A direct variation has a constant slope, i.e. (y/x)= constant.
Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x
Split the second term in 3a^2 - 8a + 4 into two terms
3a^2 - 2a - 6a + 4 = 0
Factor out common terms in the first two terms, then in the last two terms.
a(3a - 2) -2(3a - 2) = 0
Factor out the common term 3a - 2
(3a - 2)(a - 2) = 0
Solve for a;
a = 2/3,2
<u>Answer : B. (2/3,2)</u>
Answer:
x = 31/9 and y = 5/3
Step-by-step explanation:
It is given that,
3x - 2y = 7 -----(1)
3x + 4y = 17 ----(2)
<u>To find the solution by elimination method</u>
Step 1: Subtract eq(2) from eq(1)
3x - 2y = 7 -----(1)
<u> 3x + 4y = 17 </u>----(2)
0 - 6y = -10
6y = 10
y = 10/6 = 5/3
Step 2: Substitute the value of y in eq (1)
3x - 2y = 7 -----(1)
3x - 2*(5/3) = 7
3x = 7 + 10/3
3x = 31/3
x = 31/9
Therefore x = 31/9 and y = 5/3
A ton is 2,000 pounds so multiply 2,000 x 18
2,000 x 18 = 36,000 pounds, now add the 42 pounds to the 36,000
36,000 + 42 = 36,042 pounds. Now divide 36,042 by 3
36,042 ÷ 3 = 12,014
Your answer is 12,014 pounds
If you need your answer in tons it's 6.007 tons
Calculations for pounds to tons
12,014 ÷ 2,000 = 6.007
Hope this helps. :)
Answer:
1/2
Step-by-step explanation:
4/9 is equal to 4.444 repeating so that would be closest to 1/2
