Joan climbed down 330 feet to the bottom of a cave. Next, she climbed up 385 feet. What was her final elevation? Joan was

Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti

ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

$3x+3y=8$

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a. $3x+3y=8$

Differentiate w.r.t x then we get

$3+3\frac{dy}{dx}=0$

$3\frac{dy}{dx}=-3$

$\frac{dy}[dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

b. $3x+3y=8$

$3y=8-3x$

$y=\frac{8-3x}{3}$

Differentiate w.r.t x then we get

$\frac{dy}{dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

When we substituting the value of y obtained from part b into a solution of part a then we get

$y'=-1$

Hence, solutions are consistent.

8 0

3 years ago

If the sum of four consecutive numbers is 854, what is the third one?

lukranit [14]

Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

4x + 6 = 854,

4x = 854 - 6 = 848,

x = 848/4 = 212

The third number then should be 212 + 2 = 214

7 0

4 years ago

What is the solution of the inequality x/3 > 1?

Alika [10]

If you would like to know what is the solution of the inequality x/3 > 1, you can calculate this using the following step:

x/3 > 1 /*3
x > 1 * 3
x > 3

The correct result would be x > 3.

6 0

4 years ago

Ok so this isn't actual homework but I need help calculating this.

jeka57 [31]

Ok so there is 60 minutes in an hour and you have 107 minutes so
107-60 = 47 ( 60 has become an hour)

So we are left with 47 minutes, so add the hour to 7:45 which will make it 8:45 pm
Then add 15 to make it 9:00 pm ( 47 - 15 = 32)

And so then add 32 minutes to 9:00 pm

Answer is 9:32 p.m.

7 0

3 years ago

Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t

svetlana [45]

The correct option is B, II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

$r = (1 + \dfrac{i}{n} )^n - 1.$

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B, II. only.

To know more visit:

brainly.com/question/15846526

4 0

3 years ago