Start with the simplest equation of a straight line: y = mx + b.
Subst. 1 for m, 2 for x and 4 for y. Then, 4 = 1(2) + b, or b = 2.
In slope-intercept form, the equation of this line is y = x + 2.
[ Answer ]

[ Explanation ]
- Simplify: 5(x + 3)(x + 2) - 3(x2 + 2x + 1)
--------------------------------------
- Add Similar Elements: 2x + 2x = 4x
5(x + 3)(x + 2) - 3(4x + 1)
- Expand: 5(x + 3)(x + 2) - 3(4x + 1):
+ 25x + 30
+ 25x + 30 - 3(4x + 1)
- Expand: - 3(4x + 1): -12x - 3
+ 25x + 30 - 12x - 3
- Simplify:
+ 25x + 30 - 12x - 3:
+ 13x + 27
=
+ 13x + 27
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Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
Answer:
The percent of students who scored below 62 is 2.3%.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the empirical rule, is used to represent that 68.27%, 95.45% and 99.73% of the values of a Normally distributed data lie within one, two and three standard deviations of the mean, respectively.
Then,
- P (-1 < Z < 1) ≈ 0.6827
- P (-2 < Z < 2) ≈ 0.9545
- P (3 < Z < 3) ≈ 0.9973
Given:
μ = 78
σ = 8
<em>X</em> = 62
Compute the distance between the value of <em>X</em> and <em>μ</em> as follows:

Use the relation P (-2 < Z < 2) ≈ 0.9545 to compute the value of P (Z < -2) as follows:

The percentage is, 0.02275 × 100 = 2.275% ≈ 2.3%
Thus, the percent of students who scored below 62 is 2.3%.
Answer:
A. 43
Step-by-step explanation: