Convert the quadratic equation y=−4(x−3)(2x+4) from factored form to standard form.
1 answer:
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Answer: 60 of the patients are boys.
Step-by-step explanation: According to what is described, 5 in 8 patients are girls, then: 8 - 5 = 3, i.e., 3 in 8 are boys.
Mathematically the proportionality is
If 160 patients have appointments per month and are boys:
160. = 60
Per month, 60 boys have appointments at the medical office.
Answer:
4.5 sq. units.
Step-by-step explanation:
The given curve is
⇒ ...... (1)
This curve passes through (0,0) point.
Now, the straight line is y = 3x - 6 ....... (2)
Now, solving (1) and (2) we get,
⇒ (y - 3)(y + 2) = 0
⇒ y = 3 or y = -2
We will consider y = 3.
Now, y = 3x - 6 has zero at x = 2.
Therefor, the required are =
=
=
= 6 - 1.5
= 4.5 sq. units. (Answer)