The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If 
If 
So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change 
Substituting the values, we get
The percentage rate of change 
.
As the values of y decrease with an increase in x, it is the percent decrease per unit.
Answer:
a. 15/2 or 7.5 sqcm
b. 20 sqcm
Step-by-step explanation:
Area of a triangle is (base × height)/2.
A = (5×3)/2
A = 15/2 = 7.5cm^2
The area of a parallelogram is just base × height, but yoy have to choose wisely what is the base and height. These two measurements must be perpendicular. So the 4 and 5 are perpendicular. We won't use the measurement 6cm at all.
Area = 4×5
Area = 20 sqcm
Answer:
x2-5x-8=0
Step-by-step explanation:
Two solutions were found :
x =(5-√57)/2=-1.275
x =(5+√57)/2= 6.275
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-5x-8
The first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -5 .
-8 + 1 = -7
-4+ 2 = -2
-2+ 4 = 2
-1 + 8 = 7
5 - 6 = -1
2 + 7 = 9
-1 × 9 = -9
-9 would be the simplified answer.
Hope this helps!
Answer:
I think the answer is P(x>178)
Step-by-step explanation:
