To solve this system of equations, start by plugging your equation for x wherever x appears in your second equation, giving you (y-3)+3y=13. Now, combine like terms, (y-3)+3y=13 => 4y-3=13, solve for y by adding 3, 4y-3=12 => 4y=16, divide by 4, 4y=16 => y=4. Now that you have your y value, plug it into the equation for x to get the x value, x=y-3=4-3=1. This makes your solution (1,4), answer choice A
The predicted strength is an illustration of a linear regression
The predicted strength of a weld with a diameter of 51 is -503.2
<h3>How to determine the predicted strength?</h3>
The equation of the predicted strength is given as:
Strength = -941.6992 + 8.5988*Diameter
Substitute 51 for diameter
Strength = -941.6992 + 8.5988*51
Evaluate the sum
Strength = -503.1604
Approximate
Strength = -503.2
Hence, the predicted strength of a weld with a diameter of 51 is -503.2
Read more about linear regressions at:
brainly.com/question/17844286
Answer:
g(f(2)) = 11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x - 2
g(x) = x² - 5
<u>Step 2: Find g(f(2))</u>
f(2)
- Substitute in <em>x</em>: f(2) = 3(2) - 2
- Multiply: f(2) = 6 - 2
- Subtract: f(2) = 4
g(f(2))
- Substitute in <em>x</em>: g(4) = 4² - 5
- Exponents: g(4) = 16 - 5
- Subtract: g(4) = 11
Factors of 18: 1, 2, 3, 6, 9, 18
So, it has 6 factors.
Answer:
$14.89
Step-by-step explanation:
Retail store = $10 x 5 hrs = $50
Restaurant Manager = $21 x 4 hrs = $84
Total earnings throughout the day = $134
Total time worked = 9 hrs
Avg = Total earnings/Total time
=> 134/9
=> $14.89.
