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nikklg [1K]
3 years ago
10

What is the answer to 7 y = 84

Mathematics
1 answer:
Furkat [3]3 years ago
4 0
7y = 84
y = 84 /7
= 12

So, y =12
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Describe and correct the error in solving the following rational equation , plz help!!!!!
aleksley [76]

First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.

I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.

Correction:

\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2

as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.

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2 years ago
An executive for the movie production company wants to create a function that models this data. . Create a function that can be
stich3 [128]

Functions can be modeled by equations, tables and graphs

  • The equation that models the function is y = \frac 14x  +1
  • The domain of the function is the set of whole numbers
  • The company should expect 4 box office gross in week 10

<h3>How to determine the function</h3>

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

m = \frac{y_2 - y_1}{x_2 -x_1}

Substitute known values

m = \frac{2 - 1}{4 - 0}

m = \frac{1}{4}

The equation is then calculated as:

y = m(x -x_1) +y_1

This gives

y = \frac 14(x -0) +1

y = \frac 14x  +1

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

y = \frac 14 * 10 +1

y = 3.5

Approximate

y = 4

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

brainly.com/question/15602982

5 0
2 years ago
A projectile fired at 5 m/s from a gun. If the horizontal component of the initial velocity is equal to 4 m/s. What is the value
svlad2 [7]

Answer:

the  \: value \:  of  \: the \:  vertical  \: component \to : \\  (v_v) = 3m {s}^{ - 1}  \\

Step-by-step explanation:

let \: the \: velocity \: be \to \: v \\let \: the \: horizontal \: component \: be \to \: v_h \\ let \: the \: vertical \: component \: be \to \: v_v \\ applying \: the \: pythagorean \: rule \: of \: vectors \to :  \\  {v}^{2}  =  {v_v}^{2}  +  {v_h}^{2}  \\  {v_v}^{2}  =  {v}^{2}  - {v_h}^{2}  \\ {v_v}^{2} = {5}^{2}  - {4}^{2}  \\ v_v =  \sqrt{(25 - 16)}  \\ v_v =  \sqrt{9}  \\ \boxed{ v_v = 3 {ms}^{ - 1} }

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3 years ago
What is -35 divided by -7 as a fraction
MAXImum [283]
5/1 is the answer................................
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