Answer:
A. There is four times as much total fruit as pears.
Answer:
The sequence is the ratio of 4:8, or 16:32. This is because the sequence needs to be divided into 2 different factors in order for it to match. The sequence is...
add 4, add 8, add 16, continue on.
The formula is...
4 * x = sequence
In this case, <em>x</em> is the increasing factor. I substituted it due to the fact that it's a constantly increasing number, not just a straight-up number we can declare.
Answer:
Slope, m = 1100
y-intercept,c = 2491
Step-by-step explanation:
We are given the following in the question:
The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.
Comparing the above equation, to a general linear equation, we have,
where m is the slope and c is the y-intercept.
Comparing we get,
Slope, m = 1100
y-intercept,c = 2491
Interpretation:
- The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
- The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.
The discriminant D is found by this formula
D = b^2 - 4ac
there are 3 possible outcomes
1) If D is smaller than 0, ie D < 0, then there are no roots
2) If D is equal to zero (D = 0), then there is exactly one root. This root is rational assuming the coefficients are integers. This is called a double root
3) If D > 0, then there are 2 different roots. If D is a perfect square, then these two roots are rational numbers (aka fractions of whole numbers) assuming the coefficients are integers. If D is not a perfect square, then the two roots are irrational numbers.
