Write the equation of the parabola in vertex form.
vertex (2,4), point (3,2)

Answers

Answer 1

Answer:

y=-3(x-2)^2+4

Step-by-step explanation:

The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.

To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4   or  a = -3

So the full equation is y = -3(x-2)^2 + 4


Related Questions

What's the value of x in the equation -6 + x = -4?

Brainliest to best and quickest answer!​

Answers

Answer:

[tex]\boxed{\sf{x=2}}[/tex]

Step-by-step explanation:

To find the value of x, isolate it on one side of the equation.

→ -6+x=-4

First, add by -6 from both sides.

→ -6+x+-6=-4+6

Solve.

→ -4+6=2

x=2

Therefore, the correct answer is x=2.

I hope this helps you! Let me know if my answer is wrong or not.

Help picture below problem 23 will give brainlest

Answers

Answer:

It will take them 5 hours to make 180 cupcakes

Step-by-step explanation:

17 + 19 = 36 x 5 = 180

Answer:

5 hours

Step-by-step explanation:

so since it al together you add 17+19 which equals 36. after that you divide 180 by 36 which equals 5. to recheck this I multipled 17 by 5 and 19 by 5. equaling 85 plus 95 equals 180 meaning it is 5

The pressure of a gas tank is 234.24 atm at 295 K. Whatis the gas pressureif the temperature is raised back to 333k?

Answers

Answer:

Step-by-step explanation:

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature is raised to 333K. P1/T1=P2/T2

I need help ASAP! I took a screenshot of the question and linked it.

Answers

Answer:

  18.  $5890

  19.  Mitsubishi Mirage

Step-by-step explanation:

The depreciated value can be found using an exponential relation. The decay rate here is given as 12.5%. The exponential function will have the form ...

  y = a·b^x . . . . . a = initial value, b = decay factor = 1 - decay rate

__

18.

The above equation will have a=15,000, representing the initial value of the car. It will have b=(1-0.125) = 0.875, the decay factor for the car's value. In the 7 years between your 18th and 25th birthdays, the car will have declined in value to ...

  y = $15000·0.875^7 ≈ $5890.44

When you turn 25, the car will be worth about $5890.

__

19.

We found three cars with a price under $15,000:

Nissan VersaChevrolet SparkMitsubishi Mirage

Of these, the Mirage gets the best mileage and has the most cargo space. (It also has the smallest engine.) The Spark has a continuously-variable transmission, not a 5-speed manual, so will be somewhat easier to drive. Its mileage is almost as good, but its range is about 10% less than that of the Mirage or Versa.

(Your curriculum may offer different choices. We cannot tell.)

Perhaps you got a Mitsubishi Mirage.

help me please this is hardddd

Answers

Answer:

4) C

5) A, B, and D

6) 0.99m+50

7) h=d/2

Step-by-step explanation:

Tom has 2 feet of wire. He uses of the wire to hang a picture. How much wire did he use to hang the picture?
A. 2 4/7 feet
B. 1 9/10
C. 1 7/10
D. 1 1/2​

Answers

Answer:

D.  1  1/2 feet

Step-by-step explanation:

Multiply the numbers to find the length of wire used.

2 1/2 × 3/5 = 5/2 × 3/5 = 3/2 = 1 1/2 feet

Correct choice is D

what is the solution to 2x + 5 = 6x – 5? Show your work.

Answers

2+5=6−5
2x+5=6x−5 2x+5-5=6x - 5 - 5

The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4
parts per million (ppm). A consumer health group measured the level of the chemical in a
random sample of tomatoes obtained from one producer.
The levels, in ppm, are shown below.
0.31 0.47 0.19 0.72 0.56
0.91 0.29 0.83 0.49 0.28
0.31 0.46 0.25 0.34 0.17
0.58 0.19 0.26 0.47 0.81
Does the data provide sufficient evidence to support the claim that the mean level of the
chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm?
Use a 0.05 significance level to test the claim that these sample levels come from a population
with a mean greater than 0.4 ppm. Use the P-value method of testing hypotheses. Assume that
the standard deviation of levels of the chemical in all such tomatoes is 0.21 ppm.
Choose the correct null and alternative hypotheses associated with this experiment.

Answers

Null hypothesis (H0): The mean level of the chemical in tomatoes from this producer is equal to or less than the recommended level of 0.4 ppm.

Given that, the maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm).

Alternative hypothesis (H1): The mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.

To test the claim, we will use a one-tailed hypothesis test with a significance level of 0.05. The test statistic is calculated by subtracting the mean of the sample from the mean of the population, and dividing the result by the standard deviation of the population.

Test statistic = (Sample mean - Population mean) / Standard deviation of population

Test statistic = (0.465 - 0.4) / 0.21

Test statistic = 2.38

Since the test statistic is positive, we can reject the null hypothesis. The P-value for this test statistic is 0.0095, which is less than 0.05.

Therefore, the data provides sufficient evidence to support the claim that the mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.

Learn more about the random sample here:

https://brainly.com/question/12719656.

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Stephanie has $42,750 in student loans at a 6% compound interest
rate. If she decides to defer payment on the loan for two years, how
much additional interest will be added to the loan at the end of the
two-year deferment?

Answers

Answer:

You first take the annual interest rate on your loan and divide it by 365 to determine the amount of interest that accrues on a daily basis. Say you owe $10,000 on a loan with 5% annual interest. You'd divide that rate by 365 (0.05 ÷ 365) to arrive at a daily interest rate of 0.000137.

-28;a)__; -20; -16;b)__



help me please​

Answers

Answer:

It ether -36 or a-28

19.A bag contains 8 blue coins and 6 red
coins. A coin is removed at random and replaced by three of the other color.
What is the probability that the removed coin is blue?

Answers

8+3=11 6-1=5 11+5=16 5/16

A) 4/7

B) 9/16

C) 4/9

What is the volume of the prism? __ in.³.

Answers

Answer:

volume is 20^3 inches i hope i helped

(mark brainliest)

There are 8 ounces in a ½ pond. How many ounces are in 7¾ lbs

Answers

7 3/4 pounds contains 124 ounces

8 ounces = 0.5 pound

X ounces = 1 pound

X = 8 / 0.5 = 16 ounces


7 3/4 = 7.75

7.75 contains = 7.75 * 16

= 124 ounces

36
36
is what percent less than 60
60
?

Answers

Answer:

thats only the answer <3

There are 9 new books and 5 used books on a shelf.
(a) What is the ratio of all books on the shelf to used books?
(b) What is the ratio of new books to all books on the shelf?

Answers

For all books just add both and then just put them in a ratio.
A.) 14:5
B.) 9:14

Answer:

A- 14:5

B - 9:14

Step-by-step explanation:

Hope this helps!!!

What is the equation of a line with a slope of -3 and a y-intercept of 4?
O A. y= 4x+3
O B. y=-3x+4
O C. y = 4x-3
0 D. y = -3x - 4

Answers

Answer:

B. y=-3x+4

Step-by-step explanation:

slope always has the variable

Answer:

Step-by-step explanation:

hello :

an equation for the line is : y=ax+b   when a is the slope

so : a= -3

y-intercept of 4  means x=0   y=4

Answer: B    because   x=0    y=-3(0)+4  = 4

Juan measured the thickness of the books in his bookcase. This line plot shows his results. Juan stacked the thinnest books and thickest book in one pile. How thick was his pile of books?

Answers

The thickness of the pile of books measured by Juan and the information in the line plot is 5.

What is the thickness of the pile of books?

Based on the information in the line plot, the thinnest book has a thickess of  1 1/4 and the thickest book has a thickess of 2 1/2.

The thickness of the pile of books = (1 1/4 x 2) + 21/2

(5/4 x 2) + 2 1/4 = 5

Please find attached the complete question. To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

605 miles in 11 hours

Answers

Answer:

1 hour=55 miles

Step-by-step explanation:

Answer:

55 mph

Step-by-step explanation:

605 miles/11 hours

605/11 mph

55 mph

Hope this helps!

write 156/51 as a mixed number in simplest terms

A) 3 1/17
B) 3 3/51
C) 3 2/51
D) 3 1/27

Answers

Answer:

B option is the answer, hope this helps!!

B is the correct answer

Can y’all figure out the answer for me please

Answers

True

Explanation

Because if you flipped triangle def to straight it is actually the same but different size and that’s the meaning of “~”

Answer:

Step-by-step explanation:

true

if angle BCA is 90° and angle EFD is 90°

and if C to A is 14, half of that is 7 which is what F to D is

Apr 09,5:30:49 PM
Please help I am lost I’m not smart…

Answers

the piece-wise function is, -x - 5 when x ≠ -2

and when x = -2, the function's value is -2

what that means is when x = -4, the subfunction of -x - 5 is the one to use, because x = -4 is in that range

so f(-4) = -(-4) - 5 => f(-4) = -1.

so the function's graph look more or less like the one below, with a solid line going but with a gap at x = -2.

Find x in each triangle

Answers

Answer:

Applying Pythagoras we get x= 9

Answer:

using the relation,

h²=p²+b²:

15²=x²+12²

x=(225-144)^0.5

x=9

therefore x equal 9 meter.

Andrea made her aunt a garden. The width is 8 3/7 ft and the length is 7 2/3 ft. What is the area of the garden?
NOTE: We are finding the area in the problem

Answers

Answer:

I think the area is 513/21

suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.

Answers

Answer:

black and white should do right?

There are 20 ways to choose 2 colors without replacement, considering the order of choices as relevant, from the 5 colors: red, blue, green, purple, and yellow.

If the order of choices is relevant, it means we are dealing with permutations.

To calculate the number of ways to choose 2 colors from 5 colors without replacement and with order being relevant, we use the concept of permutations.

The number of permutations of choosing r items from n distinct items is given by the formula:

P(n, r) = n! / (n - r)!

where "n!" denotes the factorial of n, which is the product of all positive integers from 1 to n.

We want to choose 2 colors from 5 colors, so n = 5 (total colors) and r = 2 (colors to be chosen).

P(5, 2) = 5! / (5 - 2)!

= 5! / 3!

= (5 × 4 × 3 × 2 × 1) / (3 × 2 × 1)

= 120 / 6

= 20

Therefore, there are 20 different ways to choose 2 colors from the 5 colors (red, blue, green, purple, and yellow) without replacement and with the order being relevant.

To learn more on Permutations click here:

https://brainly.com/question/3867157

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Complete question:

suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.

How many ways this can be done, if the order of choices is relevent

PLEASE HELP PLEASE PLEASE HELP PLEASE

Answers

Answer:

False

Step-by-step explanation:

basically it's asking you whether or not you can live on earth. you can't live at the other planets because they're either too far or too close to the sun.

Please help! First answer correct BRAINLIEST

Answers

Answer:

8 in

Step-by-step explanation:

Area=(1/2)*(p1+p2)*d

I need help please I need help please ​

Answers

1/8 because 1/8x2 is 1/4 and it would take 1/4 to include the entire class

Answer:

1/8 of the class voted for the nature park

Step-by-step explanation:

there is only 1/4 votes left because 3/4 voted for the museum. 1/8 is half of 1/4. So the answer must be another 1/8 to equal 4/4 or 1.

Please mark as brainliest

I need help look at the picture attached

Answers

Answer:

340.8 m

Step-by-step explanation:

Find the area of rectangles:

15 x 8 = 120

6x8=48

16x8=128

Find area of triangle:

1/2 5.6 x 16 = 44.8

Add together:

120 + 48 + 128 + 44.8 = 340.8 m

Hope this helps :)

the height h of a projectile at any time t after launch is defined by the function h(t) =5t^2+13t + 6

Answers

Answer:

The equation  sets the parabola. You can find the parabola vertex as:

then

This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.

The projectile initially launched at time t=0, so the initial height is h(0)=2 m

Step-by-step explanation:

Work out
2 × 1015
8 × 108
Give your answer in standard form

Answers

Answer:

2.03 × 103 and 8.64 × 102

Step-by-step explanation:

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