answer it is right at right write L.C.M
Answer:
Reflected over the x-axis, vertically shrunk by a factor of 1/5, moved right 4 units and up 2 units.
Step-by-step explanation:
Parent Graph: f(x) = a(bx - h)² + k
<em>a </em>is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis
<em>b</em> is horizontal stretch or shrink and reflection over y-axis
<em>h</em> is horizontal movement left (if positive) or right (if negative)
<em>k</em> is vertical movement up (if positive) or down (if negative)
Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2
<em>a</em> = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)
Nothing has changed <em>b</em>, so no horizontal stretch/shrink
<em>h</em> = -4, so horizontal movement right 4 units
<em>k</em> = 2, so vertical movement up 2 units
Answer:
a. 2^(x-2) = g^(-1)(x)
b. A, B, D
Step-by-step explanation:
the phrasing attached in the image is flagged as inappropriate, so i will be replacing it with g(x) and its inverse with g^(-1)(x)
1. replace g(x) with y and solve for x
y = log₂(x) + 2
subtract 2 from both sides to isolate the x and its log
y - 2 = log₂(x)
this text is replaced by the second image -- it was marked as inappropriate
thus, 2^(y-2) = x
replace x with g^(-1)(x) and y with x
2^(x-2) = g^(-1)(x)
2. plug this in to points A, B, C, D, E, and F
A: (2,1)
plug 2 in for x
2^(2-2) = 2⁰ = 1 so this works
B: (4, 4)
2^(4-2) = 2²= 4 so this works
C: (9, 3)
2^(9-2) = 2⁷ = 128 ≠ 3 so this doesn't work
(5, 8)
2^(5-2) = 2³ = 8 so this works
E: (3, 5)
2^(3-2) = 2¹ = 2 ≠ 5 so this doesn't work
F: (8, 5)
2^(8-2) = 2⁶ = 64 ≠ 5 so this doesn't work
Answer:
Step-by-step explanation:
Using either the critical value rule or the p-value rule, a conclusion can be drawn at a level of significance (alpha)
The null hypothesis: u = hypothesized mean
Alternative hypothesis: u > u0 or u < u0 for a one tailed test
Alternative hypothesis for a two tailed test: u =/ u0
To draw a conclusion by failing to reject the null hypothesis as stated then: using critical value
Observed z score > critical z score for both the one and two tailed test.
Or using p value:
P-value > alpha for a one tailed test
P-value > alpha/2 for a two tailed test
Thus, if a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis will also not be rejected at the same significance level.
Answer:
m= -1
Step-by-step explanation:
When writing an equation of a line, if I know more than one point, does it matter. The first method is to us the slope-intercept equation and plug in values to solve for b. 5. The slope-intecept equation would be y = 34 x + 2 (y−5)=34x−3 (isolate y). What is the equation in point-slope form of the line given (-2,3);
