Which quadratic function has a vertex point of (3,5) and passes through the
point (-2,55)?

Answers

Answer 1

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23


Related Questions

ill mark brainlist plss help

Answers

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x

Answers

The answer is y=5^x. Good luck bud!

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

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Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)


Need help :::::::::::::::::

Answers

Answer:

2/3

Step-by-step explanation:

First, we read the two points with circles off the graph.

They are (-4, -5) and (5, 1).

slope = (y2 - y1)/(x2 - x1) = (-5 - 1)/(-4 - 5) = -6/(-9) = 2/3

Answer: 2/3

Giving brainliest!!!Please help.. :(

Select the statement that describes this expression: 5 x (3 + 4) − 4.

A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4

Answers

A is the answer 5 times the sum of 3 and 4 then subtract 4

Answer:

A

Step-by-step explanation:

A the anser is A deal with it...

20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?

Answers

Answer:

14 jackets

Step-by-step explanation:

20 plastic bottles=1 fleece jacket

280 plastic bottles=?

(280×1)÷20

=14

It would be 14 fleece jackets would be made

will give brainliest! number 4 it’s the pythagorean theorem

Answers

Ok so Here is the answer

How many roots does y=3x^2+8 have?

Answers

Answer:

This quadratic has two unequal, imaginary roots.

Step-by-step explanation:

y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots.  In this case they happen to be different (unequal), as well as imaginary.

Setting y = 3x^2 + 8 = 0, we get:

3x^2 = -8, or

x^2 = -8/3

Taking the square root of both sides, we get

x = ±i√(8/3) (2 imaginary roots)

I hate how i have to write things here

Answers

Answer: Question 1 is m=-7/4

Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

192

Step-by-step explanation:

8²+x²=16²

x=y

[tex]x = \sqrt{192} [/tex]

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Guthrie made the input-output table shown below.
Input (x)
1
2
3
Output (v)
4
7
10
13
4
Which of the following equations is true for all values in Guthrie's input-output table?
AI +3 = y
B :+7=y
C 3x+1=y
D) 4.1 - 1=y

Answers

9514 1404 393

Answer:

  C  3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

  m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

  C  3x +1 = y

__

If you check this against the table entries, you find it fits.

  3(1) +1 = 4

  3(2) +1 = 7

and so on.

What is the solution to the following system of linear equations?
Y=-31-9
2x + 3y = -13

A. (-3,-2)
B. (-3,0)
C. (2,3)
D. (-2,-3)

Answers

Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

Will mark brainliest hurryyy!!!
Given A=[-3 -4 1 0] B= [-7 -9 4 -1] and c=[-42 -20 5 4] What is the value of X in the matrix equation AX + B = C?

Answers

I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters.

Answers

Answer:

[tex] 48\pi \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of the cone (r) = XY = 4 m

Height of the cone (h) = WZ = 9 m

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ \cancel3} \pi {(4)}^{2}( \cancel9) \: \: \red{ \bold 3 }\\ \\= \pi \times 16 \times 3 \\ \\\purple {\bold {V_{cone} = 48\pi \: {m}^{3}}} [/tex]

A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?

a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg

Answers

James will need 115.08mg of medicine at the start of day 6.

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

x = -0.25 and y = -6
Solve the expression: xy

Answers

Answer:

If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5

Hope this helps!

Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.

Answers

Answer:

210 is my estimate

Step-by-step explanation:

Increase 33 to 40
Increase 67 to 70
Then 40x70 = 280

Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?

Answers

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

help me pleaseeeeeeeeeeeeeeeee

Answers

A + 15= 35
A +15-15=35-15
A=20

2b=20
2b/2=20/2
B=10

Britney is 10 years old

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?​

Answers

The answer to this equation is 17

What is the volume of a sphere with a radius of 6.9 ft

Answers

V=4/3 π•r^3
r=6.9 ft
V=4/3 π• (6.9)^3
V=4/3 π • 328.509 ft^3
V= π•438.012 ft^3
V= 1,375.35768 ft^3
V~ 1,375 ft^3

Find the value of x in the triangle shown below.
2
7
x

Answers

Answer:

[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]

Answer:

By using Pythagoras theorem we get

H²=p²+b²

7²=2²+x²

X²=7²-2²

X=√(49-4)=√45=3√5

Step-by-step explanation:

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x

Answers

Answer:

Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

56*10= 560

34+56= 90

90*10= 900

X is about 2 times the size of W so it would be

1:2 (W:X)

I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong

Please help me complete it PLEASE ASAP!!!!!!!!!

Answers

1= 12.5
2= 25
3= 37.5
4=50
5= 62.5

Area of a Parallelogram

Answers

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

its 80 feet if i am correct