Answer:
12 hr. mowing lawns
28 hr. working at Mc Donalds
Step-by-step explanation:
Let t = time mowing lawns
then 40 - t = time working at McDonalds
7,5(40 - t) + 6t = 282
300 - 7.5t + 6t = 282
-1.5t = -18
t = 12 hr. mowing lawns
40 - t = 40 - 12 = 28 hr. working at Mc Donalds
Answer:
y=2x/3 + 2
Step-by-step explanation:
3y= 2x +6
y=2x/3 + 2
CB = DA = √3*3+1*1 = √10
CD = BA = √2*2+1*1 = √5
Sum is 2√10 + 2√5 ≈ 10.8. So answer A.
Answer:
7/8
Step-by-step explanation:
The fraction closest to 1 is 7/8 because it is only 1/8 piece away from one.
To find the tangent line we will need the slope of the tangent at x=-1 (the x-coordinate of the point given). We find the slope by using the derivative of the curve.
Th curve given is

which can be solved for y by taking the root of both sides. We obtain

We find the derivative using the chain rule. Bring down the exponent, keep the expression in the parenthesis, raise it to 1/2 - 1 and then take the derivative of what is inside.

Next we evaluate this expression for x=-1 and obtain:

So we are looking for a line through (-1,2) with slope equal to -9/2. We use y=mx+b with m=-9/2, x=-1 and y=2 to find b.

2-(9/2)=b
b=-5/2
So the tangent line is given by y=(-9/2)x+(-5/2)