Step-by-step explanation:
if that's x^2+25
they can be factored to x+5
because the factor of x^2 is x cause x multiplied by x is x^2 and the factor of 25 is 5 cause 5×5 is 25
Answer:
We can determine which image is correct by the second equation, only in one of the images the line is correct.
X-y=1
So x = 1+ y
If y is one x should be two.
Only in one image that is true, the third image.
Answer:
-16 and -14
14 and 16
Step-by-step explanation:
Let's say x is the smaller integer and x+2 is the larger integer. Their product is 224.
x (x + 2) = 224
x² + 2x = 224
Complete the square and solve for x.
x² + 2x + 1 = 225
(x + 1)² = 225
x + 1 = ±15
x = -16 or 14
x + 2 = -14 or 16
So the integers are either -16 and -14, or 14 and 16.
<h3>
Answer: 17</h3>
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Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
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To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
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Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
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You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= x² - 2x + 6x + 4
= x² + 4x + 4
Equating to zero
x² + 4x + 4 = 0
(x + 2)² = 0
x + 2 = 0
x = - 2
