Answer:
y= -4x+4
Step-by-step explanation:
y=mx+b
where x=-1, y=8, and m=-4
8=(-4)(-1)+b
8=4+b
4=b
Thus, y= -4x+4
Answer:
CI=P*(1 + R/100)^18
A=(CI + P) = P(1+R/100)^18
13500/P=1(100+R/100)^18
A/P=(100+R/100)^18
A/P=(100+R/100)^18
A=13500$ as (750 * 18)
(13500)/P=(1 +1.15/100)18
(13500)/P=(1+1.15/100)18
13500=((1.0115)^18
P=R$10989.02
Step-by-step explanation:
CI=Compound Interest
A=Amount
P=Principal.
B: -8
8 times 1 = 8, and since there is a negative in front of the 1 when you are multiplying, it should be -8/
Answer:
f(-4) = 56
Step-by-step explanation:
f(x) = 3x² - 2x
To find f(-4), substitute -4 for all the values of x in f(x).
f(-4) = 3(-4)² - 2(-4)
Square -4.
f(-4) = 3(16) - 2(-4)
Multiply 3 and 16.
f(-4) = 48 - 2(-4)
Multiply -2 and -4.
48 + 8
Add.
56
You had the right idea! :)
Answer:
x = 6
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
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Expand by FOIL (First Outside Inside Last)
- Factoring
- Multiple Roots
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
<em>a</em> = x + 3
<em>b</em> = x
<em>c</em> = √117
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: (x + 3)² + x² = (√117)²
- Expand [FOIL]: x² + 6x + 9 + x² = (√117)²
- Combine like terms: 2x² + 6x + 9 = (√117)²
- Exponents: 2x² + 6x + 9 = 117
- [SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0
- Factor out GCF: 2(x² + 3x - 54) = 0
- [DPE] Divide 2 on both sides: x² + 3x - 54 = 0
- Factor Quadratic: (x - 6)(x + 9) = 0
- Solve roots/solve <em>x</em>: x = -9, 6
Since we are dealing with positive values, we can disregard the negative root.
∴ x = 6
