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valentina_108 [34]
3 years ago
6

What is the solution set for the open sentence with the given replacement set? x2 + 2 = x + 8, {1, 3, 4, 5}

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0
X^2 + 2 = x + 8
x^2 - x + 2 - 8 = 0
x^2 - x - 6 = 0
Input 1 => 1^2 - 1 - 6 = 1 - 1 - 6 = -6
Input 3 => 3^2 - 3 - 6 = 9 - 3 - 6 = 0
Input 4 => 4^2 - 4 - 6 = 16 - 4 - 6 = 6
Input 5 => 5^2 - 5 - 6 = 25 - 5 - 6 = 14

Solution set { -6, 0, 6, 14}
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Nisha and Lee Nguyen are purchasing a new home with monthly mortgage payments of $740.16. Their annual property taxes are estima
Setler79 [48]

Answer:

6787.8

explanation:

740.16 + 3047.16 + 2149.76 + 850.72 = 6787.8

i dont actually know if this is it so sorry if not

5 0
2 years ago
PLEASE HELP!
rusak2 [61]
A.) 0.35x + 42 ≤ 70

She wants the truck for one day, which will cost $45. We don't know how far the truck is traveling so that is the variable. She cannot spend more than $70, since that is her budget.

b.) Solve for x using the above equation:

0.35x + 42 ≤ 70
0.35x ≤ 28
x ≤ 80

Judy can drive 80 miles
4 0
3 years ago
Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

 Rewriting we have:

 AVR = \frac{115+5}{10+2}

 Simplifying the expression we have:

 AVR = \frac{120}{12}

 AVR = 10

 Answer:

 the average rate of change of the function defined by the table is:

 AVR = 10

6 0
3 years ago
#40 please! Thank you.
lisov135 [29]
Well he and the cart together weigh: 210+95=305.
The weight left for boxes is: 4,000-305=3,695.
Total weight of boxes is: 50·275=13,750.
Divide the weight of boxes by how much is left for the elevator: 13,750/3,695=3.72
Since 3.72 is more than 3 he would have to make 4 trips to safely do so :)
5 0
3 years ago
Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. He is trying to get to the point (5,7)
PSYCHO15rus [73]
<span>This is a very nice counting question. Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7). Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7). Hope this helps! :)</span>
4 0
3 years ago
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