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kozerog [31]
3 years ago
10

Solve for the indicated variable. 8x + 4y = 12; y​

Mathematics
1 answer:
Ket [755]3 years ago
4 0

Answer:

y=-2x+3

Step-by-step explanation:

Given: 8x+4y=12

To solve for y, let us first isolate y on one side of the equation. We can do this by subtracting 8x from the left and move it to the right. We then get:

4y=12-8x

Now, we have y isolated. We now have to remove the 4 from the y. The only way to do this is divide both sides by 4. We then get our final answer:

y=3-2x

We can clean this up by putting it in a common form, slope-intercept form:

y=-2x+3

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3 years ago
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Gasoline costs 1.05 euro per liter in France. What is the price in dollars per​ gallon?
Alecsey [184]

The price in dollars per gallon is 4.02 dollars per gallons.

<h3>How to find the price of gasoline in dollars per gallon?</h3>

Gasoline costs 1.05 euro per litre in France.

The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.

Then, equate it the quantity of litres to gallons.

Hence,

1 euro = 1.01 dollars

1.05 euro = ?

cross multiply

price  = 1.05 × 1.01

price = 1.0605 dollars

1 litres = 0.264172 gallons

Therefore,

cost =  1.0605 /  0.264172

cost  = 4.01552442257 dollars per gallons

cost  = 4.02 dollars per gallons

Therefore, the price in dollars per gallon is 4.02 dollars per gallons.

learn more on price here: brainly.com/question/14501882

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6 0
1 year ago
What times what gives me -48 but adds to be -32?
oee [108]

Answer:

a couple of irrational numbers: -16±4√19, approximately {1.436, -33.436}

Step-by-step explanation:

Your question can be cast as the quadratic equation

  x² +32x -48 = 0

The solutions can be found using the quadratic formula:

  x = (-32 ±√(32² -4(1)(-48)))/(2(1)) = -16±√304 = -16±4√19

_____

<em>Comment on the equation we used</em>

We notice that when p and q are roots, the equation can be written ...

  (x -p)(x -q) = 0 = x² -(p+q)x +pq

You want p+q = -32, pq = -48, so the equation is ...

  x² -(-32)x +(-48) = 0

  x² +32x -48 = 0 . . . . . . with parentheses eliminated

5 0
3 years ago
Does anyone get this???
Alex_Xolod [135]

Answer:

try using desmos it is a calculater

Step-by-step explanation:

7 0
3 years ago
Show work and solve for √ ( 5 x − 9 ) − 1 = x.
Mandarinka [93]

sqrt (5x - 9) - 1 = x

sqrt(5x - 9) = x + 1

Square both sides:_

5x - 9 = x^2 + 2x + 1

x^2 - 3x + 10 = 0

(x - 5)(x + 2) = 0

x = 5 or -2.

Lets look for for any extraneous solutions:-

x = 5 ;  sqrt (5*5-9) - 1 = sqrt16 - 1 =  3  and  x = 3  (right hand side of equation)

so x = 5 is a solution

x = -2:  sqrt(5*-2 - 9) - 1 =  sqrt (-19) - 1  and x = -2  so this is extraneous

Answer:- One solution x = 5

4 0
3 years ago
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