PLEASE HELPS NEED THIS DONE BEFORE 3 O CLOCK 1)Jerome noticed the following house numbers on his street:305, 318, 331, 344The house numbers follow a pattern. Which expression can be used to determine the nthnth house number on his street?A) 292 +13nB) 292nC) 292n + 13D) 13(n + 292)2) A polynomial expression is shown below.(mx+8)(2x−4)The expression is simplified to:−6x2+28x−32-6x2+28x-32What is the value of m?A) 3B) 4C) -3D) -43) What is the domain of the function shown below? (PICTURE AT BOTTOM)A) 2B) −8 ≤ x <3and 4 ≤ x <8C) −8 ≤ x < 8D) −7 ≤ x ≤ 7
Accepted Solution
A:
1) Put n=2 in each of the offered expressions and see which one gives you 318 (the second house number). A) 292 + 13*2 = 318 . . . . a good candidate B) 292*2 = 584 (nope) C) 292*2 + 13 = 597 (nope) D) 13(2 + 292) = 3822 (nope) The appropriate choice is ... A) 292 +13n
2)The squared term in the product is 2mx^2. The squared term in the given expression is -6x^2. Comparing the coefficients, we have 2m = -6 m = -3 The appropriate choice for the value of m is ... C) -3
3) The end point of one segment matches up with the beginning of the next except in the region 3 ≤ x < 4. The appropriate choice is ... B) -8 ≤ x < 3 and 4 ≤ x < 8