The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
Greetings!This a line/equation represented in the
slope y-intercept form:
1)
Coordinates of a point in the line are shown by
y and
x.
2) The variable
m represents the
slope of the line.
3) The variable
b represents the
y-intercept (when the line hits the y-axis) of the line.
We only need 2 pieces of the information (listed above) in order to graph the line.
Using the information provided by the equation...
...we can graph the line.
We know that the slope is 3 (also shown as
) as m=3 We also know one of the coordinate points (0,-2) due to the y-intercept. Now, we can graph:
1) Plot your first coordinate point.
2)
Your next point would be 3 sqaures up and 1 square to the right (or 3 sqaures down and 1 square to the left; Doesn't really matter as:
This would result in a second coordiante point of
(1,1) Now that you have two points on the plane, you can use a ruler and pencil to connect the points, forming the line which represents the equation.
Hope this helped!
-Benjamin
Answer:
-2°F
Step-by-step explanation:
To convert temperatures from degrees centigrade to degrees fahrenheit, we use this formula;
(C × ) + 32 , where C is the temperature in degrees centigrade.
(-18.9°C × ) + 32 = -34.02 + 32 = -2.02°F
That is -2°F (rounded up to nearest degree fahrenheit)
Answer:
The domain is all real numbers.