Which function allows you to bypass the automated #N/A, #VALUE!, #REF!, or #DIV/0! message in a cell?
Your new car gets 36 miles to the gallon on average. Gas is now $3.50 a gallon. If you have $25.90 in your budget to spend on gas this week, how many miles could you travel? A. 125 miles B. 75.0 miles C. 266.4 miles D. 302.5 miles
To solve this question you would first divide the amount of money you have available by the amount of money it takes to buy a gallon of gas, $25.90/$3.50=7.4 gallons. Then you multiply how many gallons you can buy by the number of miles you can drive with a gallon of gas, $7.4 gallons*36 miles=266.4 miles. The final answer would be C, 266.4 miles.
Factor the polynomial 4x^2+12x+5.
To factor this polynomial you would first see if there was a common factor between all three coefficients. Since no common factor exists, you would then proceed to draw two sets of parenthesis. Begin the factoring process by multiplying the first and last coefficient to get 60. Then you divide 60 by the middle coefficient, 12, to get 5. Next, create a list of all possible factors of five, in this case only 1 x 5. This gives you the second number in each parenthesis. Next, you find the factors of the first coefficient, which would be 1 x 4 and 2 x 2. To ensure you find the correct first half of the parenthesis you must use a bit of guess-and-check. Plug in both sets of factors so you would have both (1x 1)(4x 5) and (2x 1)(2x 5). Multiply both parentheses for only the inside and outside pairs to give you 4x, 5x and 2x, 10x and you can see that it is only possible to reach the middle number of the polynomial, 12x, with the second pair of numbers. To find our 12x both the 2x and 10x must be positive, and therefore both signs in the parenthesis would be +. The final answer would be (2x+1)(2x+5).