Step-by-step explanation:
The given inequality is :

Solving RHS of the inequality:

Adding 6 both sides of the inequality

The attached figure shows the graph for the given inequality.
Answer:
-1/4x² + 3
Step-by-step explanation:
Given that:
Path of sprinkler is modeled by the quadratic function :
w(x) = -1/4(x^2 -12 )
w(x) = height of the water, in meters, at position x
The height of ceiling as a constant or Coefficient = w(x)
Expanding w(x)
-1/4(x^2 -12 )
-1/4 * x² + 1/4 * 12
-1/4x² + 3
The height of ceiling is -1/4x² + 3
Answer: -10, 10
Step-by-step explanation:
first lets add the two equations. add the x's, add the y's, add the constants on the right.
we get
0x - 1y = -10
so then divide --10 by -1 because we do the opposite operations to both sides
and we get y = 10
now substitute y = 10 into the first equation
-10x - 9(10) = 10
and then we get -10x - 90 = 10
now add 90 to both sides
-10x = 100
divide 100 by -10
x = -10
y = 10
checks out
EPIC. STAY EPIC AND AWESOME FRIEND.
To make a fraction into simplest form you have to find the greatest common factor. In this case it is 5. So then you divide both the numerator and the denominator by the greatest common factor of 5.
15÷5=3
100÷5=20
There is no factors that go into both 3 and 20 so simplest form is 3/20.
Answer:
8 carnations and 12 zinnias
Step-by-step explanation: