Answer:
see below
Step-by-step explanation:
(x + 1.5)² - 2.25 - 28 = 0
(x + 1.5)² - 30.25 = 0
(x + 1.5)² = 30.25
Answer:
9 students on the committee are males
Step-by-step explanation:
As per the statement:
There are 15 students on a yearbook committee.
⇒Total students on a yearbook committee = 15
⇒
....[1]
It is given that:
40% of the students are females
⇒
Substitute in [1] we have;
Subtract 6 from both sides we have;
Therefore, 9 students on the committee are males
<h2>
Answer:The graph of
is the graph of
compressed vertically.</h2>
Step-by-step explanation:
Given that 
and 
is always positive because 
is always positive.
is always positive because 
is always positive.
So,both are always positive.
So,there is no flipping over x-axis.
In ,the height of a point at 
is 
In ,the height of a point at is 
So,height of any point has less height in than
So,the graph of is the graph of compressed vertically.
Answer:
a. p1(x) = 2 - x
b. p2(x) = x² - 3*x + 3
c. p1(0.97) = 1.03; p2(0.97) = 1.0309
Step-by-step explanation:
f(x) = 1/x
f'(x) = -1/x²
f''(x) = 2/x³
a = 1
a. The linear approximating polynomial is:
p1(x) = f(a) + f'(a)*(x - a)
p1(x) = 1/1 + -1/1² * (x - 1)
p1(x) = 1 - x + 1
p1(x) = 2 - x
b. The quadratic approximating polynomial is:
p2(x) = p1(x) + 1/2 * f''(a)*(x - a)²
p2(x) = 2 - x + 1/2 * 2/1³ * (x - 1)²
p2(x) = 2 - x + (x - 1)²
p2(x) = 2 - x + x² - 2*x + 1
p2(x) = x² - 3*x + 3
c. approximate 1/0.97 using p1(x)
p1(0.97) = 2 - 0.97 = 1.03
approximate 1/0.97 using p2(x)
p2(0.97) = 0.97² - 3*0.97 + 3 = 1.0309
Width of smaller tv=x. in feet
length of smaller tv =x+1
l of larger= x+1.5
w of larger = x +0.5
area = l x w
area = (x+1.5)(x+ 0.5)
area= x^2 +2x + 0.75
