Jessica wants to spend less than $50.00 per month on her cell phone bill. Write an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $50.00. Use the symbol for your inequality.

Missing part of question:

Jessica pays a flat rate of $20 for her cell phone and is charged $0.05 for every text she sends.

20.00 + 0.05x < 50.00

Step-by-step explanation:

Given

Base Amount = $20

Rate = $0.05 per text

Budget = Less than $50.00

Required

Write an inequality that represents the scenario

Let x represents the number of texts

To solve this, the base amount when added to the amount paid for x text must be LESS THAN Jessica's budget.

Mathematically, we have:

Base Amount + Rate * x < Budget

Substitute values for Base Amount, Rate and Budget, this gives:.

20.00 + 0.05 * x < 50.00

20.00 + 0.05x < 50.00

Hence, the inequality that represents the scenario is 20.00 + 0.05x < 50.00

Solving further for x, we have:

20.00 + 0.05x < 50.00

Collect Like Terms

0.05x < 50.00 - 20.00

0.05x < 30.00

Solve for x

x < 30.00/0.05

x < 600

This means that she must send less than 600 text messages.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

8

step-by-step explanation: