Answer:
Only the second equation is an identity
Step-by-step explanation:

<u>Note that </u>

<u>You can confirm it: </u>

<u>Therefore</u>



<h2>
It is not an Identity</h2>
<u>Let's the second one</u>

In this case, we already performed the calculations, so it is true. It is an Identity.
Answer:he must save an average of $150 or more in each of the remaining 8 months.
Step-by-step explanation:
Mr. Helsley wishes to save at least $1500 in 12 months. If he saved $300 during the first 4 months, then the amount left would be
≥ 1500 - 300
Let x represent the least possible average amount that he must save in each of the remaining 8 months. This means that the total amount that he would save in the last 8 months would be 8x. Therefore,
300 + 8x ≥ 1500
8x ≥ 1500 - 300
8x ≥ 1200
x ≥1200/8
x ≥ 150
Answer:
18.18% of employees rode the bus to work last year
Step-by-step explanation:
This question can be solved using a rule of three.
Last year, a proportion of x employees riding the bus was 100% = 1.
This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.
So
0.2 - 1.1
x - 1



0.1818*100 = 18.18%
18.18% of employees rode the bus to work last year
It is 2.56 because per pound equals the amount
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1