Answer:
Maximum is 4
Step-by-step explanation:
M(x) is quadratic function, so we need to fin maximum.
m(x)=-x(x-4)
m(x)=-x^2+4x
To find a maximum we need to find m’
M’(x)=-2x+4
M’(x)=0 if x=2
The maximum is in the point x=2
M(2)=-2(2-4)=4
Answer:
Step-by-step explanation:
x² + 9x + 18 = x² + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 3)(x + 6)
x² + 16x + 63 = x² + 9x + 7x + 63
= x(x + 9) + 7( x+ 9)
= (x + 7)(x + 9)
y² + 13y + 36 = y²+ 9y + 4y + 36
= y(y + 9) + 4(y + 9)
= (y + 4)(y + 9)
(a). Factored form of the expression (y² + 13y + 36) is (y + 4)(y + 9).
Therefore, Lyndsey's answer is wrong.
(b). Factors are (y + 4) and (y + 9).
(c). Factored form of the expression should be (y + 4)(y + 9) instead of Lindsey's answer (y + 6)(y + 6).
Answer:
<h2>41.57 cm²</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
- area of a regular hexagon when apothem is given:½×P×A
<h3>let's solve:</h3>
parimeter of a regular hexagon:6a
therefore
=½×[4×6]×2√3 cm²
simplify parentheses:
=½×24×2√3 cm²
simplify fraction:
=24×√3 cm²
=41.57cm²
Answer:
Probability of getting at least 1 tail in 3 coin toss is 1−18=78
Answer:
and x=9
Step-by-step explanation:
We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.
To solve for x use Pythagorean Theorem.
a^2 + b^2 = c^2.
