3 years ago

How to tell if a system of equations has no solution or infinitely many?

Mathematics

1 answer:

Alenkasestr [34]3 years ago

5 0

Non of the lines are the same, the equations are dependent linear equations.

You might be interested in

Consider a situation in which P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12. What is P(B and C)?

V125BC [204]

ANSWER

$P(B \: and \: C) = \frac{1}{6}$

EXPLANATION

Recall that,

$P(A \: and \: B)=P(A) \times P(B)$

But we were given that,

$P(A)= \frac{1}{8}$

and

$P(A \: and \: B) = \frac{1}{12}$

We substitute these values into the above formula to obtain,

$\frac{1}{12} = \frac{1}{8} \times P(B)$

This implies that,

$\frac{1}{12} \times 8=8 \times \frac{1}{8} \times P(B)$

This simplifies to,

$P(B) = \frac{8}{12}$

$P(B) = \frac{2}{3}$

So we can now find
$P(B \: and \: C).$

We use the same formula again,

$P(B \: and \: C) = P(B) \times P(C)$
We substitute the values to get,

$P(B \: and \: C) = \frac{2}{3} \times \frac{1}{4}$
We multiply out to get,

$P(B \: and \: C) = \frac{1}{6}$

7 0

3 years ago

Read 2 more answers

Find the length of AB pls and thank you

Ilya [14]

Answer:

x=4

AB=19

Step-by-step explanation:

in such a parallelogram the length of AD must be equal to the length of BC.

18x = 17x + 4

x = 4

AB = 4x + 3 = 4×4 + 3 = 19

3 0

3 years ago

Help me please its due today and have no idea how to do it. Its sooo confusing...

matrenka [14]

you need to add a picture, we can't see what it is

make a new question and attach a screenshot/picture of the problem <3

3 0

3 years ago

Which of the following BEST describes how to use the addition property of equality to isolate the variable m below?–6 = –3 + m

dezoksy [38]

I hope this helps you -6=-3+m m=-3

6 0

3 years ago

Read 2 more answers

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

jarptica [38.1K]

Answer: 3 zeroes.

Explanation:-

The fundamental theorem of algebra states that any polynomial with degree m>0 and complex coefficients has atleast one complex root.
Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is $f(x)=4x^3-x^2-2x+1$

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

8 0

4 years ago

Read 2 more answers