Answer:
Step-by-step explanation:
f(x)=-4(x-2)²+3
put x-2=0
axis of symmetry is x=2
g(x)=-2(x²+8x)+15
=-2(x²+8x+4²-4²)+15
=-2(x+4)²+32+15
=-2(x+4)²+47
put x+4=0
axis of symmetry is x=-4
h(x) is minimum at x=1
axis of symmetry is x=1
3. -x²+-4x+-8
To solve:
−4x−5+−1(x²+3)
−4x+−5+−1x²+(−1)(3)
−4x+−5+−x²+−3
Combine like terms.
−4x+−5+−x²+−3
(−x²)+(−4x)+(−5+−3)
5.
It is not in standard form since this answer does NOT have x=, y=, #=. It only has the numbers. So, this is NOT in standard form.
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.
√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30
Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches
Answer = 120 inches
Nguyen saves 15% of his income
<h3>How to determine the percentage?</h3>
The given parameters are:
Savings = $120
Income = $800
The percentage saved is calculated as:
Percentage = Savings/Income * 100%
This gives
Percentage = 120/800 * 100%
Evaluate
Percentage = 15%
Hence, Nguyen saves 15% of his income
Read more about percentage at:
brainly.com/question/843074
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It is close to 200 because 150 or above would be rounded to 200. Below 150 would be 100