Answer:
The correct option is d


The correct option is d
The correct option is c
the correct option is b
Step-by-step explanation:
The given equation is

The give interval is 
Now differentiating the equation

Therefore the equation is positive at the given interval
Now at x= 1

Now at x= 2

Now at the interval (1,2)

i.e

this tell us that there is a value z within 1,2 and
f(z) = 0
Which implies that there is a root within (1,2) according to the intermediate value theorem
Answer:
A
Step-by-step explanation:
took test
Answer:
AC = 78
Step-by-step explanation:
Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)
We are given then one side is 11x-32 and another side is 5x+28
These two sides must be equal so we can set them equal to each other and solve for x
11x - 32 = 5x + 28
6x - 32 = 28
6x = 60
x = 10
If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)
11(10)-32 = 110 - 32 = 78
AB = BC = AC = 78
AC = 78
The fraction

To find this we need to realize that .66 can be converted to a fraction. The last 6 is in the hundredths place, so if we convert .66 to a fraction we will get:

If we simplify this fraction as much as we can, we will get to

To check this we can divide

. So, 2 ÷ 3 = .66, which is correct, so our answer is correct.
I hope this helped! Have an amazing day :)