Answer:
the last option (-5k+4)-8 + 6k
Step-by-step explanation:
-8(-5k+4)+6k
to simplify, begin by distributing the -8 so that parentheses are removed:
=(-8)(-5k) + (-8)(4) + 6k
=40k - 32 + 6k
combine 'like terms':
46k-32
the only answer which simplifies to 46k-32 is the last option:
the only difference between the original problem and the last option is that the -8 value is behind the parentheses instead of in front of it; it simplifies to be 46k-32
The lines whose equations are given intersect at. (4, 0)
Answer: 37, 38, and 39
Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.
3 consecutive integers can be represented as followed.
X ⇒ <em>first integer</em>
X + 1 ⇒ <em>second integer</em>
X + 2 ⇒ <em>third integer</em>
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Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.
X + X + 1 + X + 2 = 114
We can simplify on the left side by combining the X's and the numbers.
3x + 3 = 114
-3 -3 ← <em>subtract 3 from both sides of the equation</em>
3x = 111
÷3 ÷3 ← <em>divide both sides of the equation by 3</em>
<em> </em>X = 37
X ⇒ <em>first integer = 37</em>
X + 1 ⇒ <em>second integer = 38</em>
X + 2 ⇒ <em>third integer = 39</em>
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<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>
This picture shows how to think and answer.
How much value the car depreciates each year.
