Answer:
2x³ + 12x² + 10x - 24
Step-by-step explanation:
(2x² + 6x - 8)(x + 3) Distribute
2x³ + 6x² + 6x² + 18x - 8x - 24 Combine like terms
2x³ + 12x² + 10x - 24 This expression is in standard form
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Answer:
Enter a payment of 5192.52.
Step-by-step explanation:
Consider the provided information.
The payment is $4800 with a 4 month, 8% note.
The amount can be calculated as:

Where <em>p</em> is money invested, <em>r</em> is annual interest rate, <em>t</em> is number of years and <em>m</em> is number of period.
Now substitute p = 4800 r = 0.08 and m = 4 in the above formula.





Hence, enter a payment of 5192.52.
Answer:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°
Answer:
8
Step-by-step explanation:
3,4,5 and 6,_,10 are similar. what do you notice between the two? 6 is twice of 3. 10 is twice of 5. so then 4 would be half of 8.
hope i helped ;)
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.