Total cats: 8
Total expense: y
Expense per lion: $8,000
Total lions: z
Expense per leopard: $6,000
Total leopards: 8 - z
Therefore, the equation becomes:
total expense = number of lions × expense per lion + number of leopards ×expense per leopard
y = 8000z + 6000(8 - z)
y = 2000z + 48000
Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
Answer:
Let's say you have the factored quadratic (x-5)^2=0. The root is just 5, because when you set x-5 to zero and solve for x you have 5. In the same way, we can factor the equation as (x-1/2)(x+1/3), because if you set x-1/2=0 the solution is 1/2. The x+1/3 can also be set to zero and you get -1/3 . Therefore the quadratic has to be (x-1/2)(x+1/3).Foiling this out you get x^2-1/6x-1/6. Note we have to set this equal to zero like the first equation, so the answer is x^2-1/6x-1/6=0
First answer is correct.
second one in minus 2 and third one 2 is divided by 702-19
This question is ultimately asking you to factor 3x² - 9x - 30, which you can do by finding factors of 30 that, when one is multiplied by 3 due to the 3x², makes -9. These factors are 5 and 6, with 5 being multiplied by 3 so you get 15 and 6. Because you have -9, the 5 must be negative, which means the 6 is positive, so you get your final answer as:
(3x + 6)(x - 5)
I hope this helps!