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2 years ago

Which graph best represents the solution of the inequality y < |x + 2| – 1?

Mathematics

1 answer:

ollegr [7]2 years ago

4 0

Answer:

Step-by-step explanation:

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Five good light bulbs and two defective ones were mixed up unknowingly. To identify the defective ones for disposal, the bulbs a

Alexxandr [17]

Answer:

The probability of the event of identifying both the defective bulb in the second attempt is $\frac{1}{21}$ .

Step-by-step explanation:

The number of good light bulbs is 5 and the number of defective bulbs is 2.

It is provided that when a defective bulb is found in the inspection it is disposed.

If a defective bulb is found in the first trial the probability of his event is $\frac{2}{7}$ .

Now the remaining number of bulbs is 6.

If a defective bulb is found in the second trial the probability of his event is $\frac{1}{6}$ .

So the probability of identifying both the defective bulb in the second attempt is:

P (Selecting a defective bulb in 1st attempt) × P (Selecting a defective bulb in 2nd attempt) =

$=\frac{2}{7}\times\frac{1}{6} \\=\frac{1}{21}$

Thus, the probability of the event of identifying both the defective bulb in the second attempt is $\frac{1}{21}$ .

4 0

2 years ago

What is the inverse of the function y=x^2 - 12

Allushta [10]

Answer:

Interchange the variables and solve for y

inverse = y = ±√x+12

Step-by-step explanation:

y=x^2-12 becomes x=y^2-12

x+12=y^2

±√x+12=y

7 0

2 years ago

Simplify the expression.<br> 3.7-4.6n-3n + 6

prohojiy [21]

Answer:

−7.6n+9.7

Step-by-step explanation:

First, lets put the equation

≈3.7 - 4.6n - 3n + 6

Add light terms

−7.6n + 9.7

Now were done

4 0

2 years ago

which of the following equations of a line has an x-intercept at 4 and a y-intercept at -2? A. 2x-y =8. B 2x-y = 4. C x-2y =4. D

SashulF [63]

Choice C, x-2y=4, Subsitute 0 for y and see what x is. Do the same for the y-intercept

8 0

2 years ago

Deffense [45]

Tony's dorm is 7.5 miles far from the library.

Step-by-step explanation:

Given points are;

(4,0) and (12,6)

$x_1=4,\ \ \ \ \ \ \ y_1=0\\x_2=12,\ \ \ \ \ \ y_2=6$

Using point distance formula;

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$Distance=\sqrt{(12-4)^2+(6-0)^2} \\Distance=\sqrt{(8)^2+(6)^2}\\Distance=\sqrt{64+36}\\Distance=\sqrt{100}\\Distance=10\ units$

One unit represents 0.75 miles, therefore,

10 units = 0.75*10 = 7.5 miles

Tony's dorm is 7.5 miles far from the library.

Keywords: distance, multiplication

Learn more about multiplication at:

#LearnwithBrainly

5 0

3 years ago