Step-by-step explanation:
If two lines have the same slope and the same y-intercept, there are infinite solutions.
If two lines have the same slope and different y-intercepts, there are zero solutions.
Otherwise, if the two lines have different slopes, then there is one solution.
The slope of the first line is 3/8. The slope of the second line is 16/32 = 1/2. The slopes are different, so there is only one solution.
The solutions for all 15!!
1.x^2+ x - 6
2.x^2 - 8x - 48
3.x^2 + 7x + 12
4.x^2 + 13x + 42
5.x^2 + 17x + 72
6.x^2 - 25
7.x^2 - 9
8.x^2 + 20x + 100
9.x^2 + 10x - 24
10.x^2 + x - 12
11.x^2 + 7x + 10
12.x^2 - 7x + 12
13.x^2 - 49
14.x^2 - 3x - 18
15.x^2 + 5x - 50
There hope it helps!
Answer:
21/240, 22/140, 23/140, 24/140
Step-by-step explanation:
7 and 5 have a common multiple of 140 and
140/7=20 20/140
140/5=28 28/140
21-27 are all numbers b/w 20 and 28
9514 1404 393
Answer:
- white chocolate chip: $17
- gingerbread: $19
Step-by-step explanation:
We can let x and y represent the costs of packages of white chocolate chip and gingerbread cookie dough, respectively. Then the two sales can be represented by ...
11x +2y = 225
8x +10y = 326
__
There are several ways a system of equations like this can be solved. One of my favorites is to use a graphing calculator (see attached).
We can also use substitution. We see that the coefficients of y are simply related, so we can use ...
2y = 225 -11x . . . . from equation 1
8x +5(2y) = 326 . . . rearrange equation 2
8x +5(225 -11x) = 326 . . . . substitute for 2y
-47x +1125 = 326 . . . . simplify
799 = 47x . . . . . . . add 47x-326
17 = x . . . . . . . . . . . divide by 47
2y = 225 -11(17) = 38
y = 19 . . . . . . divide by 2
The package costs are ...
white chocolate chip dough: $17
gingerbread dough: $19.
I think that if you use 2 and 3 I think you have to mutually understand the difference between 3 and 2