The larger of two numbers exceeds twice the smaller by one. The system of equations are y = 2x + 1 and y + 6 = 3x. So option 2 is correct
<u>Solution:</u>
Given, y is the larger number and x be the smaller number.
We have to find which of the given systems of equations represents the word problem?
Now, the larger of two numbers exceeds twice the smaller by one.
Then, y – (2 × x) = 1 ⇒ y – 2x = 1 ⇒ y = 2x + 1
And, three times the smaller exceeds the larger by six
Then, 3 × x – y = 6 ⇒ 3x – y = 6 ⇒ y + 6 = 3x
Hence, the system of equations are y = 2x + 1 and y + 6 = 3x. so option 2 is correct.
Slope Formula: y2-y1/x2-x1
= -6-(-3)/-9-5
=-3/-14
= 3/14
Remember, when you have 2 negative numbers in a fraction it changes it to a positive fraction.
The final slope is 3/14.
Hope This Helped! Good Luck!
Answer:
<u>Chris charges more per acre than Joe </u>
Step-by-step explanation:
Joe charges $40 to mow 2 acres.
So, Joe charges per acre = 40/2 = $20
Chris charges $30 to mow 1.2 acres.
So, Chris charges per acre = 30/1.2 = $25
∵ 25 > 20
<u>So, Chris charges more per acre than Joe </u>
The answer is 78.4. Hope this helps!
Answer:
A. 14
Step-by-step explanation:
