please need this assap 1 to 20

QUESTION 1 Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. 4 -X X-4 QUESTION 2 Multiply. Simplify and leave the numerator and denominator in your answer in factored form. 3.X X - 15x - 15QUESTION 3 Perform the indicated operations and simplify the result. Leave the numerator and denominator in your answer in factored form. 76 1 - - 3 + QUESTION 4 Solve the problem In the following formula, y is the minimum number of hours of studying required to attain a test score of x; 0.34x 100.5 - How many hours of study are needed to score 90? Round your answer to the nearest hundredth, if necessaryQUESTION 5 Write the quotient in the standard form a + bi. 9 3-1 QUESTION 6 Find the discriminant and determine the number and type of roots of each equation x- - 12x +36=0QUESTION 7 Solve the Equation x- - 12r + 39=0 O 1. (-5. 4) 0 2 (-7. 8) 0 3. (8, -4) 4. (6, 5) QUESTION 8 Determine the constant term that must be added to the expression to make it a perfect square 1 69 12. 39 3. 49 14.59QUESTION 9 Solve the equation by completing the square x -+ 12x + 19=0 0 1-6 - 17 -6+ / 17} 9 {-6 - 15 -6+/ 15) -8 -19 - 8+ 19 QUESTION 10 A rectangular garden has dimensions of 17 feet by 11 feet. A gravel path of consistent width is to be built around the garden. How wide can the path be if there is enough gravel for 380 square feet?QUESTION 14 Willie invests money at 7.5%. He also invests $4,000 less than this amount at 6.5%. His total annual income from the interest of these two investments is $1,000. How much money is invested at each rate? $9.000 at 7 5% $3,000 at 6.5% O $5.000 at 7.5% $9.000 at 6.5% $7,000 at 7.5% $4,000 at 6.5% $9.000 at 7.5% $5.000 at 6.5% QUESTION 15 Identify whether or not the following equation represents a function 1=4- 5y 3 Function = Agree Not a Function = Disagree OfAgreeQUESTION 14 Willie invests money at 7.5%. He also invests $4,000 less than this amount at 6.5%. His total annual income from the interest of these two investments is $1,000. How much money is invested at each rate? $9.000 at 7 5% $3,000 at 6.5% O $5.000 at 7.5% $9.000 at 6.5% $7,000 at 7.5% $4,000 at 6.5% $9.000 at 7.5% $5.000 at 6.5% QUESTION 15 Identify whether or not the following equation represents a function 1=4- 5y 3 Function = Agree Not a Function = Disagree OfAgreeQUESTION 16 Sum of two numbers is 67, and their difference is 29, Find the numbers 1. 48 and 19 2. 44 and 12 3. 48 and 17 4 40 and 20 QUESTION 17 Multiply 81 (3x- + 5x - 7) x (4x8 + 60 - 1)QUESTION 18 A ladder is leannig againts a wall. The distance of the bottom of the ladder from the wall is 4 feet less than the length of the ladder. The top of the ladder from the floor is 2 feet less than the length of the ladder. Determine the length of the ladder, 12 feet 10 feet 20 feet 8 feet QUESTION 19 Identify the missing nominator 15 7.x 14x- - 7.x O 2(15x - 1) 0 5( 4x-1) 15( 21- 1) 15( 3r- 1)QUESTION 20 The percent markup on the cost proce of a dress is the same as the cost proce in dollars. If the dress is sold for $24, what was the cost price of the dress?QUESTION 11 A rock falls from a tower that is 160 feet high. As it is falling, its height is given by the formula h = 160- 161- How many seconds will it take for the rock to hit the ground (h=0)? Round your answer to the nearest tenth, if necessary QUESTION 12 Mary lives on a corner lot. The neighborhood children have been cutting diagonally across her lawn instead of walking around the yard. If the diagonal distance across the lawn is 30 feet and the longer part of the sidewalk is twice the shorter length, how many feet are the children saving by cutting across the lawn? Round to the nearest foot if necessaryQUESTION 13 Solve the equation by multiplying both sides by the LCD 15 {-4 6} (-2 4)