All categories

3 years ago

Solve for c: c= 5 5/6 x 2 A. 10 5/6 B. 11 2/3 C. 10 2/3 D. 11 5/6

Mathematics

1 answer:

exis [7]3 years ago

6 0

Answer:

B. 11 2/3

Step-by-step explanation:

c = 5 5/6*2

Change the mixed number to an improper fraction

5 5/6 = (6*5+5)/6 = (30+5)/6 = 35/6

c = 35/6 *2

c = 35/6 *2/1

= 70/6

Now we change it back to a mixed number

6 goes into 70 11 times

11*6 = 66 with 4 left over

11 4/6

We can simplify 4/6 by dividing the top and bottom by 2

11 2/3

You might be interested in

How is this number expressed in scientific notation?

xenn [34]

Answer:

$5$ × $10^9$

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

$5$ × $10^9$

Finito :D

5 0

3 years ago

Omg it was wrong help!!!!!

Akimi4 [234]

Answer:

b is 63, not -63

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Can anybody help plzz?? 65 points

Yakvenalex [24]

Answer:

$\frac{dy}{dx} =\frac{-8}{x^2} +2$

$\frac{d^2y}{dx^2} =\frac{16}{x^3}$

Stationary Points: See below.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Calculus

Derivative Notation dy/dx

Derivative of a Constant equals 0.

Stationary Points are where the derivative is equal to 0.

1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef
2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undef

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

$f(x)=\frac{8}{x} +2x$

Step 2: Find 1st Derivative (dy/dx)

Quotient Rule [Basic Power]: $f'(x)=\frac{0(x)-1(8)}{x^2} +2x$
Simplify: $f'(x)=\frac{-8}{x^2} +2x$
Basic Power Rule: $f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}$
Simplify: $f'(x)=\frac{-8}{x^2} +2$

Step 3: 1st Derivative Test

Set 1st Derivative equal to 0: $0=\frac{-8}{x^2} +2$
Subtract 2 on both sides: $-2=\frac{-8}{x^2}$
Multiply x² on both sides: $-2x^2=-8$
Divide -2 on both sides: $x^2=4$
Square root both sides: $x= \pm 2$

Our Critical Points (stationary points for rel max/min) are -2 and 2.

Step 4: Find 2nd Derivative (d²y/dx²)

Define: $f'(x)=\frac{-8}{x^2} +2$
Quotient Rule [Basic Power]: $f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2$
Simplify: $f''(x)=\frac{16}{x^3} +2$
Basic Power Rule: $f''(x)=\frac{16}{x^3}$

Step 5: 2nd Derivative Test

Set 2nd Derivative equal to 0: $0=\frac{16}{x^3}$
Solve for x: $x = 0$

Our Possible Point of Inflection (stationary points for concavity) is 0.

Step 6: Find coordinates

Plug in the C.N and P.P.I into f(x) to find coordinate points.

x = -2

Substitute: $f(-2)=\frac{8}{-2} +2(-2)$
Divide/Multiply: $f(-2)=-4-4$
Subtract: $f(-2)=-8$

x = 2

Substitute: $f(2)=\frac{8}{2} +2(2)$
Divide/Multiply: $f(2)=4 +4$
Add: $f(2)=8$

x = 0

Substitute: $f(0)=\frac{8}{0} +2(0)$
Evaluate: $f(0)=\text{unde} \text{fined}$

Step 7: Identify Behavior

See Attachment.

Point (-2, -8) is a relative max because f'(x) changes signs from + to -.

Point (2, 8) is a relative min because f'(x) changes signs from - to +.

When x = 0, there is a concavity change because f"(x) changes signs from - to +.

3 0

3 years ago

Jennifer spent $100 at the mall, during tax free weekend.

Ugo [173]

Answer:

Step-by-step explanation:

55+20=75 and the other percentage is 25

7 0

3 years ago

PLEASE HELP I am confused on these equations

mamaluj [8]

Answer:

See below.

Step-by-step explanation:

I'll show you step by step how to do the synthetic division.

You are dividing polynomial -6x^4 + 22x^3 + 3x^2 + 15x + 20 by x - 4.

From the polynomial, you only need the coefficients in descending order of degree as they are written.

-6 22 3 15 20

In synthetic division, you divide by x - b. You are dividing by x - 4, so b = 4.

The 4 is written to the left of the coefficients of the polynomial.

___________________

4 | -6 22 3 15 20

___________________

This is what the setup looks like. You can see it in the problem you were given.

The first step is to just copy the leftmost coefficient straight down to below the line.

___________________

4 | -6 22 3 15 20

___________________

-6

Now multiply b, which is 4, by -6 and write it above and to the right.

___________________

4 | -6 22 3 15 20

-24

___________________

-6

Add 22 and -24 and write it next to -6.

___________________

4 | -6 22 3 15 20

-24

___________________

-6 -2

Multiply 4 by -2 and write it above and to the right. Add vertically.

___________________

4 | -6 22 3 15 20

-24 -8

___________________

-6 -2 -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

___________________

4 | -6 22 3 15 20

-24 -8 -10

___________________

-6 -2 -5 -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

___________________

4 | -6 22 3 15 20

-24 -8 -10 -20

___________________

-6 -2 -5 -5 0

The 4 numbers in the second line are the coefficients of the quotient.

The quotient is 1 degree less than the original polynomial.

The quotient is: -24x^3 - 8x^2 - 10x - 20

The last number on the third line is the remainder. Since here the reminder is zero, that means that this division has no remainder. The remainder is 0/(x - 4)

Fill in the boxes with:

-24, -8, -10, -20

-6, -2, -5, -5, 0

-24x^3 - 8x^2 - 10x - 20

6 0

3 years ago