Please, use ( ) around fractional coefficients:
<span>1/3x-9y, 6/5x-15y should (probably) be written as (1/3) - 9y and (6/5)x - 15 y.
The LCD here is 3(5) = 15.
Mult. </span><span>1/3x-9y and 6/5x-15y by 15, and then divide the result by 15:
</span>15 [ (1/3)x - 9y and (6/5)x - 15 y ]
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15
This simplifies to:
5x - 135y and 18x - 225y
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15 15
These fractions are equivalent to the original ones, but now the common denominator, 15, is evident.
Answer:
y = -1
Step-by-step explanation:
The standard form of equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19
Make y the subject of the formula in both expressions
For 2x - y = 9
- y = 9- 2x
y = 2x - 9
Similarly for 3x - 7y = 19
-7y = 19 - 3x
7y = 3x - 19
y = 3/7 x - 19/7
Equating both expressions
2x - 9 = 3/7 x - 19/7
Multiply through ny 7
14x - 63 = 3x - 19
14x - 3x = -19 + 63
11x = 44
x = 44/11
x = 4
Since y =2x - 9
y = 2(4) - 9
y = 8-9
y = -1
Hence the coordinate of intersection is at (4, -1)
Get the equation of the line passing through (-3, -1) and (4, -1)
Slope m = -1+1/4+3
m = 0/7
m = 0
Get the intercept
Substitute m = 0 and (-3, -1) into y = mx+b
-1 = 0(-3) + b
-1 = b
b = -1
Get the required equation
Recall that y = mx + b
y = 0x + (-1)
y = -1
Hence the required equation is y = -1
Answer:
36
Step-by-step explanation:
24^2 = (12)(12+x)
576 = 144 + 12x
432 = 12x
36 = x
Answer:
Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving
Step-by-step explanation:
Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.
Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear
- Dependent Variable is the 'Tire tread wear '.
- Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc
Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.
In this case : Individuals driving the vehicles could be a confounding variable. A particular person could wear out tire more than another person.
For this case we have the following equation:
From here, we must clear the value of y.
For this, we follow the following steps:
1) Distributive property:
2) Variable terms on one side of the equation and constant terms on the other side of the equation:
3) Algebraically add the constant terms:
4) Pass the number 20 to divide:
Answer:
The value of y is given by:
