Solution:
1. Move all terms to one side
<span>25{x}^{2}+40x+16-28=0</span>
2. Simplify <span>25{x}^{2}+40x+16-28 to <span>25<span>x<span><span>2</span><span></span></span></span>+40x</span></span><span><span>−12</span></span>
<span>25{x}^{2}+40x-12=0</span>
3. Apply the Quadratic Formula<span>x=\frac{-40+20\sqrt{7}}{50},\frac{-40-20\sqrt{7}}{50}
</span>
4. Simplify solutions
<span>x=-\frac{2(2-\sqrt{7})}{5},-\frac{2(2+\sqrt{7})}{5}</span>
Done!
Answer:
2.25 Years
Step-by-step explanation:
We know that a year has 12 months. So, 
. We add this to 2 to get 2.25.
Usually, we use the number line to solve inequalities with the symbols,
<
,
≤
,
>
, and
≥
.(the second and last one was rather hard to find on my keyboard) In order to solve an inequality using the number line, though, just turn
the inequality sign to an equal sign. Then, solve the equation. Next step,
graph the point on the number line (remember to graph as an open circle if the
original inequality was <, or >). The number line should now be
divided into 2 regions, one to the left of the graphed point, and one to the
right of said point.
After that, pick a point in both regions and "test" it, check to see if it satisfies
the inequality when plugged in for the variable. If it does, draw a darker line from the point into that region, with an
arrow at the end. That is the solution to the equation: if one
point in the region satisfies the inequality, the entire region will
satisfy the inequality.
I had to check back in an old textbook to remember all of that. Sorry about the earlier answer. That was rather foolish to do so without actually understanding the question.
Answer:
1.0915 × 10
^9
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
