(x + 1/x)² = 3 | √
<u>x + 1/x</u> = √3
According to short multiplication formula:
(a + b)³ =a³ + 3a²b + 3ab² + b³
x³ + 1/x³ = (x)³ + (1/x)³ = (x + 1/x)³ - 3x²/x - 3x/x² =
= (x + 1/x)³ - 3x - 3/x = (<u>x + 1/x</u>)³ - 3(<u>x + 1/x</u>) =
= (√3)³ - 3√3 = 3√3 - 3√3 = 0
If (x + 1/x)² = 3 the value of x³ + 1/x³ is 0.
Answer: The answer is one-tenth part.
Step-by-step explanation: Given that Greg is pouring an entire gallon of milk into 10 glasses. We are to find the part of the gallon in each glass.
We will be using unitary method here as follows.
In 10 glasses, the quantity of the milk contained is = 1 gallon.
Therefore, in 1 glass, the quantity of the milk contained is given by
Thus, one-tenth part of a gallon will be in each glass.
Answer:
51
Step-by-step explanation:
2*5=10
3*10=30
11*1=11
10+30+11
51
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
(1) is C because hydro is water
(2) is C because the mantle is made of mostly Nickel and some other metal I don’t remember
(3) is C because geo is rock
