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Svetach [21]
3 years ago
13

Which is the minimum value of the function y=x^2+8x+7

Mathematics
2 answers:
anygoal [31]3 years ago
8 0
The minimum value of the function is (-4, -9).
Aneli [31]3 years ago
7 0
You can do this by completing the square.
Y=x^2 + 8x + 7
= (x+4)^2 -16+7
= (x+4)^2 - 9

Minimum value = -9
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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37. an = -2 + (n-1)(-5) an = -2 + (n-1)(5) an = 2
Marina86 [1]
From the 3rd term to the 8th term, we'd need to use the "common difference" or "d", 5 times, namely add it that many times, to get the 8th term, thus

\bf \begin{array}{ll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_3&-12\\
a_4&-12+d\\
a_5&-12+d+d\\
a_6&-12+d+d+d\\
a_7&-12+d+d+d+d\\
a_8&-12+d+d+d+d+d\\
&-12+5d\\
&-37
\end{array}\implies -12+5d=-37
\\\\\\
5d=-25\implies d=\cfrac{-25}{5}\implies d=-5

we know the 3rd term is -12, so the first one has to be -12+5+5, undoing the -5's, so the first term is -2.
 
\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=-2\\
d=-5
\end{cases}
\\\\\\
a_n=-2+(n-1)(-5)
4 0
4 years ago
The big desk in your boss's office is 75 inches long. How long is that in feet?
Korvikt [17]
6 ft 3 inches
1 inch = 0.0833 ft.
3 0
3 years ago
What is the value for k?<br><br> 1/2k + 6 = 4k - 8<br><br> a.) -4<br> b.) -3<br> c.) 3<br> d.) 4
inessss [21]
I hope this helps you

5 0
3 years ago
Read 2 more answers
50% to 36.75 what is the original price
svetoff [14.1K]

Answer: 73.50

Step-by-step explanation:

I am assuming that the new price is 36.75

50% is 1/2

36.75·2=original price

original price=73.50

8 0
3 years ago
If sin2M = COS2N and m N= 30°, what is the measure of _M?<br> 150°<br> 90°<br> 60°<br> 30°
telo118 [61]

Answer:

below

Step-by-step explanation:

n = 30

cos 2*30 = cos 60 = 1/2

sin 30 = 1/2

2m = 30

m=15

8 0
3 years ago
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