Answer:
y(-4) = 5
y'(-4) = -7
Step-by-step explanation:
Hi!
Since the tangent line T and the curve y must coincide at x=-4
y(-4) = T(-4) = 5
On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7
That is:
y'(-4) = -7
19) 48 alligators; 7/8 of the alligators were asleep. How many were not asleep?
8/8 - 7/8 = 1/8
48 * 1/8 = 48/8 = 6 alligators were not asleep.
20) 2/3 of the student population participated. 1,500 is the student population of the school. HOw many attended the bike rally?
1500 * 2/3 = 1500*2 / 3= 3000 / 3 = 1000 students attended.
21) 18 times at bat:
Kayla 5/6 of the time = 18 * 5/6 = 18*5 / 6 = 90/6 = 15 hits
Tia 8/9 of the time = 18 * 8/9 = 18*8 / 9 = 144/9 = 16 hits
Tia got more hits.
Perimeter = (2 × Length) + (2 × Width)
If the length is dependent on the width (because the length is 10 more than the width), we can say that L = W + 10.
To find the answer to the Peri, we have to find out what the W is first.
184 = 2(W + 10) + 2W
184 = 2W + 20 + 2W
184 = 4W + 20
184 - 20 = 4W = 164
164 ÷ 4 = W
41 = W
We have found out width. Our length is W + 10, so L = 41 + 10 = 51
W = 41 and L = 51
W = 21 - 3
weight of the tree = 21 pounds - 3 pounds
Answer:
running 1.5 hours
Walking 4.5 hours
Step-by-step explanation:
Let the amount of time she spends on walking be x
d/3 + d/9 = 6 Multiply by 9
3d + d = 6*9
4d = 54 Divide by 4
4d/4 = 54/4
d = 13 2/4 = 13 1/2 = 13.5 miles
d/3 = 13.5/3 = 4.5 hours
d/9 = 13.5/<u>9 = 1.5 hours</u>
Total 6 hours
I hope this is the right interpretation.
