Answer:
or approximately (0.544, 4.179)
Step-by-step explanation:
A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

Set
equal to 8/7 and solve for x:

Therefore,
will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into
to get the y-coordinate:

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)
Answer:
8n.
Step-by-step explanation:
You would be multiplying the amount of teams by the number of members to find the total members, hence 8 times n.
Answer:
130 calories in the ice cream and 500 calories in the pie.
Step-by-step explanation:
Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.
4x-20=500
If we add twenty to both sides, we end up with:
4x=520
Divide both sides by four, and you get x=130.
there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.
Answer:
5
Step-by-step explanation:
f(x)=3x-1
f(2)=3×2-1
f(2)=6-1
f(2)=5
Step-by-step explanation:
Name the total of pens purchased as x and the pencils as y... Make two equations and solve them. I also search for the pencils purchased in addition