Y = 2/3x + 3
If x = 3, plug it in the equation to find y for (3 , y)
y = 2/3(3) + 3
y = 6/3 + 3
y = 2 + 3
y = 5
(3 , 5)
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15 -15
x² - 2x - 15 = 0
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
No change is required in the 35th sentence of the consolations of philosophy.
<h3>What does sentence 35 from "The Consolations of Philosophy" explain?</h3>
- The sentence [35] emphasizes how the consolations of philosophy promote students to evaluate difficult material, challenge accepted views, and convey clear ideas in a more pragmatic manner by using the adverb "more pragmatically."
- As a result, Option A is correct and no adjustment is necessary.
- The remaining choices are inappropriate since they do not adequately explain this circumstance.
To learn more about "The Consolations of Philosophy" refer:
brainly.com/question/28073251
#SPJ4
The complete question is:
35th Line: But 35 more pragmatically, the discipline encourages students to analyze complex material, question conventional beliefs, and express thoughts in a concise manner.
What change, if any, should be made at [35th line -The Consolations of Philosophy]?
A) NO CHANGE
B) speaking in a more pragmatic way,
C) speaking in a way more pragmatically,
D) in a more pragmatic-speaking way,
Answer:
ln 27x²
Step-by-step explanation:
Using the rules of logarithms
• log
⇔ nlogx
• logx + logy ⇒ logxy
Given
3 ln 3 + 2 ln x, then
= ln 3³ + lnx²
= ln 27 + lnx² = ln 27x²
