Answer: 
This can be written out as g(x) = 1/(x-6) - 4
The "x-6" is in the denominator, while the "-4" is not.
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Explanation:
We'll start with the parent function 
When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).
So we have 
as an intermediate step.
Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".
Therefore, we end up with
Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.
Answer:
0.027
Step-by-step explanation:
The p-value for Jane's chi-square test for goodness of fit is computed by using value of test statistic and degree of freedom.
Using Excel function CHISQ.DIST.RT(7.24,2) for computing p-value for chi-square goodness of fit test. 7.24 is the value of test statistic and 2 is degree of freedom. The resultant value is 0.026783. By rounding off to three decimal places the required p-value is 0.027.
Tan² B = 4
(tan B)² = 4
tan B = ±2
Basic Angle
= tan^-1 2
= 63.4° (1dp)
B = 63.4°, 116.6°, 243.2°, 296.6°
Assuming you're actually supposed to present your answers in 0dp, then all answers apply.
The expected value is the sum of values multiplied by their probabilities.
... 15×(1/5+1/5) + 5×(3/5) = 6+3 = 9
The expected value of a single spin is 9 points.
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = 
![= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-5-2%7D%7B3-%5B-6%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-5-2%7D%7B3%2B6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-7%7D%7B9%7D%5C%5C)
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
2) (3 , -4) ; m= 3
)
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = ![\frac{0 - 3}{2-[-1]}](https://tex.z-dn.net/?f=%5Cfrac%7B0%20-%203%7D%7B2-%5B-1%5D%7D)
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
