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ira [324]
3 years ago
9

Simplify the following polynomial expression. (5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)

Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer:

5x^4 - 37x^3 - 6x^2 + 41x - 6

Step-by-step explanation:

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How would you factor a quadratic expression like 9x^2-4
Ganezh [65]

Hello, we need to see it as a difference of two squares as we know that for all a and b real numbers

a^2-b^2=(a-b)(a+b)

So, here

9x^2-4=(3x)^2-2^2=(3x-2)(3x+2)

Voila !

Thank you

7 0
3 years ago
What is 7 times as much as the sum of 1/3 + 4/5
riadik2000 [5.3K]
Lets write the problem info into an equation and solve step by step:
7(1/3 + 4/5)
the minimum common multiple of 3 and 5 is 15, so we multiply and divide the fractions by a proper number to convert them to be divided by 15 so is easier to add them:
<span>(1/3)(5/5) = (1*5)/(3*5) = 5/15
(4/5)(3/3) = (4*3)/(5*3) = 12/15
</span>so we substitute in the original equation:
7(1/3 + 4/5<span>)
</span>= 7(5/15 + 12/15<span>)
= 7(17/15)
= (7*17)/15
= 119/15</span>
8 0
2 years ago
1. What is the solution of the equation<br> 3y-5y+10=36?<br> 1. -13<br> 2. 2<br> 3. 4.5<br> 4. 13
VikaD [51]

Answer:

1: -13

Step-by-step explanation:

First, simplify the equation to -2y+10=36

Subtract 10 from both sides

-2y=26

Divide negative 2 from both sides

y=-13

5 0
2 years ago
Read 2 more answers
I have a series of questions
alexgriva [62]

9514 1404 393

Answer:

  0.4, 0.004, 0.004

Step-by-step explanation:

The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.

4/10 = 0.4   ⇒   10 times 0.4 = 4

0.04 and .04 are exactly the same value, so the last two on your list are the same:

0.04/10 = 0.004   ⇒   10 times .004 = 0.04

3 0
3 years ago
5. Walker is reading a book that is 792 pages. He reads
masya89 [10]
<h2>Forming Equations from Word Problems</h2>

To form equations from word problems, we can derive mathematical operations as well as variables from the given information.

In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.

<h2>Solving the Question</h2>

<em>Let r represent the pages left to read.</em>

<em />

792 pages in total

  • ⇒ <em>r</em> = 792

Walker reads 15 pages a day during the week and 25 pages a day during the weekend.

  • There are 5 weekdays, and he reads 15 pages each of those days. ⇒ <em>r</em> = 792 - 5×15
  • There are 2 weekend days, and he reads 25 pages each of those days.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)

5 weeks have passed

  • Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)×5

<h2>Answer</h2>

<em>r</em> = 792 - (5×15 + 2×25)×5

4 0
1 year ago
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