f(x) = -x^2- 4x + 10
in the standard form
f(x) = a(x – h)^2 + k

Answers

Answer 1

Answer:

y = - ( x + 2 )² + 14

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = a(x - h)² + k (where (h, k) are coordinates of the vertex.

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

~~~~~~~~~~~~

f(x) = - x² - 4x + 10

a = - 1, b = - 4, c = 10

h = - [tex]\frac{-4}{2(-1)}[/tex] = - 2

k = - ( - 2)² - 4( - 2) + 10 = 14

(h, k) = ( - 2, 14 )

y = - ( x + 2 )² + 14


Related Questions

There are 12 pieces of candy in a bowl. 6 are mints, 4 are Butterscotch, and 2 are Cinnamon.

What is the probability of Mr. Sommer
pulling out mint, putting it back, and then
choosing mint again? P(mint, then mint)

Answers

Answer:

6/12

Step-by-step explanation:

I think that's right because once you put that mint back it's not decreasing in value so it would stay as 6/12

Helpppppppppppppppppp

Answers

The number on top of sigma is the number of terms.

The answer is C. 8 terms.

Delia put I two bags of blocks in the left-side pan of a balance. Each bag has the
same number of blocks. After she adds 10 blocks to the right-side pan, the pans
hang evenly. How many blocks are in 1 bag?

Answers

I agree the top of me is correct :)

If a Tv costs $910 and the sales tax is $80, how much will the TV cost in total?

Answers

Answer:

$1,638.00

Step-by-step explanation:

Before Tax Price: $910.00

Sale Tax: 80.00% or $728.00

After Tax Price: $1,638.00

There Are The Before And After :D!!

Please answer I’ll give Brainly

Answers

Answer:

62.5%

Step-by-step explanation:

There are a total of 8 people on the data plot.

5 of them got 15 questions or more correct, meaning 5/8 people got 15 or more questions correct.

5/8 = 5 ÷ 8

5 ÷ 8 = 0.625

0.625 = 62.5%

Mrs Tyler rolls a die each day to see how many points the homework will be worth that day. What is the probability that she rolls a 6 on Monday and a number less than 3 on Tuesday

Answers

Answer:

2/12

Step-by-step explanation:

Write the algebraic expression:
99 times the sum of y and 9

Answers



This is the answer.

Answer: 99(y+9)
the answer is indeed 99(y+9)

is -1 equivalent to -3 - (-12)

Answers

Answer:

no

Step-by-step explanation:

-1 - (-12)

the two negative signs before the 12 cancel out so it ends up being

-1+12

-1+12=11

11 and -1 are not equal to each other

Answer:

No

Step-by-step explanation:

-3-(-12)=-3+12

-3+12=9

Which retirement plan is managed by an insurance company?

a Fixed Annuity
b Pension Plan
c Roth IRA
d Traditional IRA

Answers

Answer:

Fixed Annuity

Step-by-step explanation:

Fixed annuity is the most common annuity

During the accumulation phase, the individual makes a lump-sum payment or multiple payments over time to the insurance company

The insurance company invests the money as it sees fit, along with the money of other participants, forming a pool of invested funds

Answer Is A Because A fixed annuity is a type of insurance contract that promises to pay the buyer a specific, guaranteed interest rate on their contributions to the account. By contrast, a variable annuity pays interest that can fluctuate based on the performance of an investment portfolio chosen by the account's owner.

The time it takes to drive to Myrtle Beach varies inversely with the speed you drive. If it takes you 4 hours to reach Myrtle Beach when driving at a speed of 60 mph, how much time would it take if you drove at a speed of 80 mph?

Answers

If you drove at 80mph it would take you approximately 3 hours

This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.

25% of 4 hours is 1 hour

4 hours - 1 hour = 3 hours

There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent. Using an 80% confidence level, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent

Answers

Answer:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.

This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

how does the digit 5 in the number 357 compare with the digit 5 in number 465

Answers

Answer:

The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place

Step-by-step explanation:

Good luck

Why is stock data calculated using the subtraction and addition method instead of a simple moving average? PLEASE HURRY I AM TAKING A TEST

Answers

Answer:

The moving average (MA) is a simple technical analysis tool that smooths out price data by creating a constantly updated average price. The average is taken over a specific period of time, like 10 days, 20 minutes, 30 weeks or any time period the trader chooses. There are advantages to using a moving average in your trading, as well as options on what type of moving average to use. Moving average strategies are also popular and can be tailored to any time frame, suiting both long-term investors and short-term traders.

Step-by-step explanation:

One disadvantage to solving systems using substitution is that isolating a variable often involves dealing with messy fractions. There is another method for solving systems of equations: the addition/subtraction method.

In the addition/subtraction method, the two equations in the system are added or subtracted to create a new equation with only one variable. In order for the new equation to have only one variable, the other variable must cancel out. In other words, we must first perform operations on each equation until one term has an equal and opposite coefficient as the corresponding term in the other equation.

sorry it is so long, i hope this helps!

A 108-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The short piece is
inches long

Answers

Answer:

18 and 90

Step-by-step explanation:

If we express in units,

Long piece has 5 units

Short piece has 1 unit

total 6 units

108/6 = 18 inch

which is the length of 1 unit

short = 18 * 1

long = 18 *5

Find the area of the regular polygon

Answers

Answer:

12

Step-by-step explanation:

There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.

*12 is basically the same as 360 since it's a polygon*

Find the equation of the given line.

Find the equation of the line passing through
(5, 6) and (7, 9).

Answers

Answer:

y = 3/2x - 1.5

Step-by-step explanation:

m = y² - y¹ / x² - x¹

= 9 - 6 / 7 - 5

= 3/2

(5,6)

y = mx + c

6 = 3/2 (5) + c

6 = 7.5 + c

6 - 7.5 = c

c = -1.5

what is the equation of the line in slope-intercept form?

Answers

Answer:

y = 8x

Step-by-step explanation:

Slope intercept form is y = mx + b

y = y coordinate

m = slope, rise over run

x = x coordinate

b = y-intercept, where the line crosses the y-axis.

y = mx + b

y = 80/10x + 0

y = 8x + 0

y = 8x

Answer:

y=-8x

Step-by-step explanation:

Expand (2+x)^3 using binomial theorem​

Answers

Step-by-step explanation:

= 2³ + x ³ + 3(2)²x + 3(2)x²

= 8 + x³ + 12x + 6x²

= x³ + 6 x² + 12 x + 8

For the rectangular prism, the length is 3 1/2 inches, and the height is 5 1/2 inches.
What is the width?

Show your work or justify your solution.

Answers

Answer:

no answer

Step-by-step explanation:

This is because,before finding the width,length,and height of the block, there should be a stated volume,or some other parameters or properties of the prism must be stated, as such the answer cannot be determined

Answer:

thanks

Step-by-step explanation:

2+2 >:) so complicated

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 and thank u or the free points

Step-by-step explanation:

8p(-3p^2+6p-2) hellpppppppp

Answers

-16p was my answer after simplifying it

Answer:

120p - 16p = 104p

Step-by-step explanation:

-3p x -3p = 9p + 6p = 15p x 8p = 120p

8p x -2 = -16p

120p - 16p = 104p

Please wait for more responses if needed thank you.

Find the GCF of the numbers. 8, 16

Answers

Answer:

8

Step-by-step explanation:

Answer:

What is the Greatest Common Factor of 8 and 16? Greatest common factor (GCF) of 8 and 16 is 8.

hope it help plz heart and vote plz po..

URGENT I NEED HELP FIRST PERSON WHO ANSWERS I'LL GIVE BRAINLYEST

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.
Which of the following could be used to calculate the volume of water in the vase?

π(3in)2(12in) − 1.5(four over threeπ(9in)3)
π(12in)2(3in) − 1.5(four over threeπ(9in)3)
π(3in)2(12in) − 9(four over threeπ(1.5in)3)
π(12in)2(3in) − 9(four over threeπ(1.5in)3)

Answers

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

5 A box of donuts holds
12 donuts. One-fourth
of the donuts have
sprinkles. Of the remaining
donuts, one-third have
cherry filling. The rest are
plain, What percent of the
donuts are plain?

Answers

Answer:

91.6667%

Step-by-step explanation:

1/3 of 1/4 = 1/12

11/12 = 91.6667%

Have a great day <3

Answer:

50% of the donuts are plain

Step-by-step explanation:

out of 12 donuts, 1/4 have sprinkles. This results in 3 donuts having sprinkles. 3 out of 12 is 9. 1/3 of 9 is 3. 3 donuts have cherry filling. The rest, which is 6 are plain. 6 is 50% of 12.

1.92 as a percentage of 1.60​

Answers

Answer:

120%

Step-by-step explanation:

100% = 1.6, 0.32=20%

1.92\1.60=1.2
As a % multiply by 100
1.2x100= 120%

What the solution for CED

Answers

Answer: 58 degrees
Explanation: 180-122=58

Answer:

Step-by-step explanation:

The two adjacent angles must have a sum of 180

CED=180-122

CED=58 degrees

Write 40673 to the nearest thousand.​

Answers

Answer:

50000

Step-by-step explanation:

Answer:

41000

thank me later have a great day

I don’t understand this. Please help me.

Answers

Answer:

A

Step-by-step explanation:

To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.


A helicopter hovers 1500 feet above a small island. The
figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem

Answers

Answer:

the island is 1787.63ft far.

Step-by-step explanation:

<P=40° alternate angle

in triangle

relationship between perpendicular and base is given by tan angle

tan 40=p/b

tan40=1500/b

b=1500/tan40=1787.63ft

Maths question is very hard

Answers

yeah it is hardddd.

Answer:

I cant quite see the question or understand what your asking.

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