Answer:
x= -1 or x = -2
Step-by-step explanation:
Your equation:
(x−3)^3−(x−1)^3+7x^2=7(3x−4)
Step 1: Simplify both sides of the equation.
x^2+24x−26=21x−28
Step 2: Subtract 21x-28 from both sides.
x^2+24x−26−(21x−28)=21x−28−(21x−28)
x^2+3x+2=0
Step 3: Factor left side of equation.
(x+1)(x+2)=0
Step 4: Set factors equal to zero.
x+1=0 or x+2=0
which equals to x=−1 or x=−2
Answer: The answer is cosine of that acute angle.
Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.
In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.
Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.
Now, the ratio is given by
Thus, the ratio is cosine of the acute angle.
Answer:
x=3
Step-by-step explanation:
he paid = 4*10 = $40
48 eggs = $40
so, waste money would be 6/48 * 100 = 12.5%
Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2
