Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = <em>x</em>
Adjacent Leg = 5.8
Hypotenuse = 7.3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:

- [Fraction] Divide:

- [Equality Property] Trig inverse:

- Evaluate trig inverse:

- Round:

Make it into a simultaneous equation:
5p + 4e = 7.65
4p + 5e = 7.20
Use adding/subtracting formula
The cost of an eraser is $1.44
Answer:
x=−4/5 or x=−3
Step-by-step explanation:
Step 1: Factor left side of equation.
(5x+4)(x+3)=0
Step 2: Set factors equal to 0.
5x+4=0 or x+3=0
x=−4/5 or x=−3
Answer:
1571 in
Step-by-step explanation:
Given data
Diamter= 25 in
radius= 25/2= 12.5in
Circumference= 2πr
substitute
C=2*3.142*12.5
C=78.55in
In 1 revolution the bike will travel 78.55in
in 20 revolutions the bike will travel
=78.55*20
=1571 in
This has to be done by hit and trial method. i.e. you have to checking adding which of the function from first column to function in second column will yield h(x).
The following functions yield given value of h(x).
f(x) = -2x + 3
g(x) = 7x - 9
f(x) + g(x) = -2x +3 + 7x - 9
f(x) + g(x) = 5x -6 = h(x)
So, from 1st column its the cell number 3, and from the second column its the cell number 2.