Answer: x = 5, x = -7/2
<u>Step-by-step explanation:</u>
2x² - 3x - 35 = 0
<u>Step 1:</u> Find two values whose product = 2(-35) and sum = -3: -10 & 7
<u>Step 2: </u>Replace the b-value of -3x with -10x + 7x:
2x² - 10x + 7x - 35 = 0
<u>Step 3:</u> Factor the first two terms and the second two terms:
2x(x - 5) +7(x - 5) = 0
<u>Step 4</u>: Write the factored form:
Notice that the parenthesis are identical. This is one of the factors. The outside values are the other factor:
Parenthesis: (x - 5)
Outside: (2x + 7)
Factored form: (x - 5)(2x + 7) = 0
<u>Step 5: </u>Set each factor each to zero and solve for x:
x - 5 = 0 2x + 7 = 0
x - 5 
Card A:
<span>$4,350 x 0.02 = $87
</span><span>$360 - $87 = $273
Card B:
Interest $270 no rebate
so $273 - $270 = $3
Card B cost least and $3 less than card A</span>
Answer: 38 in.^{2}
Step-by-step explanation:
1/ Find the area of the triangular sides. (1/2 x 2 x 6 = 
for each triangular side)
2/ Find the area of each of the rectangular sides. In this case, the bottom (base) side is 2x6 = 
. The rectangular side on the left is 2x3 = , and the rectangular side on the right is 4x2 = 
.
3/ Add everything together. Rectangular Sides + Triangular Sides = Surface Area ---> 
4/ You have your answer, now hope it helps ! :)
First, subtract 7 from both sides.
8a=24
Then, divide each side by 8.
a=3
Answer:
the ratios which are in simplest form
B. 27 : 28
C. 9 :7
D. 19 : 12
E. 10 : 7
Step-by-step explanation:
