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3 years ago

[Calc 1] An explanation on how to best solve this. I've been stuck trying to use chain rule

Mathematics

1 answer:

aev [14]3 years ago

4 0

Answer:

G'(y) = 4y^7(y+4)/(y+2)^5

Step-by-step explanation:

Work it a piece at a time.

Define z = y^2/(y+2). Then your derivative is found from the power rule as ...

G = z^4

G' = 4z^3·z'

Now, define z = u/v. Then your derivative is found using the quotient rule:

z' = (vu' -uv')/v^2 = ((y+2)(2y) -(y^2)(1))/(y+2)^2

Putting this together we have ...

$G'(y)=4\left(\dfrac{y^2}{y+2}\right)^3\cdot\dfrac{y^2+4y}{(y+2)^2}\\\\\boxed{G'(y)=\dfrac{4y^8+16y^7}{(y+2)^5}}$

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FG ∥ CB, A ∈ FG, D ∈ AB, E ∈ AC

andrey2020 [161]

Answer:

The value of x is $31^{\circ}$ .

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4= $28^{\circ}$

Hence, ∠1=∠4= $28^{\circ}$

And On FG the sum of angles will be $180^{\circ}$

∠3+∠2+∠1= $180^{\circ}$

$90^{\circ}$ +∠2+ $28^{\circ}$ = $180^{\circ}$

Hence, ∠2= $62^{\circ}$

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

$62^{\circ}+3x=x+4x$

On simplification we get:

$2x=62^{\circ}$

$x=31^{\circ}$

Hence, the value of x is $31^{\circ}$ .

3 0

3 years ago

Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42

Fed [463]

Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14

8 0

3 years ago

24= g/g +20. g/g is a fraction.

Stells [14]

Answer:

Subtract 20 from both sides.

24−20=9/g

2 Simplify 24-20 to 4

4=9/g

3 Multiply both sides by 9

4×9=g

4 Simplify 4×9 to 36

36=g

5 Switch sides.

g=36

Step-by-step explanation:hope it helps plz Mark me brainliest

8 0

3 years ago

You are running a fuel economy study. One of the cars you find is blue. It can travel 41 1/2 miles on 1 1/4 gasoline. Another ca

sashaice [31]

Answer:

Step-by-step explanation:

We want to study the fuel consumption of each car, i.e the amount of mile per gallon the cars will consume

Step one:

given data:

First car

distance covered= 41 1/2 = 41.5miles

amount of gallons= 1 1/4= 1.25gal

the miles per gallons= 41.5/1.25=33.2 miles per gallon

Second car

distance covered= 21 3/5= 21.6miles

amount of gallons=4/5= 0.8gal

the miles per gallons= 21.6/0.8=27 miles per gallon

1. Therefore the unit rate of

the first car = 33.2 miles per gallon

the second car=27 miles per gallon

2. the first car can travel a greater distance on 1 gallon of gasoline

8 0

3 years ago

the cost y (in dollars) for x pounds of deli meat is represented by the equation y=3.5x, graph the equation

wel

Answer:

I don't have the graph, but I'll explain what you need to do. Plot a point with the coordinates (1,3.5), (2,7), (3,10.5), and (4,14). Now draw a straight line connecting al these pints but don't go past the origin into the negative as in this situation it is not possible. There! Now you have a graph :)

8 0

3 years ago