Answer:
x<1 or x>5
Step-by-step explanation:
2x -3< -1 or -3x < -15
Solve them separately then put them back together
2x-3 < -1
Add 3 to each side
2x-3+3<-1+3
2x<2
Divide by 2
2x/2 <2/2
x<1
-3x < -15
Divide each side by -3, remembering to flip the inequality
-3x/3 > -15/-3
x>5
Put them back together
x<1 or x>5
Step-by-step explanation:
TanA = SinA/CosA
tanA = 2xy / (x² + y²),
Sin A = CosA * 2xy / (x² + y²)
f(x)=2,459(0.92)^t
Using the information given above, complete the following statements. The percent change is %. The percent change represents .
f(x)=2,459(0.92)^t
Given equation is an exponential function and in the form of f(x) = a(1-r)^x
Where 'a' is the initial population
'r' is the decay rate
'x' is the time
f(x) = a(1-r)^x
Given function is f(x)=2,459(0.92)^t
1 - r = 0.92
r = 1 - 0.92
r = 0.08
r= 0.08 %
Percentage change = 0.08%
Percentage change represents the decay rate.
Three consecutive numbers are x, x+1 and x+2.
Four times the first integer is 4x
The sum of the second and third is (x+1)+(x+2)=2x+3.
So, we have

Subtract 2x from both sides:

Divide both sides by 2:

So, you can't have three consecutive integers such that four times the first is 18 more than the sum of the other two: the three numbers would be 10.5, 11.5, 12.5.
In fact, you have

and
