The easiest way to think of these is to put them in terms of percentages. Obviously, if you are SAVING 25%, you are SPENDING 75%. So if she SPENDS 13.50, we can easily use the 75% in an equation. $13.50 = .75x, with x being what the shoes cost originally. The .75 indicates that she is spending 75% of what the original cost is. You don't have any examples to pick from, but this is the best way to explain what one of the equations could be. You could also base it on money saved, but the equation is not quite as neat.
The equation below does not have one solution, or no solutions, but instead it has an infinite number of solutions
<h3>How to determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions?</h3>
The equation is given as:
x + 2 = 2 + x
Collect the like terms
x - x =2 - 2
Evaluate the like terms
0 = 0
An equation that has a solution of 0 = 0 has an infinite number of solutions
Possible values of x are x = 8 and x = -8
Hence, the equation below does not have one solution, or no solutions, but instead it has an infinite number of solutions
Read more about number of solutions at
brainly.com/question/24644930
#SPJ1
Answer:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
Step-by-step explanation:
y" + y' + y = 1
This is a second order nonhomogenous differential equation with constant coefficients.
First, find the roots of the complementary solution.
y" + y' + y = 0
r² + r + 1 = 0
r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)
r = [ -1 ± √(1 − 4) ] / 2
r = -1/2 ± i√3/2
These roots are complex, so the complementary solution is:
y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)
Next, assume the particular solution has the form of the right hand side of the differential equation. In this case, a constant.
y = c
Plug this into the differential equation and use undetermined coefficients to solve:
y" + y' + y = 1
0 + 0 + c = 1
c = 1
So the total solution is:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
To solve for c₁ and c₂, you need to be given initial conditions.
Answer:
Step-by-step explanation:
Let the smaller number be 
. Since they are consecutive even numbers, the larger number can be represented by 
.
Therefore, we have the following equation:
Thus, the larger number is 
Answer:
The cost of each pair of sneakers is $33.25.
Step-by-step explanation:
Consider the provided information.
Meryl spends a total $68.82 for 2 pairs of sneakers with the same cost.
If the sales tax is $5.32 and she also uses a coupon for $3.00 off her purchase.
First subtract the sales tax from the spend amount.
She use a coupon for $3.00 OFF.
$66.5 was the cost of 2 pairs of sneakers before using the coupon.
Now divide $66.5 by 2 so that we can find the cost of one pair of sneakers.
Hence, the cost of each pair of sneakers is $33.25.
