Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.
<h3>What is a Quadratic Equation?</h3>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,
As we can see that the value of constants are,
a = 6
b = -31
c = 30
Therefore, the factors of the trinomial are (6x+5) and (x-6).
If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.
Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.
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