Is (6, -4) a solution for the following system of equations?

I need help this question?

Masja [62]

Answer:

Correct answer: F. graph F or x ∈ |-5 ; 5| (including endpoints)

Step-by-step explanation:

Let us first define the absolute value:

| x | = 1. { x with condition x ≥ 0 }

or 2. { - x with condition x < 0 }

This is a linear inequality

1. x ≤ 5 ∧ x ≥ 0 ⇒ 0 ≤ x ≤ 5 or interval x ∈ |0 ; 5| (including endpoints)

2. - x ≤ 5 when we multiply both sides of the equation by -1 we get:

x ≥ -5 ∧ x < 0 ⇒ -5 ≤ x < 0 or interval x ∈ |-5 ; 0) (including -5)

The solution to this linear inequality is the union of these two intervals:

x ∈ |-5 ; 0) ∪ |0 ; 5| ⇒ x ∈ |-5 ; 5| (including endpoints)

x ∈ |-5 ; 5| (including endpoints)

God is with you!!!

7 0

3 years ago

Question

IRINA_888 [86]

Answer:

$m=\frac{5}{3}$

Step-by-step explanation:

Given the following question:

Point A = (-2, -9) = (x1, y1)
Point B = (1, -4) = (x2, y2)

To find the slope of a line, we will need to use the formula for slope or rise over run.

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{-4--9}{1--2} =\frac{5}{3}$
$m=\frac{5}{3}$

The slope of the given line is indeed "5/3."

Hope this helps.

7 0

2 years ago

If the standard deviation of the data values in a sample is 13, what is the

user100 [1]

Answer:

A. 169 is the correct answer

3 0

2 years ago

You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat

den301095 [7]

Answer:

a

$P(G) = 0.69$

b

$P(S | G) = 0.81$

c

$P(M|G') = 0.26$

Step-by-step explanation:

From the question we are told the

The probability of getting into getting into graduated school if you receive a strong recommendation is $P(G |S) = 0.80$

The probability of getting into getting into graduated school if you receive a moderately good recommendation is $P(G| M) = 0.60$

The probability of getting into getting into graduated school if you receive a weak recommendation is $P(G|W) = 0.05$

The probability of getting a strong recommendation is $P(S) = 0.7$

The probability of receiving a moderately good recommendation is $P(M) = 0.2$

The probability of receiving a weak recommendation is $P(W) = 0.1$

Generally the probability that you will get into a graduate program is mathematically represented as

$P(G) = P(S) * P(G|S) + P(M) * P(G|M) + P(W) * P(G|W)$

=> $P(G) = 0.7 * 0.8 + 0.2 * 0.6 + 0.1 * 0.05$

=> $P(G) = 0.69$

Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

$P( S|G) = \frac{ P(S) * P(G|S)}{ P(G)}$

=> $P(S|G) = \frac{ 0.7 * 0.8 }{0.69}$

=> $P(S | G) = 0.81$

Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as

$P(M|G') = \frac{ P(M) * (1- P(G|M))}{(1 - P(G))}$