You can use a number line to add and subtract
Answer:
The answer is option C.
<h3>-6, -5 2/5, -4 1/5</h3>
Step-by-step explanation:
The arithmetic sequence is given by
where n is the number of terms
<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>
n = 1
So we have
<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>
n = 4
<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>
n = 10
Hope this helps you
Answer:
8 hundred dollars
Step-by-step explanation:
The break even value means zero profit or loss over the five years period. So if 2017 profit is x, then we get:
- 2.5 + 1.4 - 3.3 - 1.4 + x = 0
- x - 0.8 = 0
- x = 0.8 thousands of dollars
- x= 800 dollars
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.