Given the graph of y=f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of y=f(x−4)+3.
2 answers:
Answer:
See graph in attachment.
Step-by-step explanation:
The graph of is a parabola that has its vertex at the origin.
The equation of the transformed graph is
The vertex of this transformed function is
Drag the blue graph up so that the vertex will now be at (4,3).
See graph in attachment.
The graph of the function f(x),which is in the shape of parabola has vertex at (0,0).
→y=x²
f(x)=x²
Now, the graph of f(x) is translated by 2 units in horizontally right Direction.
→ y=(x-2)²
f(x-2)=(x-2)²
Now, we have to obtain the graph of the function
→y=f(x-4)+3
y=(x-4)²+3
The function , f(x-2) is shifted , 2 unit right in Horizontal right direction and, 3 unit up in vertically Upward direction.
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We have the mean, μ = 20 and the standard deviation, σ = 4
X ≈ N(20, 4²)
We want P(X<15)
Standardising gives
P(X<15) = P(Z<
)
P(X<15) = P(Z< -1.25) ⇒ When the value of the z-score is negative, we will read the value of z<1.25 on the z-table then subtract the answer from 1
P(X<15) = 1 - P(Z<1.25)
P(X<15) = 1 - 0.8944
P(X<15) = 0.1056
Hence, the probability that pizza takes less than 15 minutes to be delivered is 0.1056 = 10.56%
X ≈ N(20, 4²)
We want P(X<15)
Standardising gives
P(X<15) = P(Z<
P(X<15) = P(Z< -1.25) ⇒ When the value of the z-score is negative, we will read the value of z<1.25 on the z-table then subtract the answer from 1
P(X<15) = 1 - P(Z<1.25)
P(X<15) = 1 - 0.8944
P(X<15) = 0.1056
Hence, the probability that pizza takes less than 15 minutes to be delivered is 0.1056 = 10.56%
Answer:
Two possible solutions
Step-by-step explanation:
we know that
Applying the law of sines
we have
step 1
Find the measure of angle A
substitute the values
The measure of angle A could have two measures
the first measure------->
the second measure ----->
step 2
Find the first measure of angle C
Remember that the sum of the internal angles of a triangle must be equal to
substitute the values
step 3
Find the first length of side c
substitute the values
therefore
the measures for the first solution of the triangle are
,
,
,
step 4
Find the second measure of angle C with the second measure of angle A
Remember that the sum of the internal angles of a triangle must be equal to
substitute the values
step 5
Find the second length of side c
substitute the values
therefore
the measures for the second solution of the triangle are
,
,
,