18. Solve for x by factoring diamond method
10x^2 - 29x - 21 = 0 becomes
(2x - 7)(5x + 3) = 0
x = 7/2, -3/5
A
19. To model this we will do
(x + 9)(x + 9) = 169
distribute
x^2 + 18x - 88 = 0
factor
(x - 4)(x + 22) = 0
The length is 4m
D
20. This can be modeled by
(l)(l +5) = 234
distribute
l^2 + 5l -234 = 0
factor
(l-13)(l+18) = 0
The length is 13
The width is 18
B
21. To find this you divide the x term by 2 and square it so
10/2 = 5
5^2
25
B
22. To find this you divide the x term by 2 and square it so
9/2 = 4.5
4.5^2
81/4
C
Answer is 632
(correct me if wrong)
Find a common denominator between the two (this case it would be 18) and bring the fractions up, so 10/9 would be 20/18, and 3/2 would be 27/18. Then, multiply across, and simplify to lowest terms.
0 is 500mg and the numbers above are larger.
The answer would be 42
42*3 = 126
126+5 = 131
3(n)+5=131
3(n)+5 -5= 131-5
3(n)=126
3(n)/3= 126/3
n= 42
