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3 years ago

Solve for the fraction -3/6 - 5/7

Mathematics

1 answer:

AnnZ [28]3 years ago

7 0

Answer:

3/6-5/7 you take away 2/2 because you subtract for example 5/15 added by 6/15 equals 11/15

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If you subtract 16 from my number and multiply the difference by -7, the result is -154 What is my number

adell [148]

Answer:

16-x*(-7)=-154

7x =-154-16

7x/7=-170/7

X=-24.29

Step-by-step explanation:

Let x represent "my number"

7 0

2 years ago

Adam says that the number 4 has four factors. Explain why this statement is incorrect.

Mkey [24]

4 only has three factors 1,2,4. 4 times 1 and 2 times . No other possible combinations making Adam wrong.

3 0

3 years ago

The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Area of a Rectangle: A = lw

l is length
w is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

$\displaystyle w = 23 \ meters$

$\displaystyle \frac{dw}{dt} = 1 \ m/day$

Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

Given: 2x^2+3x-5, g(x)=x+9. Find: (fg)(3)

Svetradugi [14.3K]

Answer:

264

Step-by-step explanation:

$f(x)=2x^2+3x-5$

$g(x)=x+9$

$(fg)(x)=f(x) \times g(x)$

$\implies (fg)(x)=(2x^2+3x-5)(x+9)$

$(fg)(3)=(2(3)^2+3(3)-5)(3+9)$

$\implies (fg)(3)=22 \times 12$

$\implies (fg)(3)=264$

8 0

2 years ago

Explain how 9*4 can help you find 9*8

statuscvo [17]

It can help because 9×4 =36, and 9×8=72. if you divide 72 by 2 you get 36 which is the answer to 9 ×4. basically because nine is the same in both problems you are multiplying by 4 (and you know 4 is half of 8) you can assume that multiplying the sum of 4 and 9 that you will get the sum of 8 and 9.

4 0

3 years ago

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