Write the following numbers used in these statements in scientific notation. (note: some of these numbers have been rounded.)
the acceleration due to gravity on the sun is 900 ft/s^2

9  * 10^2 ft/s^2.

Step-by-step explanation:

900 = 9  * 10^2 ft/s^2.

There are 2 digits after the 9 so the exponent of 10 is 2.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions