-1 > -2(x-4) - 5(4x - 7)
-1 > -2x + 8 - 20x + 35
-1 > -22x + 43
-1 - 43 > - 22x
-44 > - 22x
-44/-22 < x
2 < x....or x > 2
Answer:
f(x)=-3x+14
Step-by-step explanation:
we have
y+1=-3(x-5)
Isolate the variable y
Distributed right side
y+1=-3x+15
Subtract 1 both sides
y=-3x+15-1
Combine like terms
y=-3x+14
Convert to function notation
Let
f(x)=y
f(x)=-3x+14
The first statement "<span>y varies directly as x" means that as y increases, x also increases. To help us we need to assign a proportionality constant, k. We can now say:</span>
y=kx where k is just a constant. Then substitute the values,
180=kn
n=5k
With these equation we know that k is equal to (positive or negative) 6 and therefore we can get n to be (positive or negative) 30.
X^2-6x-27 = (x-9)(x+3), therefore (a) is the correct answer
Answer: x=5√3(you've got it correct!)
y=15
In∆ADC,
Cos 60°=DC/10
DC=5
y=20-5
y=15