The mistake was in the distributive property
4y-(5-9y) =4y-5-9y
It should’ve been 4y-5+9y
889/81= 10,97530864197531
Answer:
The coordinates of the dillated vertices are
,
,
and
.
Step-by-step explanation:
From Linear Algebra, we define dilation by the following equation:
(1)
Where:
- Center of dilation, dimensionless.
- Original point, dimensionless.
- Scale factor, dimensionless.
- Dilated point, dimensionless.
If we know that
,
,
,
,
and
, then the dilated points are, respectively:
Point A
(2)
![A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]](https://tex.z-dn.net/?f=A%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%202%5Ccdot%20%5B%281%2C1%29-%280%2C0%29%5D)

Point B
(3)
![B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]](https://tex.z-dn.net/?f=B%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%202%5Ccdot%20%5B%282%2C2%29-%280%2C0%29%5D)

Point C
![C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]](https://tex.z-dn.net/?f=C%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BC%28x%2Cy%29-O%28x%2Cy%29%5D)
![C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]](https://tex.z-dn.net/?f=C%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%202%5Ccdot%20%5B%284%2C1%29-%280%2C0%29%5D)

Point D
![D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]](https://tex.z-dn.net/?f=D%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BD%28x%2Cy%29-O%28x%2Cy%29%5D)
![D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]](https://tex.z-dn.net/?f=D%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%202%5Ccdot%20%5B%282%2C-1%29-%280%2C0%29%5D)

The coordinates of the dillated vertices are
,
,
and
.
A) Composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks is f[s(w)] = 50w + 25.
B) The unit of measurement for the composite function is flowers.
C) Number of the flowers for 30 weeks will be 1525.
<h3>What is a composite function?</h3>
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f[s(w)] = 50w + 25. and the number of flowers for 30 weeks is 1525.
Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks.
From the given data we will find the function for the number of flowers with time.
f(s) = 2s + 25
We have s(w) = 25w
f[(s(w)]=2s(w) + 25
f[(s(w)] = 2 x ( 25w ) +25
f[s(w)] = 50w + 25.
Part B: What are the units of measurement for the composite function in Part A
The expression f[s(w)] = 50w + 25 will give the number of the flowers blooming over a number of the weeks so the unit of measurement will be flowers.
Part C: Evaluate the composite function in Part A for 30 weeks.
The expression f[s(w)] = 50w + 25 will be used to find the number of flowers blooming in 30 weeks put the value w = 30 to get the number of the flowers.
f[s(w)] = 50w + 25.
f[s(w)] = (50 x 30) + 25.
f[s(w)] = 1525 flowers.
Therefore the composite function is f[s(w)] = 50w + 25. unit will be flowers and the number of flowers in 30 weeks will be 1525.
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You have to do this because the answe is the 2nx