9514 1404 393
Answer:
A: (3x +4)
B: (4x +5y) × (4x -5y)
Step-by-step explanation:
<u>Part A</u>:
Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.
9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²
The side of the square is 3x+4.
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<u>Part B</u>:
The difference of squares is factored like this:
a²-b² = (a +b)(a -b)
The given area expression is the difference of squares with ...
a = 4x, b = 5y
so, the factorization is ...
16x² -25y² = (4x +5y)(4x -5y)
The dimensions of the rectangle are (4x+5y) by (4x-5y).
Answer: $9.
Step-by-step explanation:
It is given that,
Regular price of a new chair = $75.00
This week the chair will be on sale at a 12% discount. So,
Rate of discount = 12%
We need to find the amount of money that will Jessica save if she buys the chair this week.



Therefore, Jessica will save $9 if she buys the chair this week.
Answer:
A 5.5% = 5400 B 5% = 1800
Step-by-step explanation:
A + B = 7200
A * 0.055 + B * 0.05 = $387
A = 7200 - B
(7200 - B)*0.055 + B*0.05 = 387
396 - 0.055B + 0.05B = 387
396 - 0.005B = 387
0.005B = 9
B = 1800
A = 7200 - B = 7200 - 1800
A = 5400
The equation is 3.50x=31.50
The answer is 9
Football = 210 people = 42% on graph
210 ÷ 42 = 5
(Football People ÷ Percentage = People per percentage)
1% =5 people
100% = entire chart
100 × 5 people = 500 people
500 people were surveyed
Check work:
500 × .25 = 125 votes for soccer
500 × .33 = 165 votes for baseball
500 × .42 = 210 votes for baseball
= 500 total votes