<h3>3 answers: Choice A, Choice C, Choice D</h3>
Basically, everything but choice B
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Explanation:
Lets go through the answer choices to see which are true or false.
For each, we'll be considering the graph of y = 1/x as shown below.
- A. True. We have two branches that are completely separate and never meet up, and those two branches are in quadrants Q1 and Q3. Both curves are always decreasing (going downhill as you move from left to right). This is because if x is positive, then so is y = 1/x. If x is negative, then so is y = 1/x. Any point (x,y) is either composed of two positive coordinates or two negative coordinates.
- B. False. A parabola is one single curve and we have two separate curves here.
- C. True. A hyperbola is composed of two curves as the graph of y = 1/x shows.
- D. True. The graph shows y = 1/x does not go through the origin. This is because we cannot have x = 0 in y = 1/x, or otherwise we have a division by zero error. A similar situation happens with y = 0 as well.
Option fourth "−48; velocity decreases at rate of 48 miles per hour as the time increases" is correct.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
We have a function:
v(t) = 352 − 48t
The above function represents the speed of a plane that is landing in the sky.
The function is a linear function.
On comparing with:
y = mx + c
v(t) = -48t + 352
m = -48
-48 is the slope and it representing velocity decreases at rate of 48 miles per hour as the time increases.
Thus, option fourth "−48; velocity decreases at rate of 48 miles per hour as the time increases" is correct.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ1
Answer:
So the final answer is
Step-by-step explanation:
Radicals:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.
The given expression is
Now take common radical out so we will get
Now add the Parenthesis part.
So the final answer is
The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Answer:y=35x+11
Step-by-step explanation:y=Mx+b
