X<3 or X>1
move constant to the right side and change the sign
Answer : 167
Step-by-step explanation: had this one
Answer:
a) Water height, H(g) = 8g^2 + 3g -4 - [9g^2 -2g -5] = 8g^2 + 3g -4 -9g^2 + 2g +5 = -g^2 +5g +1
b) g = 1
H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5
g=2
H(g) = -(2)^2 + 5(2) + 1 = -4 + 10 + 1 = 7
g=3
H(g) = -(3)^2 + 5(3) + 1 = -9 +15 +1 = 5
c) Greatest height
Find the vertex of the parabole
The vertex is at the mid point between the two roots.
To find the roots you can use the quadratic equation
The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2
The middle poin is 5/2 = 2.5
Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3
hope this helps
Answer:
-3
Step-by-step explanation:
Answer: -17/28
Step-by-step explanation:
This is very easy.
We read f(x) as "a function of x"
Think of it as a machine. It takes in x, and gives us f(x) after doing some things to it.
f(x) = (x) × 4/7 + 9/4 ,
f(-5) = (-5) × 4/7 + 9/4
Let's work this out now!
= (-5) × 4/7 + 9/4
= -20/7 + 9/4
Now make into 1 fraction with common denominator
= -80/28 + 63/28
= -17/28
