Answer:
A B and D
Step-by-step explanation:
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.
All you need to know is that:
- In the first quadrant, both coordinates are positive
- In the second quadrant, x is negative and y is positive
- In the third quadrant, both coordinates are negative
- In the fourth quadrant, x is positive and y is negative
- The sine is the y coordinate of the points on the unit circle
- The cosine is the x coordinate of the points on the unit circle
- The cotangent function is defined as the ration between the cosine and the sine of an angle.
So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that

The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.
Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.
So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.
Answer:
b)
Step-by-step explanation:
a) 4+12>8
12+8>4
4+8=12
NO
b) 5+12>10
10+5>12
12+10>5
YES
c) 16+4>6
6+4<16
NO
d) 30+12>6
12+6<30
NO
Step-by-step explanation:
the third of 7 consecutive numbers is 12.
so, this looks like
..., ..., 12, ..., ..., ..., ...
that means the numbers have to be
10, 11, 12, 13, 14, 15, 16
the sum is then
16+10 + 15+11 + 14+12 + 13 = 3×26 + 13 = 91