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Sladkaya [172]
3 years ago
6

How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?​

Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.

Step-by-step explanation:

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What is the linear function equation represented by the graph?
victus00 [196]

The linear function equation is \boxed{y = \frac{1}{3}x - 4}.

Further explanation:

The formula for slope of line can be expressed as,

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

Explanation:

The line intersect \text{y}-axis at \left( {0,- 4} \right).

Therefore, the \text{y}-intercept is -4.

The line passes through the points \left( {0,- 4} \right) and \left( {3,- 3} \right).

The slope can be obtained as follows,

\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}

The slope of the line is \dfrac{1}{3}.

The slope intercept form of the linear equation is given as follows.

\boxed{y = mx + k}

Substitute \dfrac{1}{3} for m and -4 for k in equation y = mx + k.

y = \dfrac{1}{3}x - 4

The linear function equation is \boxed{y = \frac{1}{3}x - 4}.

Learn more:

  1. If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
  2. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

3 0
3 years ago
Read 2 more answers
How do I find the derivative of the problem:<br> f(x) = x^2 + x at x= -1
Bond [772]
The derivate is. f'(x)=2x+1 .then f'(-1)=-2+1=-1
3 0
3 years ago
Mitt ate 24 peanuts. this represents 75% of the bag of peanuts. How many peanuts were originally in the bag?
inessss [21]
Part/whole = percent/100
REMEBER THIS: 100 WILL ALWAYS BE THE TOTAL OF THE PERCENT!!!!!!!
So you multiply 24 ˣ 100 =2400/75 = 32
8 0
3 years ago
Read 2 more answers
The sum of two consecutive even page numbers in the book is 410 what are the page numbers
BARSIC [14]

。☆✼★ ━━━━━━━━━━━━━━  ☾  ━━━━━━━━━━━━━━ ★✼☆。

- The first page can be represented by 2n

(Note : We know for certain it is an even number as anything multiplied by 2 is even)

The second page can be represented by 2n + 2

Let's form an equation:

2n + 2n + 2 = 410

Simplify by collecting like terms :

4n + 2 = 410

Subtract 2 from both sides :

4n = 408

Divide both sides by 4:

n = 102

Substitute this value into our earlier expressions

2(102) = 204

2(102) + 2 = 206

The page numbers are 204 and 206

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3 0
3 years ago
Can you Multiply factors with decimals? How do you know where to put your decimal point in your answer?
prisoha [69]
Yes <span>Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer. When you multiply decimals, the decimal point is placed in the </span>product<span> so that the number of decimal places in the product is the sum of the decimal places in the </span>factors<span>.</span>
5 0
3 years ago
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