Answer:
He can paint 2 walls in an hour and it will take him a 1/2 hour to paint one wall.
Step-by-step explanation:
Trust me I know.
Answer:
Equation: y = x²
Equation: f(x) = 2(x + 1)² - 1
Step-by-step explanation:
Equation: y = x²
- when x = -2, y = (-2)² = 4 ⇒ (-2, 4)
- when x = 0, y = (0)² = 0 ⇒ (0, 0)
- when x = 2, y = (2)² = 4 ⇒ (2, 4)
Equation: f(x) = 2(x + 1)² - 1
f(-2) = 2(-2 + 1)² - 1
= 2(-1)² - 1
=2(1) - 1
= 1
Therefore, (-2, 1)
f(0) = 2(0 + 1)² - 1
= 2(1)² - 1
=2(1) - 1
= 1
Therefore, (0, 1)
f(2) = 2(2 + 1)² - 1
= 2(3)² - 1
=2(9) - 1
= 17
Therefore, (2, 17)
Answer:
Consistent and dependent
Step-by-step explanation:
Given
Required
The words that describe the equations
Make y the subject in (2)
Collect like terms
Divide through by 2
Substitute: in (1)
Collect like terms
Solve for x
Simplify
Substitute in
So, we have:
and
<em>The system is consistent because it has at least 1 solution</em>
<em>The system is dependent because it has more than 1 solution</em>
Answer:
The slope is 3/2.
Step-by-step explanation:
The slope of a line is the relationship between the change of the y-variable and the change of the x-variable. It can be denoted as m = (y2-y1)/(x2-x1), and in layman's terms, it is known as rise over run.
You always can obtain the slope of a line with two points. From this line, for example, I can tell that points (0, 20) and (20, 50) are on the line.
To find the slope of the line, we must first find out what x1, x2, y1, and y2 are. x1 and y1 are the x- and y- coordinates of the first point, and x2 and y2 are the x- and y-coordinates of the second point. With this, we now know that x1 = 0, y1 = 20, x2 = 20, and y2 = 50. We now subsitute this into the formula.
m = (y2-y1)/(x2-x1)
m = (50 - 20)/(20 - 0)
m = (30)/(20)
m = 3/2
Now we know that the slope of the line is 3/2.
11/3 as an improper fraction and 3 2/3 as mixed number form
