Answer:
Since you are to calculate the value of x, the first thing to do is to collect the like terms, i.e bring all the families of x together.
which implies : x -12x +7x = 7 + 4
-4x = 11
Divide both sides by -4
therefore : x =
Step-by-step explanation:
Answer:
<u>Part (a)</u>
It depends how your calculator calculates quadratic regressions.
For my calculator:
a = 1.177142857 = 1.18 (nearest hundredth)
b = 42.22257143 = 42.22 (nearest hundredth)
c = -12.87142857 = -12.87 (nearest hundredth)
⇒ y = 1.18 + 42.22x - 12.87x²
Therefore, the quadratic regression equation in standard form is:
<u>Part (b)</u>
To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:
As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s. Therefore, the height of the rocket at 5 s will be 0 ft.
(see attached graph → the rocket will hit the ground at approx 3.3 s)
The expression can be divided by one and itself only. Then the expression is a prime expression. The correct option is C.
<h3>What is a factorization?</h3>It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is
The expression can be written as
The expression can not be the real factor.
Since the expression can be divided by one and itself only.
Then the expression is a prime expression.
Thus, the correct option is C.
More about the factorization link is given below.
