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vekshin1
3 years ago
11

The sum of 6 consecutive integers is 204. what is the fourth number in this sequence?

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Let x by the smallest of the 6 integers. Then

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=204

\implies6x+15=204

\implies6x=189

But 189 is odd, so it cannot be divisible by 6, which means x is not an integer...

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If - 1 is a zero then
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4 {x}^{2}  + 3x - 10
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We can rewrite the polynomial as
f(x) = (x  + 1)(4 {x}^{2}  + 3x - 10)

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f(x) = (x + 1)(x  +  2)(4x - 5)

7 0
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3 years ago
What’s the equation for the order pairs (1,-5) and (-2,5)
liq [111]

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})\qquad
(\stackrel{x_2}{-2}~,~\stackrel{y_2}{5})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-5)}{-2-1}\implies \cfrac{5+5}{-2-1}\implies \cfrac{10}{-3}


\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-(-5)=-\cfrac{10}{3}(x-1)\implies y+5=-\cfrac{10}{3}x+\cfrac{10}{3}
\\\\\\
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6 0
3 years ago
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nadya68 [22]

Answer: Charlotte's 15 and Edgar's 7

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8 0
3 years ago
Line GH contains points G(–2, 6) and H(5, –3). Given the points, what is the slope of the line ?.
IRINA_888 [86]
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6 0
3 years ago
Read 2 more answers
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