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cupoosta [38]
3 years ago
8

If z=3 and z*y=12 what does y+5 equal

Mathematics
1 answer:
mart [117]3 years ago
5 0
Z = 3                                              (This equation is a given)

z(y) = 12                                       ( This equation is also given) 

3y = 12                                         (as z = 3, plug 3 into z)

3y/3 = 12/3                                   (isolate the y by dividing 3 to both sides) 
                                                  * you divide 3 to both sides because of the equal                                                             sign. What you do to one side you do to the                                                                    other
y = 4                                             (answer for y)

y + 5                                             (what you are solving for)

(4) + 5 = 9                                    (As y = 4, plug in 4 for y in this equation)

y + 5 = 9                                       (4 + 5 =  9, or addition property)

9 is your answer           

hope this helps
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What is the quotient (3x^2 + 4x-15) divided by (x+3)
MrMuchimi

\frac{3x3 - 4x2 - 3x - 15}{x}
Step  1  :

simplify
\frac{15}{x}
Equation at the end of step  1  :

15 (((3 • (x2)) - 4x) - ——) - 3 x

Step  2  :

Equation at the end of step  2  :

15 ((3x2 - 4x) - ——) - 3 x

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole 

Rewrite the whole as a fraction using  x  as the denominator :

3x2 - 4x (3x2 - 4x) • x 3x2 - 4x = ———————— = —————————————— 1 x

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole 

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   3x2 - 4x  =   x • (3x - 4) 

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (3x-4) • x - (15) 3x3 - 4x2 - 15 ————————————————————— = —————————————— x x

Equation at the end of step  4  :

(3x3 - 4x2 - 15) ———————————————— - 3 x

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction 

Rewrite the whole as a fraction using  x  as the denominator :

3 3 • x 3 = — = ————— 1 x


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3 years ago
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