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3 years ago

Please help. I've been stuck on this for 3 days. I just really need help.

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

Answer:

71.5

Step-by-step explanation:

x+1 so (1+10) x (21+5)= 286

but then 1+1=2 and 2x2= 4 so 286 divided by 4= 71.5

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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

A football coach wants to see how many laps his players can run in 15 minutes. During a non-mandatory meeting, the coach asks fo

mestny [16]

Answer:

Step-by-step explanation:

There are three reasons here why randomization is not being applied.

First, the coach is only observing football players attending the meeting. This is not representative of the entire team.

Second, there is no selection process. The coach isn't using a random generator or using a similar method.

Third, the players are volunteering for the test. The results will be biased because of this.

6 0

3 years ago

What are linear equations? Explain In full depth please

jasenka [17]

Answer:

, a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.

Step-by-step explanation:

y= 2x+1 is a linear equation

4 0

3 years ago

Find a a pair of numbers of both 4y-4x=48 and y= x-11

stich3 [128]

Answer:

There is no solution because the slopes of the line are the same.

Step-by-step explanation:

4y - 4x = 48

+ 4x + 4x Add 4x to both sides

4y = 4x + 48 Divide both sides by 4

y = x + 12

Now set both equations equal to each other since they equal y

x + 12 = x - 11

-x - x Subtract x from both sides

12 ≠ -11 No Solution

If this answer is correct, please make me Brainliest!

4 0

3 years ago

The marksobtained by a group of students in science test are 90, 49, 87, 74,80, 85, 49

Iteru [2.4K]

Answer:

1. Median refers to the central value of a collection of data

Therefore it is 73.4

2. Mode refers to the frequency of a value in a collection of data

It will be 49 as it is repeated 2 times

3. Range refers to The greatest number subtracted from the smallest number

Which will be 90-49=41

Hope this helps dude!

Please mark me as brainliest

7 0

3 years ago

Please help. I've been stuck on this for 3 days. I just really need help. ​

Please help. I've been stuck on this for 3 days. I just really need help.