HELP
Please help me

Given:

Vertex of a quadratic function is at (3,-10).

The quadratic function passes through the point (0,8).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]              ...(i)

Where, (h,k) is vertex and a is a constant.

Vertex of a quadratic function is at (3,-10). So, [tex]h=3,k=-10[/tex].

[tex]y=a(x-3)^2+(-10)[/tex]

[tex]y=a(x-3)^2-10[/tex]              ...(ii)

The quadratic function passes through the point (0,8).

Putting [tex]x=0,y=8[/tex] in (ii), we get

[tex]8=a(0-3)^2-10[/tex]

[tex]8+10=a(-3)^2[/tex]

[tex]18=9a[/tex]

Divide both sides by 9.

[tex]2=a[/tex]

Putting [tex]a=2[/tex] in (ii), we get

[tex]y=2(x-3)^2-10[/tex]

Therefore, the correct option is J.

Answer:

209.46

Step-by-step explanation:

subtract $357.45, $97.99, and $50 and

you'll get $209.46

Answer: B

Step-by-step explanation:

18%/38%= about 47%

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Answer:

Option C,  

Calculating permutations can be used in all of following except assisting computer programmers

Step-by-step explanation:

Permutations is basically used in cases where there is some sort of patterning involved in it.

In case of seating arrangements at a wedding, survey and placing items into a display some kind of pattern will be followed.

Hence, option C

Answer:

survey results

Step-by-step explanation:

I got it right

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

The guy above me is wrong but I know the correct answer and the correct answer is 46 and you get this by adding all your numbers together then dIvide the number that you got by however many numbers you added together and that is how you get 46

PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You multiply 8 and 25

Answer:

A. 8 feet

Step-by-step explanation:

96 = 12 (x)

96/12 = x

8 = x

Answer:

The GCF is 12t

Step-by-step explanation:

Here, we want to calculate the greatest common factor of the given polynomials

To do this, we need to write each as the product of its prime factors

We have this as;

48t = 2 * 2 * 2 * 2 * 3 * t

60st = 2 * 2 * 3 * 5 * s * t

we then bring out pairs of similar terms

So the GCF would be;

2 * 2 * 3 * t = 12t

Answer: The slope intercept is at (0,5)

Step-by-step explanation: This is because the line intercepts the y-axis at (0.5).

Answer:

150

Step-by-step explanation:

us I'd send bag I'd send veg svdudhvgdkdbdbdudduddh

The question is incomplete, let's take an hypothetical value for the Area of the circle ;

Let the are aid the circle = x in²

Answer:

Kindly check explanation

Step-by-step explanation:

The scale factor = 5/4

The initial area of square = x in²

The area of the circle after dilation will be :

Scale factor * initial area of circle

5/4 * x in²

Area after dilation = 5/4(x) in²

Just substitute the original value of the square for X in the solution to obtain the exact answer.

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

I think the answer is -5.

Answer:

its 100 so it would literally just be 100 - 21

Step-by-step explanation:

Answer:

u = 2√3 ≈ 3.46410162

Step-by-step explanation:

Because this is a right triangle, you can use the trigonometric formulas:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

Here, we have the measure of an angle, 60°. Side u is opposite to it and the hypotenuse, 4, is given. We can use these numbers to work with:

sine = opposite side/hypotenuse

sin(60) = u/4

sin(60)/1 = u/4

Cross multiply:

u = 4 (sin(60))

Input into calculator:

u = 2√3 ≈ 3.46410162

Answer:

1/676

Step-by-step explanation:

In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)

P( red 8)  = number of red 8's/ total

               = 2/52 = 1/26

Then we put the card back so there are still 52 cards

In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)

P( black)  = number of black 10's/ total

               = 2/52 = 1/26

Multiply the probabilities together

P( red 8, black 10) = 1/26 * 1/26 = 1 /676

Answer:

The number of nickels is 47

Step-by-step explanation:

1 nickel is 5 cents while 1 quarter is 25 cents

let the number of nickels be n and the number of quarters be q

From the question;

the number of nickels n is 8 more than half the number of quarters (q/2)

n = q/2 + 8

(n-8) = q/2

q = 2(n-8) = 2n - 16 ••••(i)

let us convert $21.85 to cents

there are 100 cents in $1

Thus; $21.85 will be 21.85 * 100 = 2185 cents

1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents

1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents

The addition of both will give 2185 cents

Thus;

5n + 25q = 2185 ••••••(ii)

Substitute equation i into ii

5n + 25(2n-16) = 2185

5n + 50n - 400 = 2185

55n = 2185 + 400

55n = 2,585

n = 2,585/55

n = 47 nickels

Answer:

Step-by-step explanation:

How many meters are equal to 4,581 centimeters?

100cm = 1m

4581 cm = x

Use how the placement of the decimal point changes when dividing by a power of 10 to help you

Answer:

A is correct ..............

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

Answer:

84 miles

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A. QRP≅UTV

Step-by-step explanation:

Q is congruent with U.

R is congruent with T.

P is congruent with V.

Let me know if that helps!

Answer:

C.

represent 0

hope it helps

(rounded by the nearest tenth .79>.8)

Formula:

A=2⋅π⋅r⋅h+2⋅π⋅r^2

Equation:

Answer:

4ft

Step-by-step explanation:

500=pir^2h

r^2=500/(10*pi)

r=3.989ft

Answer:

15

Step-by-step explanation:

Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

C = the square root of A squared + B squared.

plug in the numbers

C = the square root of 9 squared + 12 squared = 15

Answer:

15

Step-by-step explanation:

[tex] {9}^{2} + {12}^{2} = c ^{2} \\ 81 + 144 = {c}^{2} \\ 225 = {c}^{2} \\ \sqrt{225} = c \\ \sqrt{225} = 15[/tex]