There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
Answer: 200
Step-by-step explanation:
174 rounded to the nearest hundred is:
200
When rounding to the nearest hundred, like we did with 174 above, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
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Answer:
Step-by-step explanation:
on the picture
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Answer:
234 square inches
Step-by-step explanation:
We are given that
Length of book, l=11 in
Width of book, w=8 in
Height of book, h=1in
Additional area required to overlap=20 square inches
We have to find how many square inches of paper to make cover of one book.
We know that surface area of cuboid
Using the formula
Surface area of book
Total paper used to make cover of one book
=Surface area of book +additional surface area
=
Hence, Anwar will use paper to make cover of one book=234 square inches
3/10=15/50 and then 8/25=16/50
So, 3/10<8/25
