Mathematics High School

1. What is the equation, in standard form, of a parabola that contains the following points? (1 point)
(-2, 18), (0.2). (4, 42)
Oy=-222 - 2x - 3
Oy=-3x2 + 2x - 2
Oy = 3x2 - 2x + 2
Oy=-2x2 + 3x + 2

Answers

Answer 1

Answer:

y=3x2−2x+2

Step-by-step explanation:

Standard form of equation of a parabola is [tex]y=ax^2+bx+c[/tex]

As it passes through points (−2,18), (0,2) and (4,42), each of these points satisfies the equation of parabola and hence

18=a⋅4+b⋅(−2)+c or 4a−2b+c=18 ........(A)

2=c ........(B)

and 42=a⋅16+b⋅4+c or 16a+4b+c=42 ........(C)

Now putting (B) in (A) and (C), we get

4a−2b=16 or 2a−b=8 and .........(1)

16a+4b=40 or 4a+b=10 .........(2)

Adding (1) and (2), we get 6a=18 or a=3

and hence b=2⋅3−8=−2

Hence equation of parabola is [tex]y=3x^2 -2x+2[/tex] and it appears as shown below

graph{3x^2-2x+2 [-10.21, 9.79, -1.28, 8.72]}

Related Questions

HELP IM DOING A MATH TEST PLSSSS 25 PTS

Answers

The answer is 5x^3/y^6 because:

the x to the negative 2 power goes up to be x to the positive 2 power and adds with 1 to be 3

And y at the top comes to the bottom to by y to positive 1 power and adds with y^5 to be y^6 power

1) (0, −2) and (2, 0)
2) (0, −2) and (−2, 0)
3) (0, 2) and (2, 0)
4) (0, 2) and (−2, 0)

Answers

Answer: (2; 0) and (0 ; -2 )

Step-by-step explanation:

equation of a circle [tex]x^2+y^2=4[/tex]  with a center (0;0)radius [tex]R=2[/tex] y=kx+b -equation of a straight line that has tangent points with a circle(2; 0) and (0 ; -2 ). these points are the solution to our problemProver that : [tex]\rm (2)^2+0^2=4 \ True \\\\ 0^2+(-2)=4 \ True[/tex]

Help, Fast!!! In class rn and need help!

Answers

Step-by-step explanation:

the answer is 2.........

Simplify this expression.
20.25 – 9 + 11
о
1
4
0 18.75
0
21?
0 40.75

Answers

Answer:

[tex]21\frac{3}{4}[/tex]

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as [tex]20\frac{1}{4}[/tex], because [tex]\frac{2025}{100}[/tex] = [tex]\frac{81}{4}[/tex] = [tex]20\frac{1}{4}[/tex]. So if we add [tex]20\frac{1}{4}[/tex] and 11, we would get [tex]31\frac{1}{4}[/tex]

Step 2: Solve

[tex]31\frac{1}{4} -9\frac{1}{2}[/tex]

Subtract the whole numbers

[tex]31-9=21[/tex]

Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

[tex]\frac{5}{4}-\frac{1}{2}[/tex]

LCM

[tex]\frac{5}{4}-\frac{2}{4} =\frac{3}{4}[/tex]

Therefore, the simplified expression to this is [tex]21\frac{3}{4}[/tex].

Learn more: https://brainly.com/question/403991

if there are 2.52 centimeters in 1 inch, how long in inches is a meter stick.

Hint: There are 100 centimeters in 1 meters. Round your answer to the nearest hundredth.

26.04 in

41.97 in

31.20 in

39.37 in​

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME IT WILL MEAN A LOT TO ME .

Answers

Answer:

19%

Step-by-step explanation:

Use a common measurement style. Generally, it is easiest to use decimal.

0.22 is given as a decimal.

19% means 19/100, in which, when changed to a decimal, you will move the decimal point to the left two place values, giving you the value of 0.19

For fractions, you will generally set it over 100 first, before finding the decimal. Remember that what you multiply to the denominator you must multiply to the numerator:

1/5 x (20/20) = 20/100

20/100 = 0.20

19% is the one that contains the least amount of calories from fat.

~

The first thing we need to do is convert all of the to the same unit: fractions, decimals, or percentages. So 1/5 is 0.20 and 19% is .19 so we have 0.20, 0.22, and 0.19
We do. least to greatest: 0.19, 0.20, 0.22 which is. 19%, 1/5, .22

como buscar a una perzona a qui en brainly

Answers

Answer:

can l

Step-by-step explanation:

can l? can l? can l~

simultaneous linear equation 2x+y=4 3x-y=2

Answers

Answer:

[tex]2x + y = 4 \\ 3x - y = 2 \\ y = 4 - 2x \\ 3x - (4 - 2x) = 2 \\ 3x - 4 + 2x = 2 \\ 3x + 2x = 2 + 4 \\ 5x = 6 \\ x = \frac{6}{5} \\ x = 1.2 \\ y = 4 - 2x \\ y = 4 - 2(1.2) \\ y = 4 - 2.4 \\ y = 1.6 \\ [/tex]

Step-by-step explanation:

Hope that this is helpful.

Have a great day.

BRAINLIEST to correct answer!

Answers

Answer:

Each circle contains shapes that all share at least one characteristic. Some shapes are contained in more than one circle because they share more than one characteristic.

The distance between any point of the circle and the centre is called the radius. All these circles have one.

Hope this helps!

HE IS CORRECT I GOT IT RIGHT

Joe has 10 bills in his wallet. The total amount of money is $34, and he has only $1 and $5 bills. If Joe has two more $5 bills than $1 bills, find the number of each type of bill that he has in his wallet. Use a system of equations to find the answer.

Answers

Answer:Joe would have 40$

he will have 7 5 dollar bills and 5 1 dollar bills

ABCD is a quadriateral Work out the length of BC Give you answer to 1 decimal place

Answers

Answer:

8.1

Step-by-step explanation:

It might be wrong I'm bad at solving triangles


Help me with both please!!

Answers

1. [tex]-4, |3-7|, 5, |2*(-3)-(-1)|[/tex]

2. a) -33

b) 34

c) -26

Explanation:

For #1: since absolute values cannot be negative, [tex]|3-7|[/tex] = 4, and

[tex]|2*(-3)-(1)|[/tex] = 7

For #2: Just work through the equations using P.E.M.D.A.S

suppose triangle ABC is reflected over the y-axis. if the distance between point B and the y-axis is 5, what is the distance between the y-axis and B'.

A. 5 units

B. 10 units

C. 2.5 units

D. 1.25 units

Needs to be answered quickly​

Answers

Answer:

A. 5 units

Step-by-step explanation:

When you reflect any shape over the y-axis, each point's distance from the y-axis will stay the same after it's reflected. Hopefully this helps!

15 points and brainliest
Simplify (Combine Like Terms).
.5x3+ 3x2−8x3−9x2+ 6
.−2y2+ 4x5+ 7y2−8 + 6x2

Answers

Answer:-5y-5

Step-by-step explanation:

A function is a type of
A.domain
B. range
C. relation
D. vertical line test

Answers

c! relation!

hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!

Answers

Step-by-step explanation:

the midpoint is (2,-3)

that is the answer

Answer:

the midpoint formula=(x1+x2)/2,(y1+y2)/2

then,

=(7-3)/2,(1-7)/2

=4/2,-6/2

=2,-3

Suppose that the relation G is defined as follows.
G={(9,-3), (-9, -1), (-9,8), (0,9)}
Give the domain and range of G.
Write your answers using set notation.
domain =
range =

Answers

Answer:

Loading,please wait...

Step-by-step explanation:

Two friends leave school at the same time, Sarah is heading due north and Beth is heading due east. One hour later they are 10 miles apart. If Sarah had traveled 8 miles from the school, how many miles had Beth traveled?

Answers

Answer: 6 miles

Step-by-step explanation:

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.

Final answer: Beth has traveled 6 miles after an hour.

Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle Beth will have traveled  6 miles.

PLEASE HELP!!! ill give you brainlest:)) TPWK!!!

Answers

Answer:

82m²

Step-by-step explanation:

split it into a rectangle and square

3x6=18

8x8=64

total area = 82

14-6=8
3*6=18
8*8=64
64+18=82
The answer is 82 square meters

para atrapar a un pez dos gaviotas se sumergen en el mar. la primera se sumerge 45cm y la otra 60cm. si el pez se encuentra a 50cm de profundidad cuál de las dos gaviotas está más cerca de alcanzarla​

Answers

Answer:

45

Step-by-step explanation:

esta a 5cm de distancia del pez mientras la otra está 10cm

What is the value of w in the equation
0.04w + 0.6= 2.4?

Answers

Answer: 45

Step-by-step explanation:

0.04w+0.6=2.4

Step 1: Subtract 0.6 from both sides.

0.04w+0.6−0.6=2.4−0.6

0.04w=1.8

w=45

Answer:

w = 45

Step-by-step explanation:

What is the value of w in the equation

0.04w + 0.6= 2.4?

0.04w + 0.6 = 2.4

0.04w = 2.4 - 0.6

0.04w = 1.8

w = 1.8 : 0.04

w = 45

-----------------------------

check

0.04 × 45 + 0.6 = 2.4

1.8 + 0.6 = 2.4

2.4 = 2.4

The answer is good

The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue candies in the bag, how many red candies are there

Answers

Answer:

25

Step-by-step explanation:

4/20 is 5 so 5*5 is 25 red candies

Answer:

25

Step-by-step explanation:

Divide 4 by 20 blue to get 5. Then multiply 5 by 5 to get 25.

tan(-212°) = _____.

-cot 32°
tan 32°
cot 32°
-tan 32°

Answers

the correct answer is: -tan 32degrees

3y=9-12x I need the slope for this equation and the steps giving 20 points and BRAINLIST

Answers

Let’s just say X is 1. That’s easy so 3y=9-12, 9-12 is -3. So 3y=-3, divide both sides by 3 and you get y=-1 so whatever c is you know it’s just -1 times X

Evaluate the given expression. P(9, 3)

Answers

Step-by-step explanation:

p=9

p=3

p-9=0

p-3=0

(p-9)(p-3)=0

p*2-3p-9p+27=0

p*2-12p+27=0

helppp
what is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope = rise / run

rise = 20

run = 10

20/10 = 2

Megan is running a 1 mile lap for 3 hours how many miles did she run

Answers

Answer:

Can you elaborate on the question, like is there a given for how long each lap takes?

Step-by-step explanation:

An investment of P=1237.50 is compounded annually with a 6.75% APR . Find the value of the investment after 5 and a half years.

Answers

Answer:

1772.43

Step-by-step explanation:

Given:

Principal P = 1237.50Interest rate r = 6.75% or 0.0675Number of compounds n = 1Time t = 5.5 years

Find the total:

[tex]A = P(1 + r/n)^{nt}[/tex][tex]A = 1237.5*(1+0.0675)^{5.5} = 1772.43[/tex]

Maria can weed the garden in 1.5 hours. If Janette helps her, they can finish the job in 30 minutes. How long does it take Janette to weed the garden alone?

Answers

1 hour. 1.5-30=1 hour

what is 2x divided by a

Answers

Answer:

By a what??

Step-by-step explanation:

Answer:

2x a =0

Step-by-step explanation:

there is nothing to explain thanks hope you'll get it

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