Mikey solved the inequality problem below incorrectly. Explain her error and redo the problem showing the correct answer. Original problem: -4x+8<32

Mikey’s math work: -4x+8-8<32-8
-4x÷-4<24÷-4
x<-6

x>-6

Step-by-step explanation:

-4x+8<32

-4x+8-8<32-8

-4x÷-4<24÷-4

x>-6

when you divide and there is an inequality you flip the inequality sign.

mikey was incorrect

Step-by-step explanation:

i think it is x<24

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.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: