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2 years ago

Which expression is equivilent to 9x-3y-5x+7y+x+y. a=5x2+ 4y2. b= 10xy. c= 5x+5y. d= 4x +4y

Mathematics

2 answers:

Stels [109]2 years ago

7 0

Answer:

5 (y + x) or c: 5x+y

Step-by-step explanation:

Simplify the following:

9 x - 3 y - 5 x + 7 y + x + y

Grouping like terms, 9 x - 3 y - 5 x + 7 y + x + y = (-3 y + 7 y + y) + (9 x - 5 x + x):

(-3 y + 7 y + y) + (9 x - 5 x + x)

-3 y + 7 y + y = 5 y:

5 y + (9 x - 5 x + x)

9 x - 5 x + x = 5 x:

5 y + 5 x

Factor 5 out of 5 y + 5 x:

Answer: 5 (y + x)

slava [35]2 years ago

7 0

The answer is the third one

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12x15y=4140; x+y= ? solve.

Semenov [28]

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140 .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300 ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

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Which equation could represent "the total cost of popcorn at the movie that sells for $2.50 each if p packages of popcorn are pu

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<img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%20%3D%20ln%205" id="TexFormula1" title="e^{2x} = ln 5" alt="e^{2x} = ln 5" align=

KiRa [710]

$e ^{2x} = ln5$

Solve for the real domain

$e ^{2x} = ln(5)$

if $f(x) =g(x),$ then $ln(f(x))= ln(g(x))$

$ln(e ^{2x} ) = ln(ln(5))$

Solve : $ln(e ^{2x} ) = ln(ln(5))$

use the logarithmic definition :

$ln(e^{f(x)} ) = f(x)$

$ln(e^{2x} ) = 2x$

$2x=ln(ln(5))$

Divide both sides by 2 :

$\frac{2x}{2} = \frac{ln(ln(5))}{2}$

$x= \frac{ln(ln(5))}{2}$

hope this helps!

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