not exactly sure what to round to. but if you're ruining to the nearest hundred it would be : 82.87 and to the nearest tenth is would be : 82.9 (:
Answer:
x^2-3x-54
Step-by-step explanation:
(x+6)(x-9) Setup the roots
x^2-9x+6x-54 FOIL out the terms
x^2-3x-54 Add like terms together
Answer:
Gender, car
Step-by-step explanation:
Give the data above :
The categorical variables are : Gender and Car
The Gender are car variables represents non numeric variables written as strings and as such does not allow for numeric calculations such as addition, subtraction and so on, they are instead used to classify the observations in the data into discreet groups, the gender variable separates observations into Male and Female classes while, the car variable separates cars driven into distinct classes denoting the name of cars driven by each observation in the data. The other variables are of quantitative nature as they allow for numerical computation of the data values.
Answer:
P = 9
Step-by-step explanation:
When P = 9, we could multiply 9 to (2n+ 3).
We would get:
18n + 27
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Have a great summer :)
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)