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:
Step-by-step explanation:
A = 8 cm
B = 5 cm
C = 22 - 8 - 5 = 9 cm
Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.
8^2 + 5^2 = 9^2
64 + 25 = 81
89 = 81
89 does not equal 81, so this is not a right triangle.
Answer:
1:4:3.
Step-by-step explanation:
hope this helps
I'm assuming this is 0.1666666...
Which in that case is 1/6.
(Just from memory)
To do 0.161616161616...
First, assign 0.161616... a variable, say it's x.
Now say 100x, what is it.
16.1616161616...
Now subtract x from 100x.
16.161616161616... - 0.16161616...
Or, 99x
99x = 16 in this case right now
Divide both sides by 99
x = 16/99
So it really depends what's repeating, it's either 1/6 or 16/99.
30 + 8 = 38 desks
38 x 4 = 152 legs
If you did not add those eight desks then you will have 120 legs.
So, the amount of legs will go up by 32 if you add 8 more desks.