Answer:
−143x^3y^5
Step-by-step explanation:
Mean is the average. So you add up all the numbers and divide by how many numbers there were.
Mode is the number that occurred the most.
Median is the number that is in the middle when you list the numbers from least to greatest or greatest to least.
Range is calculated when you subtract the biggest number in the group by the smallest number.
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
You would multiply 2.75 by 50, which is 137.5 miles
Answer:
true
Step-by-step explanation:
3 + (5 + 7) = (3 + 5) + 7
3 + (12) = (8) + 7
15 = 15