60%= 6/10= 3/5
10%= 1/10
1/10*3/5=3/50
The probability that it will snow and Amy will be late for school is 6%
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
= 
= -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
Answer:
- 5(x +1.5)^2
- 10(x +1)^2
- 1/4(x +2)^2
- 3(x +5/6)^2
Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
_____
<em>Additional comment</em>
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
Answer:
x² - 4x + 3
Step-by-step explanation:
When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.
(x−3)(x−1) Expand with FOIL
= x² - x - 3x + 3 Collect like terms
= x² - 4x + 3
Here is how to solve this:
18 +4 = 22 bulls
45 + 4 = 50 cows
The original ratio was, 18:45 but now its 22:50 so, no the ratio will not be the same.
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