You can find the slope by making the equation into slope-intercept form, in other words, solving it for y.
6x - 3y = 12 Subtract 6x from both sides
-3y = -6x + 12 Divide both sides by -3
y = 2x - 4
Slope Intercept form is y = mx + b, where m represents slope. M in your equation is 2, so the slope of the line is 2.
To add expressions, you should take note that you can only
combine same terms which means they have the same degree of exponents.
-5x^4 + 6x^3 – 43 + 6x^5 – x^2 + 12x + 12
In this expression, you can only combine the constants
because they are the only similar terms:
-5x^4 + 6x^3 + 6x^5 – x^2 + 12x + 12 – 43
-5x^4 + 6x^3 + 6x^5 – x^2 + 12x – 31
The standard form starts with the term with the highest
exponent so you just have to arrange the terms:
6x^5 - 5x^4 + 6x^3 – x^2 + 12x + 12
Answer: There u go ig
Step-by-step explanation:
Answer:
(42,28)
Step-by-step explanation:
set up the problem by converting percentages to decimal
x+y=70
.30x+.80y=50(x+y)
solve for x, so minus y in order to get it x alone. equation should look like this: x=70-y
30(70-y)+80y=50(70-y+y)
solve the equation for y
y=28
plug the value of y into the equation x=70-y
x=70-28
solve for x
x=42
check the solution of (42,28)
42+28=70
30*42+80*28=50(42+28)
simplify the equations
70=70
3500=3500
the ordered pair is a solution
so James needs 42 liters of 30% antifreeze and 28 liters of 80% antifreeze.
(42,28)
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