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3 years ago

If 2x+ 3y = 55 and 4x= y+ 47, ﬁnd x − y. Can you please explain with some details?

1 answer:

8 0

4x=y+47, we can subtract 47 from both sides to get:
4x-47=y, now we know what y equals in terms of x, so we can substitute that in to the other equation:
2x+3y=55 becomes 2x+3*(4x-47)=55 which becomes:
2x+12x-141=55 which becomes 14x-141=55 and we can add 141 to both sides:
14x=196, divide 14 by both sides, we get x=14, which we can substitute back into the y=equation:
4x-47=y becomes 14*4-47=y which becomes y=9
x=14, y=9
x-y=14-9=5

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Multiply: (4x^2+4x+1)by(2x^2+x-2)<br><br>no spam step by step explanation

klemol [59]

Answer:

the answer is 34

Step-by-step explanation:

first we put the equation together (4x^2+4x+1)by(2x^2+x-2)

so we multiply the formula together so we (4x^2+4x+1) (2x^2+-2) and that's how you get 34

8 0

2 years ago

Mary is making pillows for her Life Skills class. She bought 2.5 yards of fabric. Her total cost was $15. What was the cost per

m_a_m_a [10]

Answer:$6/Yard

Step-by-step explanation:

You make it into an algebraic expression, 2.5x=15.

Then, you divide both sides by 2.5

2.5x=15, 2.5x/2.5 =x, 15/2.5=6.

x=6.

x represents the amount of dollars per yard.

3 0

3 years ago

Read 2 more answers

Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)

Lera25 [3.4K]

Answer:

Step-by-step explanation:

cos is positive at first and fourth quadrant

so, cos (-x) = cos (x)

also, cos(180-x) = -cos x

cos (180+x) = -cos x

cos (-170°) = cos (170°)

cos(170°) = cos (180° - 10°)

= - cos 10°

7 0

3 years ago

Atmospheric pressure decreases by about 11.8% for every 1000 meters you climb. The pressure at sea level is 1013 millibars (a un

erica [24]

At sea level, the pressure is 1013, that's when the altitude is at 0, sea level, let's see

$\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &1013\\
I=\textit{initial amount}\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &0\\
p=period\to &1000
\end{cases}
\\\\\\
1013=I(1-0.118)^{\frac{0}{1000}}\implies 1013=I\cdot 1\implies 1013=I$

so, the inital amount is 1013, when t = 0,

$\bf \textit{Periodic Exponential Decay}\\\\
A=I(1- r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &1013\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &t\\
p=period\to &1000
\end{cases}
\\\\\\
A=1013(1-0.118)^{\frac{t}{1000}}\implies A=1013(0.882)^{\frac{t}{1000}}$

now, to check the atmospheric pressure at 4000, simply set t = 4000, to get A.

7 0

3 years ago

HELP FAST!!!!!!!!!!!!!!<br> What is the solution to the image?

STALIN [3.7K]

Answer:

x=8

Step-by-step explanation:

We have been given with the function:

Here, we have same base of logarithmic function on both sides of the equation.

So, we will equate the values on right hand side and left hand side of the equation we will get

After simplification we will get

After further simplification we will get

Hence,

Therefore the correct answer is 8.

7 0

2 years ago