Answer:
- B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Step-by-step explanation:
<u>Graph of the function:</u>
The domain is x ≥ 0, the range y ≤ 1
Correct answer choice is B
- On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
<em>The graph is attached</em>
Answer:
→[ Certain shade=red paint+ white paint]
→3 cups of red paint=7 cups of white paint
Dividing both side by 7,we get
→ 1 cup of white paint=3/7 cups of white paint
So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.
Cups of white paint: Cups of red paint= 1. : 
k=
is constant of proportionality.
Answer:
Step-by-step explanation:
Sarah is falling for Pitfalls 5 and 6.
A statistical association does not mean causation. there must be proof to support the cause and effect and even if there were proof to support the cause and effect, extending the result about groups to an individual is not proper
If there are real roots to be found for this polynomial, the Rational Root Theorem and synthetic division are the best way to find them. I teach from a book that uses c and d for the possible roots of the polynomial. C is our constant, 2, and d is the leading coefficient, 1. The factors of 2 are +/- 1 and +/-2. The factors for 1 are +/-1 only. Meaning, in all, there are 4 possibilities as roots for this polynomial. But there are only 3 total (because our polynomial is a third degree), so we have to find the first one, at least, from our possibilities above. Let's try x = -1, factor form (x + 1). If there is no remainder when we do the synthetic division, then -1 is a root. Put -1 outside the "box" and the coefficients from the polynomial inside: -1 (1 2 -1 -2). Bring down the first coefficient of 1 and multiply it by the -1 outside to get -1. Put that -1 up under the 2 and add to get 1. Multiply 1 times the -1 to get -1 and put that -1 up under the -1 and add to get -2. -1 times -2 is 2, and -2 + 2 = 0. So we have our first root of (x+1). The numbers we get when we do the addition along the way are the coefficients of our new polynomial, the depressed polynomial (NOT a sad one cuz it hates math, but a new polynomial that is one degree less than that of which we started!). The new polynomial is
. That can also be factored to find the remaining 2 roots. Use standard factoring to find that the other 2 solutions are (x+2) and (x-1). Our solutions then are x = -2, -1, 1, choice B from above.
