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alexira [117]
2 years ago
14

Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.

Mathematics
1 answer:
azamat2 years ago
8 0

The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

Read more about inequalities here.

brainly.com/question/25275758

#SPJ1

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Answer:

1:4

Step-by-step explanation:

A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.

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What is the rule for finding the distance of a point when the points are in the same Quadrant?
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Find the horizontal and vertical distance between the points. First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance.
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In a city school, 70% of students have blue eyes, 45% have dark hair, and 30% have blue eyes and dark hair. What is the probabil
Travka [436]

<u>Answer:</u>

The correct answer option is 43%.

<u>Step-by-step explanation:</u>

We are given that 70% of students have blue eyes, 45% have dark hair, and 30% have blue eyes and dark hair.

We are to find the probability of a student getting selected will have dark hair with blue eyes.

P(D|B) = P(D∩B) / P(B)

Substituting the given values in it to get:

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Rounding it to the nearest whole percent we get:

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3 years ago
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find
natta225 [31]

The tension in the cable is given by the newton's first law will be 163.622 N.

<h3>What is newton's first law?</h3>

The summation of the force is equal to zero.

The formula is given as

ΣF = 0

Where m is the mass of the body and a is the acceleration.

A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.

Then the tension in the cable will be

Let T be the tension in the cable.

T sin 29° + T sin 53° – 210 = 0

On simplifying, we have

T (sin 29° + sin 53°) = 210

                             T = 163.622 N

More about the newton's first law link is given below.

brainly.com/question/974124

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The two data sets show random samples of the costs, in dollars, of cars purchased at two dealerships yesterday.
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