Answer:
Sleep well
Step-by-step explanation:
I can tell you about the 'ac' method of factoring trinomials by way of an example:-
Factor 3x^2 - 4x - 15
first multiply the first number by the last That is 3 * -15 = -45
Now we need to find 2 factors of -45 which will when added give - 4 ( the coefficient of x)
-9 and = 5 look like the ones so we write
3x^2 - 9x + 5x - 15
Now factor this by grouping:-
= 3x(x - 3) + 5(x - 3)
x - 3 is common to the 2 parts so we have:-
(3x + 5)(x - 3) <-------- These are your factors
Any trinomial can be factored in this way.
Answer:
D. Subtraction property of equality
B. 6.5
Step-by-step explanation:
First blank:
The equation is x + 6.5 = 13.
To solve the equation, you want x alone on the left side, showing "x = some number." Since 6.5 is being added to x, you need to SUBTRACT 6.5. You must do the same operation to both sides of an equation, so you need to SUBTRACT 6.5 from both sides of the equation. What allows you to subtract the same number from both sides of an equation is the
<em>D. Subtraction property of equality </em>
Second blank:
Subtract 6.5 from both sides.
x + 6.5 = 13
x + 6.5 - 6.5 = 13 - 6.5
x = 6.5
<em>Answer: B. 6.5</em>
Answer:
X=8
Step-by-step explanation:
24×10=30X
240=30X
Divide by 30
X=8
Answer:
- -28y^4 - 7y^3 + 62y^2 + 5y - 30
Step-by-step explanation:
<u>Opening the parenthesis and simplifying by combining like terms:</u>
- (6 - y - 4y^2)(-5 + 7y^2) =
- 6(-5) +6(7y^2) - y(-5) -y(7y^2) -4y^2(-5) -4y^2(7y^2) =
- -30 + 42y^2 + 5y - 7y^3 +20y^2 -28y^4 =
- -28y^4 - 7y^3 + 62y^2 + 5y - 30
