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kakasveta [241]
3 years ago
10

What is the x-intercept of y=40x+70

Mathematics
1 answer:
AysviL [449]3 years ago
8 0
At th x-intercept y=o

∴40x + 70 = 0
  40x = -70
  x = -70/40
  x = -1.75

x intercepr = (-1.75,0)
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Put the equation in standard form with a positive x coefficient. 2y+5=-4(x+2)
umka21 [38]

The standard form of equation is: 4x+2y = -13

Step-by-step explanation:

the standard form of a linear equation in two variables is given by:

ax+by = c

Given equation is:

2y+5=-4(x+2)

Distributing -4 into the round bracket

2y+5 = -4x-8

Adding 4x on both sides

4x+2y+5 = -4x-8+4x\\4x+2y+5 = -8

subtracting 5 from both sides

4x+2y+5-5 = -8-5\\4x+2y = -13

The standard form of equation is: 4x+2y = -13

Keywords: Linear equation, variables

Learn more about linear equations at:

  • brainly.com/question/6112033
  • brainly.com/question/6108628

#LearnwithBrainly

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Find the sum of the geometric series 512+256+ . . .+4
mario62 [17]

\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}

\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}

so is the 8th term, then, let's find the Sum of the first 8 terms.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}

\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}}  \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}}  \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020

7 0
4 years ago
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