Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points
Answers
Answer:
Step-by-step explanation:
Part A:
We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:
2 - x = 4x + 3
Part B:
In order to solve the equation we need to put the like terms together. So we will add x on each side.
2 - x = 4x + 3
+x +x
So now we get:
2 = 5x + 3
Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.
2 = 5x + 3
-3 -3
So now we get:
-1 = 5x
Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:
=
No we see that:
x =
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What is -5/8 + 3/4 ?
A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?A)The graph of the function is positive on (–6, –2). B)The graph of the function is negative on (negative infinity, 0). C)The graph of the function is positive on (–2, 4). D)The graph of the function is negative on (4, positive infinity).
Answers
The equation of line in the slope intercept form is y = 6x - 8 , where the slope of the line is m = 6
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 6
Let the y intercept of the line be = -8
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 6x - 8 be equation (1)
Hence , the equation of line is y = 6x - 8
To learn more about equation of line click :
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Answer:
y=6x-4
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
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or, 56 = 2(2.5 breadth + breadth)
or, 56 = 7*breadth
breadth = 56*7 = 8 cm
length = 2.5*8 = 20 cm
Answers
P - identify the problem
A - identify the alternatives
C - determine criteria
E - evaluate alternatives
D - make a decision
Problem: What job to take?
Alternatives:
1st job: movie theater ; 8.50/hr ; near his house or walking distance
2nd job: grocery store ; 9.00/hr ; 30 minutes travel
Criteria:
travel time and travel cost
Evaluate:
1st job: walking distance, no traffic worries nor fuel expenses
2nd job: 30 minutes travel time, consider traffic, fuel expenses
Decision:
It is more practical to accept the job in the movie house. Even though it is only 8.50 per hour, travel expenses is 0 and there is no difficulty in going to work.
Answer:
Movie Theater
Step-by-step explanation:
P - identify the problem
A - identify the alternatives
C - determine criteria
E - evaluate alternatives
D - make a decision
1st job; $8.50 an hour
2nd job; $9 an hour
1st job; walking distance, no fuel or car expenses
2nd job; 30 minutes away, need to pay for a bus or gas for a car
I say he should get the job at the movie theater, its closer so he doesnt need to spend money on gas or for a way to get to the other job. It's only $.50 more for the other job but he would cost more for a way to get there.
Answers
Answer: 4 hours
Step-by-step explanation:
A. 5
B. 6
C.55
D. 56
Answers
Answer: Option C. 55
Solution:
The key for a stem-and-leaf plot is:
12 | 5 = 12 5
Stem | Leaf = Stem Leaf
55 | 6 = 55 6
Stem: 55
Leaf: 6
Answer:
C. 55
Step-by-step explanation:
In a stem and leaf plot, the quantitative data can be presented in a type of graphical format in which the "leaf " represents the last digit, and the stem represents the first digit or digits.
In this case the leaf is the at the end, and the stem is the remaining digits, which is 55.