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skad [1K]
3 years ago
12

After 5 months, the number of subscribers to a newspaper was 5,730. After 7 months, the number of subscribers to the newspaper w

as 6,022. Which equation models the number of newspaper subscribers y after x months?
Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0
(5,5730) (7,6022)
slope = (6022 - 5730) / (7 - 5) = 292/2 = 146

y = mx + b
slope(m) = 146
(5,5730)...x = 5 and y = 5730
sub and find b, the y int
5730 = 146(5) + b
5730 = 730 + b
5730 - 730 = b
5000 = b

so ur equation is : y = 146x + 5000 <==

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Complete the square:

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(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\&#10;(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}

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Nady [450]
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4 0
2 years ago
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2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H+, measured in moles/liter) of the
nataly862011 [7]

Given the equation:

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You know that a lab technician finds that a sample of fluid has this pH:

pH=4.5

Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:

1. Substitute the pH given in the exercise into the equation:

4.5=-log(H^+)

Multiply both sides by -1:

-4.5=\log (H^+)

2. Solve for:

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Remember that, by definition:

\log _b\mleft(c\mright)=a\Rightarrow b^a=c

In this case, you can identify that:

\begin{gathered} a=-4.5 \\ b=10 \\ c=H^+ \end{gathered}

Hence, substituting values and simplifying, you get:

\begin{gathered} b^a=c \\ 10^{-4.5}=H^+ \\ H^+=0.00003162278\text{ }\frac{moles}{liter} \end{gathered}

Therefore, the answer is:

H^+=0.00003162278\text{ }\frac{moles}{liter}

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1 year ago
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