Answer:
y= 704.5x - 409
Step-by-step explanation:
Complete question is : . Complete the equation for the relationship between the altitude and number of hours.
SOLUTION
By plotting altitude on y-axis and time or duration of travel on x-axis of the graph, we will have the the location of Nour at t = 0 will be represented by (0, -409)
when t = 2 hours location points will be at (2, 1000).
As you know, at a constant rate her altitude is increasing , we will have a linear graph with equation y = mx + b --> eq(1)
Slope of the line is given by:
m= (y-y') / (x-x') => (1000+409)/(2-0)
m= 704.5
y-intercept 'b' is -409
Therefore, the eq(1) will become
(1)=> y= 704.5x - 409
Where, 'y' represents Nour's altitude(in meters) relative to sea level after 'x' hours
B. b(x) = (50x) - 150
C. f(x) was moved down 150 units
I hope this helps!
Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
Let
x----> the height of cone B
using proportion
note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2
the factors are then ( x - 1 ) and (x + 2)
and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2
thus x² + x - 2 is a factor
dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5
the third zero is x = 5
check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0
