F(x)=5x^2 Has minimum (0,0)
g(x) = f(x) + 2 Shifts the graph two units up, then the minimum is 2+0=2.
h(x) = g(x+4) Shifts the graph four units left, then the minimum is at 0-4 = -4.
Then h(x) = 5(x+4)^2 + 2 has the minimum (-4,2)
And p(x) = -5(x+4)^2 + 2 has the maximum (-4,2)
Step-by-step explanation:
Perimeter = x + 2x + 2x = 5x
Since 5x <= 46.8cm, x <= 9.36cm.
The largest base is 9.36cm.
Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on the right side.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b
Comparing like terms with - 6x² + 12x - 15
x - term → - 3a = 12 ( divide both sides by - 3 )
a = - 4
constant term → - 3b = - 15 ( divide both sides by - 3 )
b = 5
Answer:
Step-by-step explanation:
total cost = c
students = s
cost = 7
c = s*7
independent is s
dependent is c
Answer: 4√2
square root of a number is the factor that we can multiply by itself to get that number.
The square root symbol is also called as a RADICAL.
Perfect squares are the squares of the integers also called as square numbers.
to find the square root of non-perfect squared numbers we have to check the number with a near-perfect squared numbers
how to find square root of non perfect squared numbers:
If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.
Factor tree of 32 = 2*2*2*2*2
= (2*2) * (2*2) *2
= (4)2 *2
Therefore √/32 = √/2*2*2*2*2
= √/(4)2*2
= 4√/2
learn more about square roots here:
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