Answer:
$100
Step-by-step explanation:
It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100
Answer:
<h2>24 students</h2>
Step-by-step explanation:
25% of a hundred is one-fourth and because there are six students in a fourth of the whole we are multiplying four and six. 6x 4 is 24.
Answer:
1. The graph represents a proportional relationship
2. 70,000 miles
Step-by-step explanation:
1. The graph represents a proportional relationship since the graph line is straight and begins at the origin.
2. Plot 5.5 hours on the graph and it'll give you 70,000 miles
Answer:
Step-by-step explanation:
A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.
The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.
Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.
Using the quadratic formula:
-4 ±√[-40] -4 ± 2i√10
x = ------------------ = ------------------
4 4
-2 ± i√10
Thus, the roots are x = ------------------
2
Answer:
Solution : (15, - 11)
Step-by-step explanation:
We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )
Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )
Row Echelon Form :
Step # 1 : Swap the first and second matrix rows,
Step # 2 : Cancel leading coefficient in row 2 through 
,
Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.
As you can see our solution is x = 15, y = - 11 or (15, - 11).
