Answer:
B
Step-by-step explanation:
Reflection in Y axis
P(X,Y)----------------------P`(-X,Y)
F(x)=2x+4/3
Replace f(x) by y:
y=2x+4/3
Solving for x:
y-4/3=2x+4/3-4/3
Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x
Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6
Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6 Inverse function
Then, for x=6
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3
Her hair will have grown 6 after 7/3 = 2.33 months
Answer: each hospice costs $4 and each shrub costs $9
Step-by-step explanation:
Let x represent the cost of one hospice.
Let y represent the cost of one shrub.
Mike spent $71 on four hospice and seven Travis. This means that
4x + 7y = 71- - - - - - - - - - - - -1
Danielle spent $53 on 13 hospice and three shrubs. This means that
13x + 3y = 53- - - - - - - - - - - 2
Multiplying equation 1 by 13 and equation 2 by 4, it becomes
52x + 91y = 923
52x + 12y = 212
Subtracting, it becomes
79y = 711
y = 711/79
y = 9
Substituting y = 9 into equation 1, it becomes
4x + 7 × 9 = 71
4x + 63 = 71
4x = 71 - 63
4x = 8
x = 8/4 = 2
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<span>Change 5'9" to 5.75 ft; let t = height of the tree
</span><span>You can use ratio here (corresponding sides of similar triangles):
5 x 75/ 5 = t/165
</span><span>cross multiply
5t = 5.75*165
5t = 948.75
t = 948.75/ 5
</span><span>t = 189.75 ft or 189 ft 9 inches</span>
First, find the mean. You'll need it to compute the variance.
The variance of the sample is then computed with the formula
The standard deviation is the square root of the variance, so
