Patricia works at a grocery store part time and earns $9 per hour. in addition to working at the grocery store, she tutors middle school students and earns $15 per hour. her grocery store job requires her to work more than twice the number of hours she tutors. if patricia wants to earn more than $500 total from both jobs this week, which inequalities can be used to find the number of hours, g, she should work at the grocery store and the number of hours, t, she should tutor?

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Lines a and b are parallel. what is the value of x? -5 -10 -35 -55

Apiling for a high-rise building is pushed by two bulldozers at exactly the same time. one bulldozer exerts a force of 1250 pounds in a westerly direction. the other bulldozer pushes the piling with a force of 2650 pounds in a northerly direction. what is the direction of the resulting force upon the piling, to the nearest degree? a. 65 n of w b. 25 n of w c. 45 n of w d. 35 n of w