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Jobisdone [24]
3 years ago
13

2(y + 5) = 18 - 12

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

Distributive property

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How many solutions are there to this equation 3x(x-4)+5-x=2x-7
stich3 [128]

Answer:

  2 solutions

Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

  • x = 1
  • x = 4

__

To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

  3x(x -4) +5 -x -(2x -7) = 0

  3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

  3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

  3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.

__

<em>Alternate method</em>

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

  d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

  d = (-15)^2 -4(3)(12) = 225 -144 = 81

This positive value means the equation has 2 real solutions.

4 0
3 years ago
(3.14×10^7)×(1.3×10^−3)÷0.2<br><br> Please answer in scientific notation. Thank you.
frez [133]
When you evaluate the problem you end up with 204100
Scientific Notation: 2.041 x 10^5
8 0
3 years ago
Approximate the square root of 12 to the nearest integer helppppppp!!!!!!!!
oee [108]

Answer:

3

Step-by-step explanation:

Well the square root of 12 is 3.464 and 12 squared is 144, and an intiger is a whole number no decimal or fraction. So round 3.464 to the nearest whole is 3. Hope this helps(:

3 0
3 years ago
Is 1/4 a rational or irrational number
ycow [4]
Hi there!

1/4 is a rational number.
Any number that can be written as a fraction is a rational number.

~ Hope this helps you ~
6 0
3 years ago
Solve right now or no
nalin [4]

Answer:

= − 0 . 8

Step-by-step explanation:

7 0
3 years ago
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