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NeTakaya
1 year ago
12

Determine whether the following has one solution, no solution, or many solutions.3(3 - x) + 5x = 2(x + 2)

Mathematics
1 answer:
Vilka [71]1 year ago
5 0

Given the equation :

3(3-x)+5x=2(x+2)

Solve for x:

\begin{gathered} 3\cdot3-3x+5x=2x+2\cdot2 \\ 9+2x=2x+4 \\ 9-4=2x-2x \\ 5=0 \end{gathered}

The last result means that the given equation has no solution

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Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p
sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>
  • It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format \frac{p}{q}.

In this problem:

  • The leading coefficient is 1, hence it's only factor is q = 1, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.

To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

8 0
3 years ago
If the product ab is 0, then either a or b must be
algol [13]
0 because 0 times anything is 0
8 0
4 years ago
Simplify the Expression:
Mamont248 [21]
Your answer is C, not B.

-3x + 4 + 2x -2 combined like terms.

-1x + 2

-x - 2. Simple Math.
7 0
3 years ago
Please help 70 Brainly points thanks
Cloud [144]

Answer:

9) x=58

10) r=4

11) m=4

12) p=3

13) x=6

14) x=-3

15) s=400

Step-by-step explanation:

9) x+2/5=12

    x5  x5

x+2=60

 -2  -2

x=58

10) 7r + 14 - 3r =30

    -14         -14

<u>7r-3r</u>=16

4r=16

÷4 ÷4

r=4

11) \frac{4}{5}m+2=6

    -2  -2

\frac{4}{5}m=4

÷\frac{4}{5}  ÷\frac{4}{5}

m=4

12) <u>2</u>(5p+9)=48

10p+18=48

     -18  -18

10p=30

÷10  ÷10

p=3

13) <u>5</u>(2x-8)=20

10x-40=20

    +40 +40

10x=60

÷10  ÷10

x=6

14)<u>6</u>(3-2x)=54

18-12x=54

-18       -18

-12x=36

÷-12  ÷-12

x=-3

15) \frac{2s}{5}-\frac{s}{2}=40

x5   x5

2s-\frac{s}{2}=200

    x2 x2

<u>2s-1s</u>=400

1s=400

÷1  ÷1

s=400

6 0
3 years ago
Read 2 more answers
Write the equations included in the same set of related facts as 6x8=48
Reil [10]
6×6=36. also get a calculator
5 0
3 years ago
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