Answer:
3/x + 2/(x+1) = 3/5x
[3 · 5(x + 1) + 2 · 5x] / 5x(x + 1) = 3(x + 1) / 5x(x + 1)
3 · 5(x + 1) + 2 · 5x = 3(x + 1)
15x + 15 + 10x = 3x + 3
15x + 10x - 3x = -15 + 3
22x = -12
x = -12/22 = -6/11
Answer: -2/7
This value is a fraction.
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Work Shown:
The first two rows in the table produce these two points (x1,y1) = (-14,8) and (x2,y2) = (-7,6)
So, x1=-14, y1=8, x2=-7, and y2=6
Plug these four values into the slope formula and simplify
m = (y2 - y1)/(x2 - x1)
m = (6 - 8)/(-7 - (-14))
m = (6 - 8)/(-7 + 14)
m = -2/7
The answer is expressions D, E, and G.
In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.
Options A and B only have 1 term, an x or y³, so these are incorrect.
Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.
D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.
G has 3 unique terms, x³, x^4, and 7x, so this is correct.
When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.
I hope this helps!
Answer:
The investor receives $200
Step-by-step explanation:
In order to find this, simply multiply the percentage by the total amount.
$5,000 * 4%
$5,000 * .04
$200
Answer:
23x = -115
Step-by-step explanation:
In the substitution method, you must solve for 1 variable in 1 equation to replace it in the other equation. For the system:
2x - 7y = 4
3x + y = -17
Solving for y in the second equation:
y = -17 - 3x
Replacing y in the first equation:
2x - 7(-17 - 3x) = 4
2x + 119 + 21x = 4
23x = -115
This is the new equation after use the substitution method.