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maria [59]
2 years ago
5

I need help with this problem! Please show work so i can get credit for my work

Mathematics
1 answer:
ser-zykov [4K]2 years ago
4 0

Answer:

x= -43 or x=57

Step-by-step explanation:

Apply absolute value rule: If |u|=a, a>0 then u=a or u=-a

So applying that to our equation:

|x-7|=50, x-7 can either equal +50 or -50 so we solve for both

x-7= -50 ---> x= -43

or

x-7=50 ---> x=57

I hope this helps!

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Which linear inequality is represented by the graph? (A)y ≤1/3 x − 1 (B)y ≥ x − 1 (C)y < 3x − 1 (D)y > 3x − 1
lubasha [3.4K]

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

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

Given:

Explanation:

The line intersects y-axis at \left( {0, - 1} \right). Therefore, the y-intercept is -1.

The line passes through the points \left( {0, - 1} \right) and \left( {3,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&= \frac{{0- \left( {- 1} \right)}}{{3 - 0}}\\&= \frac{1}{3}\\\end{aligned}

Substitute \dfrac{1}{3} for m, 3 for x and 0 for y in equation y = mx + c to obtain the value of c.

\begin{aligned}0& \frac{1}{3} \cdot 3 + c\\- 1&=c\\\end{aligned}

To check whether the equation includes origin substitute 0 for x and 0 for y in equation y \geqslant \dfrac{1}{3}x - 1.

\begin{aligned}0&\geqslant \frac{1}{3} \times 0 - 1 \\0&\geqslant - 1\\\end{gathered}

The statement is true. The equation contains origin.

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

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Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum
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Alright, lets get started.

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43046721 is square of its previous number 6561, means

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Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

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Their sum is 22  means,  x+y = 22 .......equation (2)

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1 could be written as 1

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So, next number will be 12.   : Answer



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So, between 23 plants, the distance is = 3 * (23-1) = 3 * 22 = 66

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