(f + g)(x) means f(x) + g(x)
So, you just input the function of f(x) and g(x) altogether, then simplify it.
(f + g)(x)
= f(x) + g(x)
= 2x² + 1 + x² - 7
= 2x² + x² + 1 - 7
= 3x² - 6
The answer is b
Answer (2,-5) when it is reflected across x=3
Answer:
The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.
Step-by-step explanation:
Given : Suppose a brand of light bulbs is normally distributed, with a mean life of 1400 hr and a standard deviation of 150 hr.
To find : The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr ?
Solution :
Applying z-score formula,

where,
is population mean
is standard deviation
For x=1175 hour,



For x=1610 hour,



The required probability is,


Using z table, the values are


The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.
Answer:
2 pens for $0.90 is better
Step-by-step explanation:
Answer:
88°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Sum of Angles: 180(n - 2)°
Step-by-step explanation:
<u>Step 1: Identify</u>
We have a polygon, so n = 4.
- Substitute [SA]: 180(4 - 2)°
- (Parenthesis) Subtract: 180(2)°
- Multiply: 360°
This tells us the sum of all angles in the shape.
<u>Step 2: Solve for </u><em><u>x</u></em>
- Set up equation: 90° + 93° + 89° + x° = 360°
- Combine like terms: x° + 272° = 360°
- Isolate <em>x</em>: x = 88°