Answer:
1/8
Step-by-step explanation:
Expand the equation:
6r-3=-2r-2
Add 3 to both sides:
6r-3+3=-2r-2+3
Then Simplify:
6r=-2r+1
Add 2r to both sides:
6r+2r=-2r+1+2r
Simplify again:
8r=1
Divide both sides by 8:
8r/8 = 1/8
Simplify once more:
<u>r = 1/8</u>
Answer:
Step-by-step explanation:
This is a good example of permutations. For the first slot on his shelf, Dylan has 7 trophies to choose from. Then 6, 5, and so on. Since he is only fitting 4 trophies on his shelf, we only continue until we have the slots filled. Thus, we have to do so.
*Note: We do not divide by because in this case, order matters. A different order of the same four books still produces different arrangements, so the order matters.
Answer:
All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.
In mathematics, an exponential function is a function of the form in which the input variable x occurs as an exponent. A function of the form, where is a constant, is also considered an exponential function and can be rewritten as, with. As functions of a real variable, exponential functions are uniquely characterized by the fact that the growth rate of such a function is directly proportional to the value of the function. The constant of proportionality of this relationship is the natural logarithm of the base,
Answer:
Yes, they are equivalent
Step-by-step explanation:
18 = 3x - 6 + x
+6 +6
24 = 3x + x
24 = 4x
24/4 = 4x/4
6 = x
18 = 4x - 6
+6 +6
24 = 4x
24/4 = 4x/4
6 = x
Both equations are equal to x = 6, therefore they are equivalent