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3 years ago

How would you limit the domain to make this function one to one f(x)=5-x^2

Mathematics

1 answer:

Maksim231197 [3]3 years ago

8 0

Answer:

choose x ≥ 0 or x ≤ 0

Step-by-step explanation:

The vertex of the parabola is at x=0. If values of x are included from both sides of the vertex, the function will not pass the horizontal line test. So, the domain must be limited so that it does not include both positive and negative values of x.

The domain could be x ≥ 0, or x ≤ 0, or some subset of either of these intervals.

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-2(21/4)+-2(13/4) what is the answer

sergij07 [2.7K]

Answer:

-17

Step-by-step explanation:

-2(21/4)-2(13/4)

-(21/2)-26/4

-21/2-26/4

-42/4-26/4

-68/4

-17

4 0

3 years ago

Read 2 more answers

Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approxi

kifflom [539]

Answer:

653.84 lbs.

Step-by-step explanation:

To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.

The x component of the 300 lb force is 300cos(60)=150 lbs.

The y component of the 300 lb force is 300sin(60)= $300*\frac{\sqrt{3} }{2} =259.81\\$ lbs.

The x component of the total force is the sum of the x components of the two forces.

Fx=150+450=600

Fy=259.81

The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.

F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.

4 0

3 years ago

Read 2 more answers

Use always, sometimes or never to make a true statement:

viva [34]

Answer:

1. Intersecting lines are always coplanar

2. Two planes never intersect in exactly one point

3. Three points are always coplanar

4. A plane containing two points of a line always contains the entire line

5. Four points are sometimes coplanar

6. Two lines never meet in more than one point.

7. Two skew lines are never coplanar

8. Line TQ and Line QT are always the same line.

Step-by-step explanation:

Note: Coplanar means "In the same plane"

1. Each line exist in many planes. But different lines must share at least one plane for them to intersect. That is why intersecting lines are always coplanar.

2. Two planes never intersect at exactly one point because only lines intersect at a point. Planes can only intersect along a line.

3.Three points are always coplanar because in geometry, a group of points are coplanar because there is a geometric plane that they all lie on.

4. A plane containing two points of a line always contains the entire line. Yes

5. Four points are only sometimes coplanar because there is a probability that they may all not lie on the same plane

6. Two lines never meet in more than one point because lines are basically straight and cannot bend over to intersect at another point

7. Two skew lines are never coplanar because skews lines are lines that do not intersect and are never parallel.

8. Line TQ and Line QT are always the same line because a line is straight and extends from one point to the other. So, if a line is labelled TQ calling it QT means the same thing

4 0

3 years ago

Which statement is true about the equation? 3y-6x=-3

Mekhanik [1.2K]

B.When x=-4, y=-9 and when x=2, y=3.

3y-6x=-3
3(-9) - 6(-4)= -3
-27 +24 =-3
-3 = -3


3y-6x=-3
3(3) -6 (2) = -3
9 - 12 = -3
-3 = -3

8 0

4 years ago

What is the side length a in the triangle below?

grigory [225]

Answer:

a=5

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

13^2-12^2=a^2

169-144=a^2

25=a^2

5=a

8 0

3 years ago