Trisha needs to make at least 50 gift bags for an event. each gift bag will contain at least 1 thumb drive or 1 key chain. she wants to use at least 5 times as many key chains as thumb drives. she has 25 thumb drives and 200 key chains. let x represent the number of key chains. let y represent the number of thumb drives. which inequalities are among the constraints for this situation? select each correct answer. a. x+y≥50 b. x≤5y c. x≥5y d. x+5y≤50

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

d 600 because 15*10*2=300

300+300=600

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)