True or False - Explain the graphs of two different direct variations can be parallel
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One hundred thirty people were asked to determine how many cups of fruit and water they consumed per day. The results are shown in the frequency table. Identify the conditional relative frequency by row. Round to the nearest percent. The conditional relative frequency that someone ate more than 2 cups of fruit, given the person drank less than or equal to 4 cups of water is approximately . The conditional relative frequency that someone ate less than or equal to 2 cups of fruit, given the person drank more than 4 cups of water is approximately .
I just need the answer for number 15 please
Ellentown College had approximately 3 x 10 to the 3rd power students and Pengrove University has approximately 30,000 students. How many times as much is the number of students at Pengrove University as the number of students at Ellentown College?
The expression 8a+5c can be used to find the cost of an all you can eat buffet lunch for a adults c for children what is the cost of the lunch for 2 adults and 4 children
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Here are two ways to graph it. You can decide which one seems easier to understand or easier to do:
==> Manipulate the equation into the "slope-intercept" form, where 'y' is
all alone on one side and everything else is on the other side:
3x + 2y = 6
Subtract 3x from each side: 2y = -3x + 6
Divide each side by 2 : y = -3/2 x +3
This is the form you want. Just looking at it, it tells you that the slope
of the line on the graph is (-3/2), and it crosses the y-axis at +3 .
That's enough information to draw the line.
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=> Another way:
Look at the x-axis and the y-axis on the graph paper ... without any graph drawn on it yet. Just look at the 2 axes.
With an 'x'-number and a 'y'-number, you can find any point on it. Right ?
OK. Notice that at every point on the y-axis, x = 0 . And at every point
on the x-axis, y = 0. This can be very very helpful.
Now take your equation: 3x + 2y = 6 .
You know that the graph is going to be a straight line. And it's pretty obvious that if the line isn't horizontal or vertical, then it has to cross both the x-axis and the y-axis somewhere. If you had an easy way to find the two points where it crosses the axes, you could join those 2 points and you'd have your line !
You DO have an easy way to find those points !
If x=0, then the point is on the y-axis. Take your equation, make x=0, and it'll show you where the line crosses the y-axis:
3(0) + 2y = 6 .
2y = 6 .
Divide each side by 2 : y = 3 .
There's one point on the line: (0, 3)
Now remember that if y=0 the point is on the x-axis. So take your equation
and make y=0:
3x + 2(0) = 6
3x = 6
Divide each side by 3 : x = 2
There's another point on the line, where it crosses the x-axis: (2, 0) .
Shazam ! You have the 2 points where the line crosses the x- and
y- axes. Mark each one with a little dot, put your ruler down along
them, draw a line between them, and extend it as far in each direction
as you want to. That's the graph of your equation.
(2,0) x intercept
(0,3) y intercept
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View the best: 25 + 5.95x
Equal monthly bills:
40 + 4.95x = 25 + 5.95x
5.95x - 4.95x = 40 - 25
x = 15
Answer: 15
Final answer:
The number of pay-per-view movies that would generate an equal monthly bill from both E-Z View cable company and View the Best company is 15 movies. This is found by setting up and solving a linear equation based on the monthly charges of each company.
Explanation:
This question is about using linear equations to solve a real-world problem. Let's say 'x' is the number of pay-per-view movies. Therefore, we can form two equations:
- E-Z View cable company: 40 + 4.95x = monthly cost
- View the Best company: 25 + 5.95x = monthly cost.
To find the number of pay-per-view movies that would make the two monthly costs equal, set the two equations equal to each other and solve for x.
- 40 + 4.95x = 25 + 5.95x
- Subtract 4.95x from both sides: 15 = 1x
- So, '15' pay-per-view movies would generate equal monthly bills from the two companies.
Learn more about Linear Equations here:
#SPJ11
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The final result is: j < 48.
j/4 < 4 + 8
j4 < 12
j < 12 X 4
j < 48
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Answer:
You need to paint 9 faces to earn $15 in profit.
Step-by-step explanation:
Given : You buy painting supplies for $12, and you charge $3 per person to paint faces.
To find : How many faces will you need to paint to earn $15 in profit?
Solution :
Let x represent the number of faces painted.
According to question,
Solving equation,
Therefore, You need to paint 9 faces to earn $15 in profit.
Investment = $12
For $15 profit, I have to earn, 12+15 = $27
Charge for 1 person(for paint faces) = 3
multiply by 9,
9 persons= $27
So, 9 person is the answer.
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The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
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That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
y = –3x + 2
y = –3x + 4
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there is no solution, they have the same slope