Answer:

Step-by-step explanation:
We can simplify this expression by combining like terms.
To combine like terms, we are looking for terms that share the same variable and exponent.
First, we can see that the terms
and
share the same variable (h) and the same exponent (2).

This simplifies to
.
Next, we can see that
and
share the same variable (h) and the same exponent (1) so we can add these.

This simplifies to
.
Lastly, we can see that we just have 7, no more terms with the same variable (none). So this is 7.
Adding up all the terms in standard form (
), we get
.
Hope this helped!
Answer:
Option C The parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
Step-by-step explanation:
The correlation coefficient 0.78 shows that positive association between two variables number of customers and elapsed time until party left restaurant.
The positive association means that as the number of customers in a party increases the elapsed time also increase. So, we can say that the parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
Answer:
The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 5x + 4
g(x) = 9
<u>Step 2: Solve for </u><u><em>x</em></u>
- Substitute in function value: 9 = 5x + 4
- [Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
- [Division Property of Equality] Divide 5 on both sides: 1 = x
- Rewrite: x = 1
∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.
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Topic: Algebra I
Answer:
Step-by-step explanation:
17) B. They are adding 2 to both sides.
18) A. A segment is equal to itself.
19) D. They are multiplying both sides by 2.
20) C. They are simply swapping the left and right hand sides of the equation
g(x) = -3x² - 2x + 3
g(-2) = -3(-2)² - 2(-2) + 3
g(-2) = -12 + 4 + 3 = -5