The contrapositive switches the hypothesis and the conclusion and negates both in this form:
Statement: If A, then B
Contrapositive: If not B, then not A.
In this case, the statement is:
<span> "If the lights are off, there is no one inside."
Contrapositive:
If there is someone inside, the lights are on. </span>
Answer:
The number of quarters Josie has in her collection of 92 coins 28 quarters
Step-by-step explanation:
The given information are
The total number of coins Josie has = 92
Let the number of quarters she has = x
Therefore, 92 = 8 + 3×x
8 + 3×x = 92
3×x = 92 - 8 = 84
3×x = 84
x = 84/3 = 28
x = 28
The number of quarters Josie has in her collection of 92 coins = 28 quarters.
Answer:
Correct rate of change is -5; correct initial value is 3.
Step-by-step explanation:
The rate of change is the coefficient of the x term, which here is -5. So Bryan has the rate of change wrong.
The initial value of the function is found by letting x = 0. Here, we get
y = -5(0) + 3, or y = b = 3. The initial value is 3, not -5.
Answer:
-2
Step-by-step explanation:
7x-21-10x+20=5
7x-10x-1=5
-3x=5+1
x=-6/3
x=-2
