Which numbers are solutions to the inequality – 3x-3<6? Select all that apply.
A. -5
B. -4
C. 0
D. 2
E.4

C. 0

D.2

E.4

Step-by-step explanation:

To know which numbers are solutions to the inequality, we will follow the steps below:

-3x -3 < 6

add 3 to both-side of the inequality

-3x -3 + 3 <6+3

-3x < 9

Divide both-side of the inequality by -3

-3x/-3 >9/-3

whenever we are dividing both-side of inequality by a negative number, the inequality sign will change

x > -3

all values of x that are greater than -3 will satisfy the inequality

They are 0, 2 and 4

check the solution:

for x=0

-3x -3 < 6

-3(0) -3 < 6

-3 < 6

for x = 2

-3x -3 < 6

-3(2) -3 < 6

 -6 -3 < 6

   -9< 6

for x = 4

-3x -3 < 6

-3(4)-3 < 6

-12-3 < 6

-15 < 6

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

answer: 7. if the functions had a negative leading coefficient and is of even degree, which statement about the graph is true?

step-by-step explanation: