Answer:
(i)
shifted left side by 5 units
(ii)
vertically stretch by 3 units
(iii)
shifted vertically downward by 2 units
Step-by-step explanation:
we are given
we can also write as
we can factor out 9
Firstly, we will identify parent function
step-1:
We can see that there is x+5 in place of x
so, f(x) will be shifted left side by 5 units
step-2:
3 is multiplied to sqrt
so, it is vertically stretch by 3 units
step-3:
-2 is added to y-value
so, it is shifted vertically downward by 2 units
Graph:
Answer:
6. D.
7. F.
8. A.
9. B.
10. C.
Step-by-step explanation:
6. 9 + (12 - 10)
12 - 10 = 2
9 + 2 = 11
7. (20 - 15) x 2
20 - 15 = 5
5 x 2 = 10
8. 10 ÷ 5 + 7
10 ÷ 5 = 2
2 + 7 = 9
9. 6 + 2 x 3
2 x 3 = 6
6 + 6 = 12
10. (2 x 4) + 8
2 x 4 = 8
8 + 8 = 16
Let me know if this helps!
Answer:
B
Step-by-step explanation:
The area between the curves y = d and y = f(x), between the limits x=a and x=b, is:
∫ₐᵇ (d − f(x)) dx
Alternatively, the area between the curves x = f(y) and x = a, between the limits y = c and y = d, is:
∫ᵈ (f(y) − a) dy
Answer A would give you the area between x = f(y) and the y-axis. It needs to include the − a term to be correct.
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180 >> add everything on the left side
2x + 194 = 180 >> subtract both sides by 194
2x = -14 >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44
<span>Standard deviation for mean of n objects = (square root n) x s.d. for one
object.
So you need (2.8/0.5)^2 or around 32.</span>
