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I am Lyosha [343]

3 years ago

9

Solve for x. s=3w+2x

1 answer:

trapecia [35]3 years ago

6 0

W equal -2/3x+1/3s and that’s it

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Tyler has 485 pieces of candy. He has 5 bags that he wants to fill the candy in. How many

Degger [83]

Answer:

97 in each bag

Step-by-step explanation:

485÷5=97

97*5=485

8 0

2 years ago

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You randomly select one card from a 52-card deck. Find the probability of selecting a black three or a red jack ) The probabilit

matrenka [14]

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2 black 3s and 2 red Jacks, 4 cards out of 52.

8 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

3 years ago

The 2006 Guinness Book of World Records for the heaviest man was Manuel Uribe. He weighed 1,230 pounds. How many ounces did he w

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He weigh 19680 ounces

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3 years ago

Jack and Peter each have the same amount of money in their wallets. They went to the store together and decided to buy some cook

Free_Kalibri [48]

Answer:

Yes they do.

Step-by-step explanation:

You know this because if they show up to the store with the same amount of money and SPLIT the amount of money for the cookies, they will still have the exact same amount.

7 0

3 years ago

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