Choose all the equations for which x=3 is a solution
2 answers:
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Answer:
initial velocity = 64 m/s
Step-by-step explanation:
Differentiate H = 64t - 16t² to find an equation for velocity:
Velocity = = 64 - 32t
Initial velocity (u) is when t = 0:
u = 64 - 32(0)
⇒ u = 64 - 0
⇒ u = 64 m/s
Answer:
Step-by-step explanation:
Given that four people are on the team. Members will be chosen randomly to serve as chairperson, treasurer, secretary, or timekeeper
Since one person cannot serve two posts we have total number of ways
= 4(3)(2)(1) = 24
If Noor is chair person and Qu treasurer then remaining 2 can take two posts in 2 different ways
So probability that Noor is selected to be chairperson and Qu is selected to be treasurer
=favourable outcomes/total outcomes
=
Answer:
31. 1) Vertical shift up 4 units.
2) Horizontal shift right 1 unit.
3) Vertically stretched by a factor of 3.
32.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
- If , the function is shifted up "k" units.
- If , the function is shifted down "k" units.
- If , the function is shifted left "k" units.
- If , the function is shifted right "k" units.
- If , the function is reflected over the x-axis.
- If and
, the function is stretched vertically by a factor of "b".
31. Given the function and the function
, we can notice that the transformations from the graph of f(x) to the graph of g(x) are:
1)
2)
3) , being
Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:
1) Vertical shift up 4 units.
2) Horizontal shift right 1 unit.
3) Vertical stretch by a factor of 3.
32. Knowing the parent function:
And given the transformations:
1) Reflection over the x-axis.
2) Horizontal shift left 3 units.
3) Vertical shift up 7 units.
We can define that the function g(x) is: