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3 years ago

-5/4c - 1/4 = -3/4 + 5/8c Please Help

2 answers:

katrin2010 [14]3 years ago

5 0

First, here's a neat trick if you hate dealing with fractions (I just learned this today XD) Find the LCM of the denominators which in this case is 8 then multiply 8/1 by the fractions.
8/1(-5/4c-1/4=-3/4+5/8c)
You would end up with: -10c - 2 = 6 + 5c
Now do -10c - 5c to get -15c
-15c - 2 = 6
-2+2 cancels
2+6=7
-15c=7 divide each side by 15
The answer is c = -7/15

Svetradugi [14.3K]3 years ago

3 0

The answer is -8/15 because you need to cancel out the variables first

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4 years ago

The sum of three consecutive odd integers is 57. what are the three integers

asambeis [7]

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17,19,21

Step-by-step explanation:

let the first odd number be "x"

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6 0

3 years ago

the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

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3 years ago

For the piecewise function, find the values g(-2), g(3), and g(4).

miv72 [106K]

Answer:

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Step-by-step explanation:

g(3)= is not defined ( function is defined for x<3 and x>3 but not x=3)

g(4) = 6-4=2 ( here we chose the function g(x)= 6-x as x> 3)

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3 years ago