Hello from MrBillDoesMath!
Answer:
x = 19
Discussion:
Both sides are logarithms to the same base, namely 20
, which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve
4x - 10 = 3x + 9 => subtract 3x from both sides
4x-3x - 10 = 9 => add 10 to both sides
x = 9 + 10 = 19
Thank you,
MrB
Answer:
B) 5 x 4 x 3 x 2 x 1
Step-by-step explanation:
When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:
5! = 5 * 4 * 3 * 2 * 1
For example, take factoral 10: 10!
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
In this case, you are multiplying 5!.
5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120
5! = 120
Answer:
-18
Step-by-step explanation:
9514 1404 393
Answer:
B. The graph flips over the x-axis
Step-by-step explanation:
When you plot the coordinate pair (x, y), you plot the point 'y' units above the x-axis. If you change the sign of that (multiply the function by -1), then the point becomes (x, -y), and is plotted 'y' units below the x-axis.
The graph flips over the x-axis.
__
Attached is an example of a function with its original graph (red) and the graph after being multiplied by -1 (blue). The blue graph is a reflection of the red graph across the x-axis.
Answer:
<em>See below</em>
Step-by-step explanation:
In this example we are to consider the equation 2x - 5 = 4x + 12, and are asked to solve for x. Well let us take the first approach, a mathematical one;
Now consider the explanation, " talking over a phone to a friend. "
First you would subtract 2x on either side of the equation, canceling the 2x on one side, and subtracting 2x from 4x on the other, resulting in the simplified equation - 5 = 2x + 12. Subtracting 12 from either side we cancel the 12 on one side, and subtract - 12 and - 5 on the other. We now get - 17 = 2x. Dividing 2 on either side, x = - 8.5!