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3 years ago

If the probability of two events occurring together is 0, the events are called

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

Answer:

disjoint

hope it helps plz mark me as brainliest

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Solve the following simultaneous linear equations by the substitution method.

anyanavicka [17]

Answer:

p = 2 and q = 2

Step-by-step explanation:

hope this helps please like and mark as brainliest

5 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

A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?

Andre45 [30]

To be honest I’m not sure but I believe it’s -7 if there’s anymore information please attach it along with your question

6 0

3 years ago

Read 2 more answers

POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER

neonofarm [45]

Answer:

Conjecture

Disjunction

Counterexample

Conjunction

Inductive reasoning

Conditional

Step-by-step explanation:

I used Quizlet and I knew most of them.

5 0

3 years ago

Read 2 more answers

Rewrite 2x+5y=3 using function notation

marishachu [46]

Answer:

Given f(x) = x2 + 3x – 1, find

a) f(1)

b) f(–1)

c) f(a)

d) f(x – 1)

Step-by-step explanation:

a) f(1) = (1)2 + 3(1) – 1 = 3

b) f(–1) = (–1)2 + 3(–1) – 1 = –3

c) f(a) = a2 + 3a – 1

d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1

= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3

5 0

3 years ago