Answer: (2,11)
Step-by-step explanation:
To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.
5x+1=-2x+15 [add both sides by 2x]
7x+1=15 [subtract both sides by 1]
7x=14 [divide both sides by 7]
x=2
Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.
f(2)=5(2)+1 [multiply]
f(2)=10+1 [add]
f(2)=11
The point on f(x) is (2,11).
g(2)=-2(2)+15 [multiply]
g(2)=-4+15 [add]
g(2)=11
The point on g(x) is (2,11).
Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).
The equation is y= -2.
How? If you recall, a linear equation is y= mx+b. The m is the slope (growth) and b is the y-intercept ( where the line crosses the y-axis).
Now since there is no slope or m, the equation would look like this:
y= b or y= 0+b
Next, you want to input the coordinator points (0, -2) into the equation. reminder: (x, y) = x=0 y= -2
y= 0+ -2
y= -2
And there you go! The equation is y= -2. I hope I help you in solving this problem, if not message me, because I'll be glad to help you.
Answer:
A frequency table and a line plot show which value occurs most often. this is done by labeling every value. The person can clearly see the organized layedout numbers in a frequency table or line plot.
Step-by-step explanation:
If you have any questions feel free to ask in the comments.
Answer:
i figured it out the number is 12,316 if i am correct
Here's what you need to know in order to answer this:
1 gallon = 128 fl oz
and
1 day = 24 hours.
Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.
(11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)
= (11 x 24 x 1 / 128) (fl-oz - hr - gal) / (hr - da - fl-oz)
= 2.0625 gal/da
