Y = (x - 1)² + 2
y = (x² - x - x + 1) + 2
y = (x² - 2x + 1) + 2
y = x² - 2x + (1 + 2)
y = x² - 2x + 3
x² - 2x + 3 = 0
x = <u>-(-2) +/- √((-2)² 4(1)(3))</u>
2(1)
x = <u>2 +/- √(4 + 12)</u>
2
x = <u>2 +/- √(16)
</u> 2<u>
</u>x = <u>2 +/- 4
</u> 2<u>
</u>x = 1 <u>+</u> 2
x = 1 + 2 x = 1 - 2
x = 3 x = -1
y = x² - 2x + 3
y = (3)² - 2(3) + 3
y = 9 - 6 + 3
y = 3 + 3
y = 6
(x, y) = (3, 6)
or
y = x² - 2x + 3
y = (-2)² - 2(-1) + 3
y = 4 + 2 + 3
y = 6 + 3
y = 9
(x, y) = (-1, 9)
Substitute the given value of y into the equation y=7x+15
Move the variable to the left-hand side and change its sign
Collect like terms
Divide both sides of the equation by -5
Substitute the given value of x into the equation y=2x
Solve the equation for y
The possible solution of the system is the ordered pair (x,y)
Answer:
Mode = 2.60
Step-by-step explanation:
In statistics, mode means the number that occurs the most number of times.
Let's see the set of numbers:
{2.94, 2.60, 3.30, 2.53, 2.16, 4.65, 5.40, 6.71, 5.76, 3.67, 2.19, 2.60}
There are 12 numbers here. <em>Which number occurs more often? Most?</em>
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Looking at the list carefully, we see that 2.60 occurs twice and all other numbers occur single time. Hence the mode = 2.60
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
