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

Choose the correct horizontal asymptote of
F(x)=x+7/x^2-6

A: y=6
B: y=0
C: y=7
D: none

Answers

I think its answer B, but im not 100% sure so im sorry if its wrong

PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP

Garnet has a container with 15 1/2
cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour.

How many dozens of
muffins can Garnet make with the flour she has?

Answers

Answer:

6

Step-by-step explanation:

2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.

15 1/2 is the same as 31/2
2 1/2 is the same as 5/2
31/2 divided by 5/2 (keep-change-flip to divide a fraction) —> 31/2 times 2/5
Numerator: 31 times 2 = 62
Denominator: 2 times 5 = 10
Put that together and it’s 62/10 which reduces to 31/5 or 6 1/5 cups

Translate the figure 2 units left and 4 units down

Answers

Answer:

rectangle

Step-by-step explanation:

can i have brainliest

Use the table to find the solution to the function f(x)=x^2(x-2) when x=2

Answers

x= 2
f(x) = 0
good lcukkk

If the designer measures the pond and determines that the length of the pond across is 400 feet wide, what is the length of the radius?

Answers

Answer:

200 ft

Step-by-step explanation:

I assume that 400 ft is the diameter, in which case the radius is 1/2 if the diameter. Therefore, 1/2 of 400 is 200.

Hope this helps!


find the surface area of the following cylinder. Round your answers to the nearest tenth.

Answers

Answer:

233

Step-by-step explanation:

2=33=2=

HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!



(if it is not a ligament answer, i will report)

Answers

Answer:

2 x 3(x + 4) + 2 x 7(x + 2) = 20x + 52

Step-by-step explanation:

2 x 3(x + 4) + 2 x 7(x + 2) = 6x + 24 + 14x + 28 = 20x + 52

Solving System equations using substitution

5x+2y=21
-x-y=-9
Can someone help solve this

Answers

Answer:

x = 1

Step-by-step explanation:

-5x+2(7x)=9

-5x+14x=9

9x=9

x=1

also you can use math_way to help solve this

Have a great day!

300% of what number is 75?.

Answers

Answer:

25

Step-by-step explanation:

Find the number by dividing 75 by 3, since 75 is the number tripled.

75/3

= 25

So, 300% of 25 is 75.

Answer:

25

Step-by-step explanation:

300% * x = 75

300/100 * x = 75

x = 75 * 100/300

x = 25

Plzzzzzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

TU=8

WU=10

TX=5

TV=10

I THINK

if line M is parallel to line and, in the slope of M is -5/7, what is the slope of line end? Your denominator must be positive

(easy question, easy points)​

Answers

Answer:

7/5

Step-by-step explanation:

Everything is positive as I explained,

the answer of the reverse reciprocal is 7/5 because 7/5 is parallel to -5/7 so they are perpendicular to each other.

please help me im bad at math and i math you as brainlest if you help me

Answers

Answer:

1st one

Step-by-step explanation:

1st one lolllslslslslslslslsls

Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above​

Answers

Answer:

c

Step-by-step explanation:

because u cant be wrong with going with none of the above due the fact that they could be decimals and they didn't want to write out the full number therefore making it incorrect. No need to thank me.

After 2.5 years your investment account has earned $450 in interest. If the interest rate is 7.5% what was the principle on your account?

Answers

Answer: $2400

Step-by-step explanation:

Given

Interest earned is $450

The rate of interest is R=7.5%

Time period T=2.5 years

Simple Interest is given by

[tex]S.I.=\dfrac{P\times R\timesT}{100}\quad [\text{P=Principal}][/tex]

Substitute values

[tex]450=\dfrac{P\times 7.5\times2.5}{100}\\\\P=\dfrac{450\times 100}{7.5\times 2.5}=\$2400[/tex]


Find the length of CE
A. 17.8 units
B. 27.8 units
C. 37.8 units
D. 51.5 units

Answers

Answer:

B. 27.8 units

Step-by-step explanation:

Hope it Help

Uma pesquisa realizada pela IBGE constatou que a população de uma cidade havia aumentado de 82.350 para 105.200 habitantes calcule o valor desse aumento em índices percentuais

Answers

Answer:

the value of this increase in percentage indices is 27.77%

Step-by-step explanation:

The computation of the  value of this increase in percentage indices is shown below:

Given that

The population has increase from 82,350 to 105,200

So, the increase in percentage would be

= (105,200 - 82,350) ÷ (82,350)

= 22,850 ÷ 82,350

= 27.77%

Hence, the value of this increase in percentage indices is 27.77%

PLEASE HELP I’LL GIVE BRAINLIEST

Answers

Since they are parellel sides it will be efficiet as 13. Answer is 13.

Hope this helped ( thx if you give branliest as well)

Answer:

The answer would be 38.6

Step-by-step explanation:

Because you have to find the circumference of the half circles which would be 12.57 together then you add the two sides (13) together which would just be 38.57, but rounding up will make it 38.6.

Brainliest?

Wanda rode her bike 5km the first day and she rode her bike 10,000m the second day. How many meters, in total, did Wanda ride in the two days?

Answers

Answer:

there are one thousand (1,000) meters in a kilometer. So, 5,000 plus 10,000 is 15,000 meters.

Step-by-step explanation:

A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound?

Answers

Answer:

1583362.7 termites

Step-by-step explanation:

A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound

The formula for the volume of a cone

= πr²h/3

Radius = r = 60cm

Height = h = 1.4 m

Converting to centimeters.=

1m = 100cm

1.4m = x

x = 1.4 × 100cm = 140 cm

Volume of the cone = π × 60² × 140/3

527787.5658 cm³

From the above question

1cm³ = 3 termites

527787.5658 cm³ = x

Cross Multiply

x = 3 × 527787.5658

x = 1583362.6974 termites

Approximately.= 1583362.7 termites

Answer:A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound

Step-by-step explanation:

look at pic below please show work.: )

Answers

Answer:

there no

Step-by-step explanation:

put the pic

542 L =
kL


Brainliest and points

Answers

Answer:

0.542

Step-by-step explanation:

divide the liter by 1000 and get your answer! have a great day

542 liters is approximately equal to 0.542.

Given that a quantity, 542 L we need to convert it into kL,

To convert liters (L) to kiloliters (kL), you need to divide the given value in liters by 1,000 since there are 1,000 liters in 1 kiloliter.

In this case, to convert 542 L to kL, you can use the following formula:

kL = L / 1000

Plugging in the given value:

kL = 542 L / 1000

Dividing 542 by 1000, you get:

kL ≈ 0.542 kL

Therefore, 542 liters is approximately equal to 0.542.

Learn more about Conversion Factor click;

https://brainly.com/question/30567263

#SPJ6

What is the interquartile range of the following data set?
37,27, 48, 96, 61, 84, 29, 1,72,5, 34
O A. 37
B. 10
O C. 64
O D. 45

Answers

Answer:

d

Step-by-step explanation:

How to find the Interquartile Range

Order the data from least to greatest.

Find the median.

Calculate the median of both the lower and upper half of the data.

The interquartile range is the difference between the upper and lower medians.

After doing that, write out your list, and and subtract the medians to get 45

PLEASE HELP WORTH 15 POINTS

Answers

B. XYZ is similar to ABC

The length of one edge of a cube is 7 units. What is the volume of this cube in cubic units? HELPPPPPP JUSTIFY THE ANSWER PLEASEEE

Answers

Answer:

Step-by-step explanation:

A cube has an edge length of 5 inches

When I know the side length of a cube, I can find its surface area and express it using appropriate units.

I can write and explain the formula for the surface area of ​​a cube.

The volume of a cube with edge length [tex]S^{}[/tex] is .[tex]S^{3}[/tex]

A cube has 6 faces and they are all identical squares. The surface area of ​​a cube with edge length [tex]S^{}[/tex] is. 6 DIVIDE [tex]S^{2}[/tex]

5n + 34 = -2(1-7n)

n=

ill mark brainliest and 20 points

Answers

Answer:

[tex]n=4[/tex]

Step-by-step explanation:

Expand  −2(1−7n):    −2+14n

5n+34=−2+14n

Subtract 34 from both sides

5n+34−34=−2+14n−34

Simplify

5n=14n−36

Subtract 14n from both sides

5n−14n=14n−36−14n

Simplify

−9n=−36

Divide both sides by −9

−9n

−9 =

−36

−9

Simplify

n=4​

Giving brainliest for the correct answer

Answers

Answer:

8

Step-by-step explanation:

all sides are equal if its a square therefore a given length will be multiplied four times since all sides are equal

Answer:

8 in.

Step-by-step explanation:

Perimeter of square = 4l = 4 * 2 =. 8 in.

what 1 +1x5-5x9 i really need to know this by the next second

Answers

Answer: -39

Step-by-step explanation:

Hope this helps.

multiply this please! i dont understand this assignment and need someones help asap!

Answers

Answer:

b1 = -21

b2 = 33

b3 = 6

Step-by-step explanation:

I think that it is asking you to multiply 3 by -7, 11 and 2 and those would equal b1,2, and 3

A line passes through (-1, 5) and (1, 3)

Answers

Answer:

y=-x+4

Step-by-step explanation:

3-5/1-(-1) = -1

(y-(-1)) = -1(x-5)

y+1 = -x+5

y= -x +5-1

y= -x + 4

Workers inc just brought 14 boxes of pens to put in their storage. Each box contains 40 pens. If each of the 40 employees takes 2 pens how many will be left in the storage room?

Answers

Answer:

480

Step-by-step explanation:

The computation of the number of pens left in the storage room is shown below:

The total number of pens purchased is

= 14 boxes × 40 pens

= 560

ANd, the total pens take by the employee

= 40 employees × 2 pens

= 80

So, the remaining pens left is

= 540 - 80

= 480

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