Please help 50 pointsPart A: Explain why the x-coordinates of the points where the graphs of the equations y = 4–x and y = 2x + 3 intersect are the solutions of the equation 4–x = 2x + 3. (4 points)

Part B: Make tables to find the solution to 4–x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4–x = 2x + 3 graphically? (2 points)

Answers

Answer 1
Answer: Hi There! :D

Part A) you have the equations of two lines: y = 4-x and y = 2x + 3 If a point is on the first line AND that same point is on the other line, then the point must be at the intersection (where the lines cross). the y value of this point will be BOTH 4-x and 2x+3. In other words 4-x= 2x+3

part C) graph the two lines y = 4-x and y = 2x + 3 and see where they intersect. That is, pick out the (x,y) pair that is on both lines.

Answer 2
Answer: Part A:To find the point where the two lines intersect, you must find the common point (x). To find this, you must set the two equations equal to each other.


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Daniel has $13.58 in his bank account from interest earned. Kenneth has an account that earns 3 times as much interest, in dollars, as Daniel. How much does Kenneth have in his bank account from interest?

Answers

Answer:

$40.74

Step-by-step explanation:

Daniel's bank account interest is $13.58.

Kenneth's bank account interest is 3 times that of Daniel's account interest.

Hence the amount of interest in Kenneth's account shall be = 3 × $13.58

= $40.74

You spent $7 more than you had. Write an integer to represent this? Would it be -7?

Answers

Answer:

The required integer would be -7.

Step-by-step explanation:

We have been given that you spent $7 more than you had. Write an integer to represent the given situation.

Since you spent $7 more than your savings, so your account will be debited with -$7.

Therefore, the integer -7 represents the given situation.

that would be correct

A worker’s earnings e(n) for n hours when the worker’s hourly wage is $8.25

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