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Alex787 [66]
4 years ago
11

−4x−6=−5y+2 Write a formula for G (x) in terms of x

Mathematics
1 answer:
vodka [1.7K]4 years ago
4 0
G(x) is function notation.  It's another way to say y = .  When an equation is written in terms of x, that means that x is the variable in the equation, like 3x+5, for example.  If an equation is in terms of t, then an example of an equation in terms of t is 3t + 5.  If the function is g(t), then the whole equation is g(t)=3t+5.  In order to get our equation in terms of x, we need to solve for y.  Subtract 2 from both sides.  -4x - 6 - 2 = -5y.  Combine like terms to simplify the left side.  -4x - 8 = -5y.  Divide both sides by -5 to get the equation solved for y.  y= \frac{4}{5}x+ \frac{8}{5}.  In function notation, it's  g(x)= \frac{4}{5}x+ \frac{8}{5}.  
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MA_775_DIABLO [31]

Answer: x=31

Step-by-step explanation:

(3x+25)+2x=180

5x+25=180

5x=155

x=31

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3 years ago
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3 years ago
A rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?
spin [16.1K]

Answer:

34 cm

Step-by-step explanation:

Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.

Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.

⇒ Perimeter of rectangle = L + S + L + S

⇒ Perimeter of rectangle = 2(L) + 2(S)

⇒ Perimeter of rectangle = 2(L + S)

Now, let's substitute the length and the width in the perimeter and simplify.

⇒ Perimeter of rectangle = 2(10 + 7)                                                [L = 10; S = 7]

⇒ Perimeter of rectangle = 2(17)

⇒ Perimeter of rectangle = 34 cm

5 0
2 years ago
At the end of year 1, Boller Co. had an ending balance in allowance for uncollectible accounts of $30,000. During year 2, Boller
Masja [62]

Answer:

$34,000

Step-by-step explanation:

First they had 30,000

Then wrote off 40,000

So balance is 30,000 - 40,000 = -10,000

Now, they want 8% of 300,000 as uncollectible. So that would be

0.08 * 300,000 = 24,000

Thus, to bring the balance to 24,000 [balance is -10,000], how much would they need to add?? Let it be x:

-10,000 + x = 24,000

x = 24,000 + 10,000 = $34,000

8 0
4 years ago
Help me i give 15 points
Alinara [238K]

Annie's Attic does not have a proportional relationship but Bettie's Boutique does. The constant of proportionality at Betty's Boutique is 0.8.

Step-by-step explanation:

Step 1; To have a proportional relationship, if x's value varies, the y's value should also vary. If x increases, y increases correspondingly while if x decreases, y should also decrease.

Step 2; For Annie's Attic, the sale price = Original price - $5.

No matter what the value of the original price, there is only a difference of $5. Even if the price is increased to $100 the discount will only be $5. So this is not a proportional relationship.

Step 3; At Bettie's Boutique, they are having a 20% off sale. Whatever the cost, 20% is reduced. If bought for $15, price is $15 - 20% = $12. If bought for $25, the price will be $25 - 20% = $20.

If the original price is taken as x as the sale price is y, the relationship is given by; y = (100% - 20%) × x = 80% × x = 0.8 × x. So y = 0.8x. Here the constant of proportionality is 0.8.

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4 years ago
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