(x-3)(3x+7)=0
x-3=0 or 3x+7=0
1. x-3=0
x₁=3
2. 3x+7=0
3x=-7
x₂=-7/3 = -2(1/3)
Answer:
The exponential equation is;
y = 0.1•0.5^x
Step-by-step explanation:
Here, we want to get the exponential function represented by the table
Mathematically, the general form of an exponential function is;
y = a•b^x
By getting a and b, we have the exponential function
We can use any of the points;
Let us start with (0,0.1)
0.1 = a•b^0
anything raised to zero is 1
0.1 = a * 1
a = 0.1
Now, we have a
Let us work with the second point to get b
The point is (1,0.05)
0.05 = 0.1•b^1
0.05 = 0.1b
b = 0.05/0.1
b = 0.5
Thus, we have the equation as;
y = 0.1•0.5^x
Answer:
150
Step-by-step explanation:
1) the full volume of the given pyramide may be calculated according to the formula:
V=1/3 *Area_of_base*height;
V=1/3 *(5*15)*12=300 (in³).
2) the half of the calculated volume is:
300/2=150 (in³)
Answer:
The original price was reduced 35%
Step-by-step explanation:
we know that
Jeans are reduced from $28.00 to $18.20
In this problem
The original price of 28.00 represent 100%
so
using proportion
Find out what percentage represent the difference between the original price and the new price
therefore
The original price was reduced 35%
X/4 + x/5 = 1
5x/20 + 4x/20=1
9x/20 =1
9x = 20
x = 2.22 hours
