Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
Answer:
0.5
Explaintion: because it is half of the 50%
1/4 of x is 6 ⇒ 1/4 x = 6
1/4 x = 6
<u>Multiply 4 on both sides:</u>
x = 24
Answer : x = 24
Answer:
The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4
Step-by-step explanation:
let l be the length and w be the width of the rectangle respectively;
Diagonal(D) of a rectangle is given by:
......[1]
As per the given statement we have;
Diagonal(D) = width + 2
and
= 2w
Now, substitute these in [1] we have;
Squaring both the sides we get;
or
or
Simplify:
......[2]
The quadratic equation is in the form of 
the solution is given by: 
On comparing with [1] we get
a= 1 , b = -1 and c = -1
Then the solution is:
Simplify:
and 
Then, the diagonal D = w+2
For
For
therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4
Area of the squares (6):
A 1 = 6 · 10² = 600 in²
Area of the equilateral triangles (6):
A 2 = 6 · 10²√3 / 4 = = 6 · 25 · 1.73 = 259.8 in²
Area of the hexagon:
A 3 = 6 · 10²√3/4 = 259.8 in²
Total area:
600 + 259.8 + 259.8 = 1,119.6 in²
Answer: C )
