Answer:
y = -(2/3)x + 3
C
Step-by-step explanation:
The slope of the equation that was given is - 2/3
The slope in a slope intercept equation is the number in front of the x when the value of the number in front of the y = 1 and x and y are on opposite sides of the equal sign. Let's translate that.
The original equation is y = -(2/3)x + 5/3
- y and x have to be on opposite sides of the equal sign [They are]
- The slope is the number in front of the x. That's (-2/3). That makes A incorrect.
Now you need to use the given point
The point is (-3 , 5) Put this into the equation that you have so far
y = (-2/3)x + b
y = 5
x = -3
5 = (-2/3)(-3/1) + b Substitute in the givens
5 = (-2 * -3)/3 + b Multiply -2 * - 3 = 6
5 = 6/3 + b Divide the 6 by 3
5 = 2 + b Divide
5 - 2 = b Subtract 2 from both sides
3 = b Switch sides
b = 3
Answer y = (-2/3)x + 3 or C
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
→The vertical line test is when you hold something (like a pencil), straight up/vertically, and you move it from left-to-right to see if any two points repeat.
<u>→The correct answer is "D. Yes; the graph passes the vertical line test,"</u> because the x-values can't repeat, not the y-values, if the graph were to show a function. In this case, the graph passes the vertical line test.
Answer: hello your question to the given scenerio is missing below is the missing question
question: Does this setting represent a Binomial distribution ?
answer : Yes the setting represents a Binomial distribution
Step-by-step explanation:
The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present which are
- The random variable ( number of times a crinkled paper is picked ) is represented as Y
- Each sample is drawn independently and with replacement
- there are only two outcomes ( success or failure )
- Number of trials is given as 10
- probability of success = 25 / 100 = 0.25
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Answer:
Step-by-step explanation:
Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.
["a" is the base, and "x" and "y" are the exponents]
Using this we find...
When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.
Using this we find...
