what is 3x + 7 > -5

x > -4

Step-by-step explanation:

Isolate the variable, x. Treat the greater than sign like a equal sign, in that what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 7 from both sides:

3x + 7 (-7) > -5 (-7)

3x > - 5 - 7

3x > -12

Next, isolate the variable, x, by dividing 3 from both sides:

(3x)/3 > (-12)/3

x > (-12)/3

x > -4

x > -4 is your answer.

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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.

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~