Given:

Simplify in the from of numerators and denominators.

solve the inequality is:
First add the 8 to both sides, canceling out the 8 in the right and adding it to the 19 on the left, making it 27. Multiplying undoes division so, After that, multiply by three on both sides, canceling out the three on the right and multiply 27 by 3, making it 81.
9514 1404 393
Answer:
a. m = 2; y intercept = (0, 4); y = 2 x + 4
Step-by-step explanation:
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (18 -4)/(7 -0) = 14/7
m = 2
The y-intercept is the first given point: (0, 4).
The equation for the line in slope-intercept form is
y = mx + b
Here, we have m=2 and b=4, so the equation is ...
y = 2x +4
Answer:
n = -3
Step-by-step explanation:
Let the number be n. Then (2/3)n-4 = 2n.
Solve for n. To accomplish this, start by mult. both sides by 3, to remove the fractional coefficient: 2n - 12 = 6 n, or -12 = 4n. then n = -3 (answer)
Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what
is.
To find it, you would take the reciprocal of the x amount. So
becomes
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase
to
, you would have to multiply a with
two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease
to
, you would have to divide
by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times:
means that you are dividing 1 by a 3 times.
Hope this helps.