Step-by-step explanation:
g*f(x)=g(x+4)=(x+4)³
g*f(-3)=(-3+4)³
= 1³=1
Simplifying
j = (2j + 3)
Reorder the terms:
j = (3 + 2j)
Remove parenthesis around (3 + 2j)
j = 3 + 2j
Solving
j = 3 + 2j
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-2j' to each side of the equation.
j + -2j = 3 + 2j + -2j
Combine like terms: j + -2j = -1j
-1j = 3 + 2j + -2j
Combine like terms: 2j + -2j = 0
-1j = 3 + 0
-1j = 3
Divide each side by '-1'.
j = -3
Simplifying
j = -3
Answer:
# red marbles = 25
# blue marbles = 7
Step-by-step explanation:
r + b = 32
r = 4 + 3b
substitute '4 + 3b' for 'r' in the 1st equation
4 + 3b + b = 32
4 + 4b = 32
4b = 28
b = 7
red = 32 - 7
r = 25
<h3>The given expression as single exponent is:</h3>
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
In exponents,
When the base is same, exponents can be added
Which means,
Therefore,
Thus the given expression as single exponent is:
Answer:
3/6
Step-by-step explanation:
If the probability that it will happen is 3/6 or 1/2 the probability is the opposite. which is also 3/6 or 1/2.
