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mylen [45]
3 years ago
7

The graph below shows the solution to which system of inequalities?

Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Given:

The graph of system of inequalities.

To find:

The inequalities.

Solution:

From the given graph it is clear that dotted line is a vertical line parallel to the x-axis and one unit above the x-axis. So, the equation of dotted line is

y=1

The area below the dotted line is shaded. It means, y values must be less than 1. So, the required inequality for dotted line is

y         ...(i)

Solid line passes through (-5,-5), (0,0) and (5,5). It means y is directly proportional to x with 1 as constant of proportionality. So, the equation of solid line is

y=x

The area above the solid line is shaded. It means, y values must be greater than or equal to x. So, the required inequality for solid line is

y\geq x      ...(ii)

So, the system of inequalities have inequalities y and y\geq x.

Therefore, the correct option is D.

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The function f(t)= 5 tan 2 t, does not have an amplitude and has a period of π.
trasher [3.6K]

ANSWER

False

EXPLANATION

The tangent function has no amplitude because it is not bounded.

The given tangent function is

f(t) = 5 \tan(2t)

This is of the form

f(t)=a tan(bt)

The period is given by

T =  \frac{\pi}{ |b| }

T =  \frac{\pi}{ |2| }  =  \frac{\pi}{2}

The first statement is true but the second is false.

Hence the whole statement is false.

8 0
3 years ago
Read 2 more answers
The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje
algol13

Answer: 116\text{ joules}


Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression \frac{1}{2}mv^2 , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.

Thus, the kinetic energy of baseball=\frac{1}{2}(0.145)(40)^2

\frac{1}{2}(0.145)(1600)=116\text{ joules}

3 0
3 years ago
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What are the zeros of x^3 - 18x^2 +107x -210
trapecia [35]

Answer:

(−7)(−6)(−5) so the zeros are 5, 6, &7

Step-by-step explanation:

4 0
2 years ago
Could these side lengths make a right triangle, 12m, 35m and 37m
natta225 [31]

Answer:

Yes

Step-by-step explanation:

Using Pythagorean theorem WHICH ONLY WORKS FOR RIGHT TRIANGLES,

a^2+b^2=c^2 where a and b are the two shortest legs.

12^2+35^2=c^2

144+1225=c^2

c^2=1369

c=\sqrt{1369}

c=37

3 0
3 years ago
Answers please.....​
prisoha [69]

Step-by-step explanation:

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4 0
3 years ago
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