Answer:
x=-3 x=-1 x=2 x=-2
Step-by-step explanation:
p(x) = (x^2 + 4x + 3)(x^2 – 4)
Set this equal to zero to find the x intercepts
0 = (x^2 + 4x + 3)(x^2 – 4)
Using the zero product property
(x^2 + 4x + 3) =0 (x^2 – 4) =0
Factor
(x+3)(x+1) =0 (x-2) (x+2)=0
Using the zero product property
x+3 =0 x+1 =0 x-2 =0 x+2 =0
x=-3 x=-1 x=2 x=-2
The formula for volume is V=Bh where B is the area of the base.
plug in what they have given you:
600=B(15) you can divide both sides by 15
40=B We know that a cylinder's base is a circle so we can use the area f formula for a circle to solve for the radius.
40 = pi(r)^2 divide both sides by pi to get the r^2 alone
40/pi=r^2 square root both sides to get rid of the square
you should get
r=3.5 approximately
Answer:
3.
Step-by-step explanation:
The scale factor is basically what figure B is divided by.
9 / 3 = 3
3.6 / 3 = 1.2
3,500 m so 3 km and 500 m
Answer:
B. x = -1 ± i
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>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Quadratic Formula:
<u>Algebra II</u>
- Imaginary Numbers: √-1 = i
Step-by-step explanation:
<u>Step 1: Define</u>
x² + 2x = -2
<u>Step 2: Identify Variables</u>
- Rewrite Quadratic in Standard Form [Addition Property of Equality]: x² + 2x + 2 = 0
- Break up Quadratic: a = 1, b = 2, c = 2
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute in variables [Quadratic Formula]:
- [√Radical] Evaluate exponents:
- Multiply:
- [√Radical] Subtract:
- [√Radical] Factor:
- [√Radicals] Simplify:
- Factor:
- Divide:
