Answer:
y = 18·8^x
Step-by-step explanation:
We assume you want a model that looks like y = ab^x.
To find the values of "a" and "b", you can fill in the given numbers and solve the system of equations:
18 = a·b^0
9216 = a·b^3
The first equation tells you ...
18 = a
Dividing the second equation by the first gives ...
9216/18 = (a·b^3)/(a·b^0) = b^3
512^(1/3) = b = 8
The exponential function is ...
y = 18·8^x
Answer:
The answers to your questions are:
a) x = 14
b) x = 25
Step-by-step explanation:
a) (7x -1) + (6x -1) = 180
7x -1 + 6x -1 = 180
7x + 6x = 180 + 1 +1
13x = 182
x = 182/13
x = 14
b) 5x +4 = 8x - 71
8x - 71 = 5x + 4
8x - 5x = 71 + 4
3 x = 75
x = 75 / 3
x = 25
For this question, you would want to set up a system of equations.
Let x = Dog Food
Let y = Cat Food
5x+2y=20
x+4y=13
The next step is to eliminate a variable or do substitution. I personally find elimination easier. To eliminate the y, multiply the top equation by -2.
-10x-4y=-40
x+4y=13
The y's will cancel and you are left with:
-9x=-27
Divide by -9 on both sides and you get x=3. Now you want to take 3 and substitute it back into one of the original equations.
3+4y=13
Solve for y
4y=10
y=2.5
Plug both values into the top equation to check the values.
5(3)+2(2.5)=20
15+5=20
20=20
The answers are correct. Dog food is 3 dollars or euros and cat food is 2.50 euros.
Please mark brainiest and good luck :D