuu,,,v ttttttttrhhhhhhhhh

Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5

Answers

Answer:

3g -13

Step-by-step explanation:

HELP ASAPPP! I WILL GIVE BRAINLEST TO THE RIGHT PERSON

Answers

Answer:

E and H are the correct answers

Step-by-step explanation:

which set of side lengths will form a right triangle 8,15,17
7,24,26
6,8,11
10,24,25

Answers

Let’s try the pythagorean formula.

1) 8^2+15^2=17^2
289=289 Yes

2) 7^2+24^2=26^2
625 ≠ 676 No

3) 6^2+8^2=11^2
100 ≠ 121 No

4) 10^2+24^2=25^2
676 ≠ 625 No

Therefor, 8,15,17 is your answer

Please please help me I will give brainileist

Answers

Answer:

26

Step-by-step explanation:

Average = all the numbers added together then divided by the amount of numbers in the equation

21+24+25+25+26+26+26+26+27+29= 255

Since there are ten numbers in this equation, divide the sum by 10

25.5

round up

26

Combine like terms. Which Pokemon has the correct answer?
-17x + 13x = ?

Answers

the answer is -17x+13x=-4x

Answer:

-4x

Step-by-step explanation:

You add -17x and 13x and you get -4x.

WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!

Answers

Answer:

69824.21

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Step-by-step explanation:

In a class of 30 students, 6 play an instrument and 17 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?

Answers

It’s 2 because 6+17= 23 and you add that with 9 and it’s 32 and since the class has 30 students, it would make sense to be 2.

In December, a car salesman sold 60 cars. In January, he only sold 24. Find the percent decrease in his monthly sales.

Answers

Answer:   45.6

Step-by-step explanation:

60 - (24% × 60) =

60 - 24% × 60 =

(1 - 24%) × 60 =

(100% - 24%) × 60 =

76% × 60 =

76 ÷ 100 × 60 =

76 × 60 ÷ 100 =

4,560 ÷ 100 = 45.6

Is "three less than a number" equivalent to "the difference of three and a number?"
Explain your answer.

Answers

I’ll use “x” as “a number”

So it’s basically asking if-

X-3=X-3

Obviously the answer is yes.
X-3 is equal to X-3.


(a) Calculate 8% of £3.25.

Answers

Answer:

8÷100×3.25

=£0.26

hope it is helpful to you

Step-by-step explanation:

8÷100×3.25

=0.26

espero ter te ajudado

help please i don’t get it

Answers

I had that on my test too
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