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
Answer:
$3.72
Step-by-step explanation:
Divide $2.79 by 3
$0.93 is the price of one orange
$0.93 times 4 is $3.72
Hope this helps!
angle ABE is equivalent
to the whole angle, and it measures 2b. <span>
while the angle ABF is only a portion of angle ABE, and it
measure 7b - 24.
<span>since we know the measure of the whole angle and a part of
the angle, we can then subtract to find the left over angle (angle EBF), so
Angle EBF = Angle ABE - Angle ABF </span></span>
Angle EBF = 2b – (7b –
24)
<span>Angle EBF = 24 – 5b</span>
Answer: the Russell family used their sprinkler for 40 hours.
the Gonzalez family used their sprinkler for 20 hours.
Step-by-step explanation:
Let x represent the number of hours for which the Russell family used their sprinkler.
Let y represent the number of hours for which the Gonzalez family used their sprinkler.
The families used their sprinklers for a combined total of 60 hours. It means that
x + y = 60
The water output rate for the Russell family's sprinkler was 35L per hour. The water output rate for the Gonzalez family's sprinkler was 40L per hour. The total water output of both families was 2200L. It means that
35x + 40y = 2200- - - - - - - - - - --1
Substituting x = 60 - y into equation 1, it becomes.
35(60 - y) + 40y = 2200
2100 - 35y + 40y = 2200
- 35y + 40y = 2200 - 2100
5y = 100
y = 100/5
y = 20
x = 60 - y = 60 - 20
x = 40
