Answer:
y = 33/5 or 6.6
Step-by-step explanation:
7y + 44 = 12y + 11
-11 -11
7y + 33 = 12y
-7y -7y
33 = 5y
Divide both sides by 5
= 33/5 or 6.6
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:
There is no answer
Step-by-step explanation:
82 can not equal $14.00, however if you mean 82x=14.00, the answer will be 0.17 (7/41), and if you mean 82=14x, the answer will be 5.86 (41/7)
Answer:
Common Ratio = 2.5
Step-by-step explanation:
Given
Points: (1, 1), (2, 2.5), (3, 6.25)
Required
Determine the common ratio
The points can be rewritten as:
x --- f(x)
1 ---- 1
2 --- 2.5
3 ---- 6.25
The data under the x column are the domain of the function and in this case, they are not needed;
To calculate common ration, Lena should use data in function f(x) column
Common ratio is calculated by dividing a term by the previous term;
Hence;
Common Ratio = 2.5/1 or 6.25/2.5
Common Ratio = 2.5 or 2.5
Notice that, the results are the same;
Hence, the usable common ratio is 2.5
Answer:
Step-by-step explanation:
For point (1,1)
8*1^2+8*1^2+a*1+b*1+c=0
8+8+a+b+c=0
a+b+c=-16
For point (1,3):
8*1^2+8*3^2+a*1+b*3+c=0
8+72+a+3b+c=0
a+3b+c=-80
For point (9,2):
8*9^2+8*2^2+a*9+b*2+c=0
648+32+9a+2b+c=0
9a+2b+c=-680
From system:
a+b+c=-16.....(1)
a+3b+c=-80....(2)
9a+2b+c=-680....(3)
From (2)-(1) we have:
2b=-64
b=-32.
Now we have
a+c=16
9a+c=-616
i.e,
8a=-600,
a=-75,
and at the end
c=16+75=91
