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3 years ago

Can anyone help me on this fast plz.

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

5 0

False
False
True
True
False

damaskus [11]3 years ago

3 0

Answer:

2. false

3.true

4.true

5.false

Step-by-step explanation:

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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

Describe the graph of the function y= square root of x-7+3

TiliK225 [7]

Answer:

Step-by-step explanation:

y=sqrt(x-7)+3 is a transformed from the parent function y=sqrt(x) by the following:

right 7 units

up 3 units

5 0

3 years ago

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grandymaker [24]

Given :

Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.

To Find :

If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents the situation if Ryan wants to earn a minimum of $300.

Solution :

His total earning is given by :

T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)

T = 10x + 13y

Now, he wants to earn a minimum of $300 i.e T ≥ $300.

So, 10x + 13y ≥ 300

Hence, this is the required solution.

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3 years ago

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tamaranim1 [39]

Answer:

Step-by-step explanation:

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3 years ago

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If b is 50 degrees, what is the measure of angle d? (Write the number only)

DerKrebs [107]

Answer:

50º

Step-by-step explanation:

Angle D & B are vertical angles, meaning they are equal in measure.

So if Angle B = 50º, then Angle D must also be 50º.

Hope this helps! Have a great day!

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3 years ago

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