The equations give you information as to where to plot points.
For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.
For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.
I hope this helps.
Answer:
<h2>
15 souls </h2>
Step-by-step explanation:
If a shoemaker makes three new souls every four minutes, the number of soles he will make in an hour can expressed as shown;
3 souls = 4 minutes
x souls = 1hour (60 minutes)
Cross multiplying to get the number of souls;
4 * x = 3 * 60
4x = 180
x = 180/4
x = 45souls
Hence the number of souls made by this shoemaker in an hour is 45 souls.
Similarly, If another shoemaker makes two new souls every three minutes, the number of soles he will make in an hour can expressed as shown;
2 souls = 3 minutes
y souls = 1hour (60 minutes)
Cross multiplying to get the number of souls;
3 * y = 2 * 60
3y = 120
y = 120/4
y = 30souls
Therefore the number of souls made by this shoemaker in an hour is 30 souls.
The difference in the number souls they made in an hour will be x - y where x = 45 souls and y = 30 souls.
x - y = 45 - 30
The difference is equal to 15 souls
Part A...Y=9, Part B, m=54 degrees
Answer:
Step-by-step explanation:
Gym A has a $150 joining fee and costs $35 per month.
Assuming that Casey wants to attend for x months, the cost of using gym A will be
150 + 35 times x months. It becomes
150 + 35x
Gym B has no joining fee and costs $60 per month.
Again, assuming that Casey wants to attend for x months, the cost of using gym B will be
60 × x months = 60x
A) To determine the number of months that it will both gym memberships to be the same, we will equate them.
150 + 35x = 60x
60x - 35x = 150
25x = 150
x = 150/25 = 6
It will take 6 months for both gym memberships to be the same.
B) If Casey plans to only go to the gym for 5 months,
Plan A will cost 150 + 35×5 = $325
Plan B will cost 60 × 5 = $300
Plan B will be cheaper
Answer:
The function
f(x) = x3 + 2x2 − x − 2
is a trinomial and it is expected that it has three factors corresponding to the three roots. The possible roots could 1, -1, 2, or -2. Trying out 1
f(1) = 1 + 2 - 1 - 2 = 0
According to the remainder theorem (x - 1) is a factor. By doing synthetic division
1 | 1 2 -1 -2
1 3 2
1 3 2 0
f(x) = (x - 1)(x2 + 3x + 2)
which can further be factored into
f(x) = (x -1)(x +1)(x + 2)
The three factors are
x-1
x+1
x+2
which are all linear expressions
Step-by-step explanation:
