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 surface area would be 26.5487 m².
The surface area of a cylinder is equal to the area of the circles at both ends, added to the area of the rectangular portion in the middle. The rectangle in the middle has a width equal to the circumference of the circle and a length equal to the height of the cylinder.
The circumference of a circle is given by C = πd, and the area of the circles is given by A=πr².
Since the height is in meters, we will convert it to cm. 3.5 m = 350 cm.
The diameter is 190 cm, so the radius is 190/2 = 95 cm.
This gives us:
SA = 3.14(190)(350)+2(3.14)(95)²
= 208810 + 56677 = 265487 cm² = 26.5487 m²
If a person bought 8 items and each item was priced at $4, that means the total amount spent was $32.
The person received 8 dollars in change. This means that the person payed 8 dollars more than what they spent. Well, we just found out how much they spent, so we can find out how much money the person gave the vendor.
Let p = amount of money paid by the person.
The person gave the vendor $40.
you find what they both divide by and then divide each one and then you keep doing that until you cant no more
