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Elenna [48]
3 years ago
12

Guys what is the definition of consecutive numbers? Anyone know? 20 points for first answer!!

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

They are integers that follow one right after another. For example the set {1,2,3,4,5} represents consecutive numbers. Another example would be {9,10,11,12,13}

In general, if x is some integer, then x+1 is the next integer right after x, and x+2 is right after x+1 and so on. The list is {x, x+1, x+2, x+3, ...} representing any general set of consecutive numbers.

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Multiplying Polynomials Multiple Choice<br> Need to know what goes in blanks and final answer
maksim [4K]

Answer:

6x² - 19x + 10

Step-by-step explanation:

Given

(3x - 2)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x - 5) - 2(2x - 5) ← distribute both parenthesis

= 6x² - 15x - 4x + 10 ← collect like terms

= 6x² - 19x + 10

8 0
2 years ago
Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7
LiRa [457]
<h2>The product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

= \dfrac{7x^2}{(x(x+7)-4(x+7)}

= \dfrac{7x^2}{x^2+7x-4x-28}

= \dfrac{7x^2}{x^2+3x-28}

Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}

5 0
3 years ago
Write the equation of the line in slope-intercept form Slope=5/3 Y-Intercept=4
Eddi Din [679]

Answer:

\sf y=\dfrac{5}{3}x+4

Step-by-step explanation:

<u>Given:</u>

<u />\textsf{slope of $\dfrac{5}{3}$, and a y-intercept of $4$}

⇒ Slope-Intercept Form: y = mx + b

<u>where:</u>

  • m is the slope
  • b is the y-intercept (when x = 0)

Substitute the given values:

\sf\\ \implies y=mx+b\\\\\implies y=\dfrac{5}{3}x+4

Learn more here:

brainly.com/question/27803801

7 0
1 year ago
Read 2 more answers
Question 2 (1 point)
Papessa [141]

Answer:

55.734 mph

Step-by-step explanation:

Let's call the wind speed x and the time of flight t.

Then, we can write the following equation, knowing that the distance is equal speed times time of flight:

910 = (350+x) * t

660 = (350-x) * t

If we isolate t in both equations and compare its value, we have that:

910 / (350+x) = 660 / (350-x)

(350+x)/(350-x) = 910/660

350 + x = 1.3788 * (350-x)

350 + x = 482.58 - 1.3788x

2.3788x = 132.58

x = 55.734 mph

4 0
3 years ago
Find exact volume of a sphere with a radius of 10in
Elodia [21]

To find the volume of a sphere, we can apply the following formula:

(4

/3)πr^3

We know the radius is 10, so we can plug that value in.

(4/3) * pi * 10^3

<h3>V = 4188.79020479in^3</h3>

The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.

3 0
3 years ago
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