The equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 is y = 4x³.
<h3>We can find how the equation is vertically stretched below:</h3>
When an equation is vertically stretched, it means that the parent equation has been multiplied by a number that is more than one.
This means that the equation is multiplied by some factor.
It is given that we should describe how the parent function is vertically stretched by a factor of 4.
The parent function is given as y = x³.
Since the equation is said to be vertically stretched by a factor of 4, we must multiply the parent equation by 4 to stretch it.
Therefore, we have found the equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 to be y = 4x³.
Learn more about vertically stretching equations here: brainly.com/question/13671886
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Answer:
Step-by-step explanation:
So there are two types of variables we need to focus on, the first is the dependent variable, the second is the independent variable ( which is the one in question). You asked about it in relation to mathematics, although even across the board, in science they both really mean the same thing. Here's an example, say you are taking a test, and the rubric for grading the test is 5 points (p) for every question (q) answered correctly. So given that information you can conclude that (p) is equal to 5 x the amount of questions you got right (p = 5q). The amount of points in this equation relies on how many questions you get right, you can't logically say that question (q) is equal to 5 points (p), because the questions don't depend on the points, the points depend on the amount of questions you get right. So that means since the points (p) depend on the # of questions you answered correctly, it is the dependent variable, there for by process of elimination you're independent variable is (q) since they don't rely on the points, the points rely on the questions. It all boils down to how well you can recognize this, and how complicated your question is, but hopefully this provided some insight.
Answer:
the answer is D
Step-by-step explanation:
the graph has a negative correlation
The distance between the two planes will be 800 miles.
It should be noted that the total speed of the two planes will be the sum of their individual speeds. Also, the planes have 1 hour to meet each other.
From the information given, the distance between the planes is 200 miles after they flew for 45 minutes. Therefore, the remaining distance will be:
= 1 hour - 45 minutes = 15 minutes.
The distance between the planes will then be:
= 200/15 × 60
= 200 × 4
= 800 miles
Therefore, the distance between the two planes will be 800 miles.
Read related link on:
brainly.com/question/4490374
Answer:
w = 8
Step-by-step explanation:
–9 = –3(w − 5)
-3(w - 5) = -9
w - 5 = 3
w = 5 + 3
w = 8