Mathematics College

What is the equation in the standard form of a parabola with a vertex of (4,2) that passes through (2, 14)?​

Answers

Answer 1

9514 1404 393

Answer:

  y = 3x^2 -24x +50

Step-by-step explanation:

The vertex form is ...

  y = a(x -4)^2 +2

where 'a' is chosen to make the curve pass through the given point.

  14 = a(2 -4)^2 +2 . . . . substitute the given point

  14 = 4a +2 . . . simplify

  12 = 4a . . . . . subtract 2

  3 = a . . . . . . . divide by 4

Then the standard form is the expansion of the vertex form:

  y = 3(x -4)^2 +2 = 3(x^2 -8x +16) +2

  y = 3x^2 -24x +50

What Is The Equation In The Standard Form Of A Parabola With A Vertex Of (4,2) That Passes Through (2,

Related Questions

Please help ASAP! Will Mark brainliest!

Answers

Answer:

Tomorrow

Step-by-step explanation:

A mammal's surface area can be calculated by using the equation S(m) = km where s(m) is the surface area in square centimeters, k is a constant and m is the mass in grams of the mammal. What is the mass of a mammal with k = 8.5 and a surface area of 6000 square centimeters? Round answer to the nearest whole number

Answers

Answer: 706 grams

Step-by-step explanation:

s(m) = km

So 6000 = 8.5m

Divide both sides by 8.5 to isolate m

6000/8.5 = 8.5m/8.5

705.88 = m

m = 706 (rounding up)

The required surface area of the given mammal is given as square meters.

Given that,
A mammal's surface area can be calculated by using the equation S(m) = km where s(m) is the surface area in square centimeters, k is a constant and m is the mass in grams of the mammal.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
Given expression,
S(m) = k × m

Now put S(m) = 6000 and k = 8.5
6000 = 8.5m
m = 6000/8.5
m = 705.9 square centimeters

Thus, the required surface area of the given mammal is given as square meters.

Learn more about the surface area here: https://brainly.com/question/2835293

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Can someone please help me. I will give you brainliest, I’m struggling bad...

Answers

A, it crosses the y-intercept at (0,3) :)

HELP ME I KEEP ON ASKING THIS MY MOM WILL KILL ME!!!

Answers

Answer: 70  

Step-by-step explanation:

First you multiply 17x8 then you subtract it by 64 then you divide it by 2 please double check  with a parent to make su

(17b - a^2)/2

Evaluate the expression if a=8, b=6

(17 x 6 - 8^2)/2

(102 - 64)/2

38/2

= 19

Therefore the solution to the equation is 19

The total cost c to rent any number
of movies m from an online movie
rental company is represented by
the function c = 1.5m + 5. The
cost to rent movies from a different
company is shown in the graph.

a) Compare the y-intercepts.

b) Compare the rates of change.

Answers

Answer:

a. The y intercept the the first rental company is 5 while the y intercept for the graph company is 4

b. The rate of change is steeper with the first company

Step-by-step explanation:

I need the answer to this problem (picture provided) please help, it's due soon!

Answers

Answer:

x=32° is the correct answer

Step-by-step explanation:

x+75°+73°=180

x+148°=180

x=180°-148°

x=32°

Evaluate
x+y+z when x=3, y=2 ,z=1​

Answers

Answer:

6

Step-by-step explanation:

x+y+z

3+2+1

=6

I hope it helps!

Dylan has 1,024 in credit card debt. The credit card has an APR of 15% and is compounded monthly. If he pays 300 per month, how long will it take to pay off the credit card?

Answers

Answer:

2.1314 Months.

Step-by-step explanation:

The time it will take to pay off the credit card is 3.86 months.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

Debt credit card= 1024

APR=15%

Now,

FV is the remaining balance of the credit card debt, PMT is 300, i is 0.15/12 (the APR divided by 12 months), and n is the number of months. We want to find n when FV is zero, which means the debt is paid off. So we have: 0=300×0.15/12(1+0.15/12)n−1​

Solving for n, we get: n=log(1+0.15/12)log(1−0.15/12×0/300)​≈3.86

Therefore, by the given interest rate the answer will be 3.86 months .

Learn more about interest here;

https://brainly.com/question/1548909

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64 + (5 ÷ 3) - 2^3
help me plz

Answers

Answer:

57.67

Step-by-step explanation:

64+1.67-8

65.67-8

57.67

A sandwich store charges a $10 delivery fee, and $4.50 for each sandwich
a. What is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches?
What is the total cost for x sandwiches

Answers

Answer:

$37.00

Step-by-step explanation:

The equation is: y= (4.50 * x) + 10

Plug 6 in for x: y= (4.50 * 6) + 10

4.50 * 6 = 27

27+10 = 37!

Which description is paired with its correct expression? two less than the quotient of a number cubed and four, increased by eight; 2 minus StartFraction n cubed Over 4 EndFraction + 8 six times the difference of five and a number squared; 6 (n squared minus 5) three more than the quotient of nine and a number cubed, decreased by two; 3 + StartFraction 9 Over n cubed EndFraction minus 2 twice the difference of a number squared and three; 2 n squared minus 3

Answers

Answer:

Three more than the quotient of nine and a number cubed, decreased by two; 3 + StartFraction 9 Over n cubed EndFraction minus 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i took the review

Please hurry it’s missing

Answers

The answer is 1 7/26

Answer:

the answer is  1 28/104 or one whole and 28 over 104 :p

                 

-6+x÷14=-5 solve for x

Answers

Hugh Hugh he h G ghjbbbbbnjjj

Paaaaaaatabang ko ani bi hahahaha kinsay kabalo​

Answers

B.hope this helps have a good day

Which of the following equations could be used to show the relationship
between number of days and amount of soda consumed? Select all that
apply.

Answers

Answer:

b and e

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

On which number line do the points represent negative seven and one over two and +1?

do u guys know

Answers

are you still stuck on the question

What is the answer to 287=66x+y

Answers

Would the answer be y=287-66x

WILL GIVE LOTS OF POINTS, PLEASE HELP !!!!

Answers

Answer:

Terminal side in 2nd Quadrant

Only sin(x) & cosec(x) are positive in 2nd Quadrant

[tex] \sin( x ) = \frac{5}{13} \\ [/tex]

Perpendicular=5

Base=√(13²-5²)=√(169-25)=√144=√12²=12

Hypotenuse=13

[tex] \cos(x)= - \frac{12}{13} \\ \tan(x) = - \frac{5}{12} \\ \cosec(x) = \frac{13}{5} \\ \sec(x)= - \frac{13}{12} \\\cot(x) = - \frac{12}{5} [/tex]

What is the area, in square feet, of the trapezoid below?


Please help
See the picture

Answers

Have a look at the attachment

Select the correct answer. What are the zeros of the function y = x (x - 2) (x + 6)^2?
A. -6, 0, and 2

B. -6, 0, 2, and 6

C. -2, 0, and 6

D. -6 and 2​

Answers

Answer: -6, 0, 2

Step-by-step explanation:

Answer: -6, 0, 2

Step-by-step explanation:

A store marks up a laptop 150% from its original price of $299. There is a sale for 25% off all items in the store. What is the sale price for
the computer?
A $448.50
B. $336.38
C. $225.00
D. $112.13
Show work

Answers

Answer:

B.336.38

Step-by-step explanation:

I have experience this question before

please help me ill give 20 points and mark brainliest

Answers

Answer:

y=1/2x-1

Step-by-step explanation:

The slope is 1 over 2, and the y intercept is -1

Hope it helps!

If you can help comment please

Answers

Answer:

well the range is -9 to 11 also written as -9 < x < 11

Step-by-step explanation:

A motorcycle is traveling down the highway at a speed of 90 mph, if he covered a distance of 212 miles how long has he been traveling for? show work if you can

Answers

Answer:

2 hours 23 minutes i think

What is the relationship between the shade at Ingles in the diagram?(<1 and <2)


Using the diagram from #1, if m<1 = 56 degrees, what is the m<2?

Answers

Answer:

Alternate interior angles

56 degrees

? - 20.8 = 41.06

Please help

Answers

Answer:

61.86

Step-by-step explanation:

41.06+20.8= 61.86

61.86-20.8=41.06

JAMIE HAD 284 PIECES OF CANDY ,JAYLON HAD 57 MORE PIECES THAN JAMIE,HOW MANY PIECES DID THEY BOTH HAVE

Answers

Answer:

the answer is 625

Step-by-step explanation:

Jamie 284

Jaylon 284 and he had 57 more =341

284 + 341 = 625

Adinah and her friend planted a maple tree. The expression 3.1a + 5.2 can be used to find the height of the tree, in feet, after a years. How tall is the tree when a = 9

Answers

Answer:

33.1

Step-by-step explanation:

The tree would be 33.1 feet in 9 years.

the problem i put in my calculator is 3.1 * 9 + 5.2 , this is because if there is no sign indicating to add, subtract ect. you will multiply

Find the slope of the line going through the given pair of points.
(6,-4) and (6,-1)

Please help!!

Answers

Answer:

No slope

Step-by-step explanation:

There is no slope because it is a vertical line.

Pls help 6th grade math

Answers

Answer:

60% of 500 is 300 and 40% of 500 is 200. 300-200=100

Step-by-step explanation:

Answer:

100 more students

Step-by-step explanation:

500*0.4 = 200

500*0.6 = 300

300-200 = 100

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