Answer: The number 0
x^2 + 8x - 4 = x^2 + 8
8x - 4 = 8 ... subtract x^2 from both sides
8x = 12 .... add 4 to both sides
x = 12/8 .... divide both sides by 8
x = 3/2 ... reduce
x = 1.5 .... convert to decimal form
Now plug x = 1.5 into the expression 2x-3 and simplify
2x-3 = 2*1.5-3 = 3-3 = 0 which is the answer
Answer:
There will be no pieces of paper left over. Each student will receive 15 pieces of paper.
Step-by-step explanation:
If you divide the 345 pieces of paper between the 23 classmates, you will end up with 15. There is no remainder or decimal, just 15, a whole number. That means that there will be no pieces of paper left over.
Cosine law
a^2 = b^2 + c^2 - 2(b)(c)cosA
a^2 = 2^2 + 4^2 - 2(2)(4)cos78
a = 4.08
a = 4.1
Answer:
C. -4n + 8
Step-by-step explanation:
Try the formulas and see which works.
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The common difference is -4, so the coefficient of n in the explicit formula is -4. Every term is divisible by 4, so there won't be 3 anywhere in the formula.
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-4·1 +8 = 4
-4·2 +8 = 0
-4·3 +8 = -4
-4·4 +8 = -8
The formula -4n+8 reproduces the sequence exactly.
Answer:
x=-1
Step-by-step explanation:
2x+6=3-x
Step 1: Simplify both sides of the equation.
2x+6=3−x
2x+6=3+(−x)
2x+6=−x+3
Step 2: Add x to both sides.
2x+6+x=−x+3+x
3x+6=3
Step 3: Subtract 6 from both sides.
3x+6−6=3−6
3x=−3
Step 4: Divide both sides by 3.
3x/3=−3/3
x=−1
Answer:
x=−1
