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2 years ago

Find the zeros of the function y = x^2-1.

2 answers:

7 0

The zeros of this function are 1 and -1
This is because you have to solve the problem as follows:

y=x^2-1
Replace y with 0, because we’re looking for the value of x when y is 0
0= x^2 -1
Add 1 to both sides to help get x alone
x^2= 1
Square root both sides to get x alone
x=+_1
Or
x= 1 and x= -1

kumpel [21]2 years ago

4 0

Answer:

Step-by-step explanation:

x^2-1=0

Add 1 to both sides of the equation.

x^2= 1

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x = ± √ 1

Any root of 1 is x = ± 1

First, use the positive value of the ±

to find the first solution.

x= 1

Next, use the negative value of the ±

to find the second solution.

x = − 1

The complete solution is the result of both the positive and negative portions of the solution.

x = 1 , − 1

You might be interested in

If the radius of a circle is 3.5 what is the area?

Gala2k [10]

Answer:

A= 12.25π or A≈ 38.48

Step-by-step explanation:

The area formula for a circle is A= πr².

A= πr²

A= π(3.5)²

A= 12.25π or A≈ 38.48

3 0

2 years ago

If x = 10, which lines are parallel? Check all that apply.

natita [175]

Answer:

b||c; c||d; b||d

Step-by-step explanation:

Substituting 10 for x, in the angle beside b we have

7(10)-5 = 70-5 = 65

In the angle beside c we have

10(10)+15 = 100+15 = 115

In the angle beside d we have

12(10)-5 = 120-5 = 115

In the angle beside we have

8(10)-25 = 80-25 = 55

The angle beside c has a vertical angle on the other side of c. This angle would be same-side interior angles with the angle beside b; this is because they are inside the block of lines made by b and c and on the same side of a, the transversal. These two angles are supplementary; this is because 65+115 = 180. Since these angles are supplementary, this means that b||c.

The angle beside c and the angle beside d would be alternate interior angles; this is because they are inside the block of lines made by c and d and on opposite sides of the transversal. These two angles are congruent; this means that c||d.

Since b||c and c||d, by the transitive property, b||d.

4 0

2 years ago

Read 2 more answers

What is the taxidistance between (2, 11) and (17, 40)?

Novosadov [1.4K]

15 and 29 or (15,29)

2 + 15 = 17

11 + 29 = 40

Hope it Helped!

6 0

2 years ago

Write an equation in slope-intercept form perpendicular to the given equation through the given point

Irina18 [472]

Answer:

y = (1/3)x - 4

Step-by-step explanation:

Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.

Start with the general slope-intercept form y = mx + b.

Insert the coordinates 6 and -2 into y = mx + b: -2 = (1/3)(6) + b, or

-2 = 2 + b. Thus, b = -4, and the desired equation is

y = (1/3)x - 4

6 0

2 years ago

A runner can run 2 miles in 14 minutes. At this rate, how many miles can he run in 70 minutes?

igomit [66]

Answer:

The answer is that the runner can run 10 miles in 70 minutes.

Step-by-step explanation:

To solve for the number of miles that the runner can run in 70 minutes, start by setting up the information given from the problem in the form of a proportion.

A proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In a proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The proportion for this problem will look like $\frac{2 miles}{14 minutes}=\frac{x}{70 minutes}$ . (x) will be used as the variable for the number of miles that the runner can run in 70 minutes.

To solve the proportion, start by cross multiplying to form an equation, and the equation will look like $(14)(x)=(2)(70)$ . Next, simplify the equation, which will look like $(14)(x)=140$ . Then, solve the equation by dividing both sides of the equation by 14, and it will look like $x=10$ . The final answer is that the runner can run 10 miles in 70 minutes.

4 0

2 years ago