Answer:
x = - 1, x = 1, x = 2
Step-by-step explanation:
The coefficients of the polynomial sum to zero, that is
- 1 + 2 + 1 - 2 = 0
This indicates that x = 1 is a zero
let x = - 1, then
- (- 1)³ + 2(- 1)² + (- 1) - 2 = 1 + 2 - 1 - 2 = 0
Thus x = - 1 is a zero
let x = 2
- (2)³ + 2(2)² + 2 - 2 = - 8 + 8 + 2 - 2 = 0
Thus x = 2 is a zero
The 3 zeros are x = - 1, x = 1, x = 2
Answer:
-11/6
Step-by-step explanation:
Slope can be found with this equation:
(y₁ - y₂) / (x₁ - x₂)
What this essentially tells us to do is to put one set of the x and y coordinates into x₁ and y₁, respectfully. Then, put the other set of x and y points as x₂ and y₂.
With this scenerio, we can substitute the given points into the formula.
(6 - (-5)) / (-4 - 2) =
(6 + 5 ) / (-6) =
11 / (-6) =
-11/6
The slope is - 11/6
Answer:
The answer is x = 5.
Step-by-step explanation:
Given:
Δ ABC is an Isosceles triangle with AB = CA
m∠ ABC = ( 6x + 4 )°
m∠ BAC = 73°
m∠ BCA = ( 8y - 7 )°
To Find:
x = ?
Solution:
Properties of an Isosceles Triangle.
- Base angles or two angles are equal.
- Any two sides are equal.
Here , Δ ABC is an Isosceles triangle with AB = CA
∴ m∠ BAC = m∠ BCA

∴ m∠ BCA = ( 8y - 7 )°
= 8 × 10 - 7
m∠ BCA = 73 Which is same as ∠ CAB
Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

Substituting the values we get,

The answer is x = 5.
Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation

This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function
with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation

This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function
with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.