Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
Answer:
972cm^3
Step-by-step explanation:
use the formula for a rectangular prism base x height x length but then divid by two because it is a triangular prism.
multiply 18 x 12 x 9 then divide by 2
This is a problem of
system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A
solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:
1. Alice has a total of 12 dimes and nickels.
Let the variables:

1st. Equation:

<span>
2. She has 2 more nickels than dimes
2nd Equation:

Therefore our system of linear equations is:
</span>
Conclusion:<span>Alice has
5 dimes and
7 nickels. </span>
9514 1404 393
Answer:
(x, y) = (7, -48)
Step-by-step explanation:
A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.
The slope is zero were f'(x) = 0.
f'(x) = 2x -14
0 = 2x -14
0 = x -7
7 = x
f(7) = 49 -98 +1 = -48
The critical point is (7, -48).
-|-x| = 7 is already wrong to begin with. The absolute value gives you the distance from zero so it is always positive. And the fact that if |-x| is always positive then -|-x| is always negative and you are equating it to a positive number.