Let x = ribeye steak cost, y = grilled salmon cost. With this we set up two equations:
17x + 16y = 571.16
21x + 8y = 583.22
We must now pick which dinner we could like to find the cost of first. I choose the ribeyes. To do so, I'm going to divide the first equation by - 2. I will explain why:
- 8.5x - 8y = - 285.58
21x + 8y = 571.16
Now we combine like terms. Notice that the y-variables cancel each other out. This why I divided by - 2. It causes this cancellation leaving us with only one variable to solve. This gives us:
12.5x = 297.64
Divide both sides by 12.5 to isolate variable x.
x = 23.8112 or x ≈ 23.81. I round two decimal points since we're dealing with money.
Now, we plug this cost into either of the two equations and solve for variable y. I'll use the first one.
17(23.81) + 16y = 571.16
404.77 + 16y = 571.16
Subtract 404.77 from both sides to isolate the variable and its coefficient.
16y = 166.37
Divide by 16 on both sides to get rid of the coefficient
y ≈ 10.3993 or y ≈ 10.40 since we're dealing with money.
Cost of ribeye steak -- $23.81
Cost of grilled salmon -- $10.40
Answer:
Completing the square:
Factored form:
Step-by-step explanation:
1.
Completing the square is a method used to rewrite a quadratic equation in vertex form. First one groups the linear and the quadratic terms. Then one will factor out the coefficient of the quadratic term. After doing so, one makes the grouped equation a perfect square trinomial by introducing a term, don't forget to balance the equation. Finally one simplifies the equation. The result is a quadratic equation in vertex form.
The quadratic equation:
Group the linear and quadratic terms:
The quadratic term doesn't have a coefficient, so one doesn't need to factor the group. Now, one has to add a term to make the group a perfect square trinomial. Remember to balance the equation:
Simplify,
2.
Factoring a quadratic equation is a method of rewriting a quadratic equation as the product of two linear equations. One splits the constant term up into factors, such that the sum of the factors is equal to the coefficient of the linear term.
Factor:
Answer:
90 days.
Step-by-step explanation:
dy/dt = - 0.0032y
dy = -0.0032y dt
dy/y = -0.0032 dt
Integrating:
ln y = -0.0032t + c where c is some constant
y = e^(-0032t) + e^c
y = A e^(-0032t) where A is a constant.
At time 0 we can let y = 1 so in that case A = 1
When there is 0.75 of y left:
0.75 = e^-0032t
ln 0,75 = -0032 t
t = ln 0.75 / -0032
t = 90.
140/15.5 = unit rate
140/15.5 = around 9.03
Average swimming rate: 9.03 meters per second
Answer:
c. 1 3/20
Step-by-step explanation:
a guess hopefully you are right