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Maksim231197 [3]
3 years ago
10

If xy = a and x2 + y2 = b, which of the following is equivalent to 9b – 18a ?

Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

  A)  (3x -3y)²

Step-by-step explanation:

9b -18a = 9(x² +y²) -18xy

  = 9x² -18xy +9y²

  = (3x -3y)² . . . . . matches choice A

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If the total income generated from gasoline for aer was 408 million, how much would be the cost for a barrel of gasoline.
polet [3.4K]

*Missing Information: Total number of barrels are 60 million*

The correct answer is: Option (C) $20

Explanation:

As we are interested in finding the cost for a barrel of gasoline, we need to read the percentage of gasoline from the pie-chart first—which is 34%.

Now number of barrels containing gasoline = 34% of 60 million barrels = \frac{34}{100} * 60 = 20.4 million barrels

For all the barrels, the total income is $408 million; therefore, in order to find the per-barrel cost, we need to divide $408 by 20.4:

\frac{408}{20.4} = \$20

Hence the correct answer is $20 (Option C).

6 0
3 years ago
Read 2 more answers
F(x) = -2x + 14<br> g(x) = 2x2 - 6x - 2
Alexeev081 [22]
Y-intercept (7,0) x-intercept (0,14) = f(x)= -2x+14
7 0
3 years ago
Which expression is equivalent to 16 - 4x^2?
melamori03 [73]

Answer:

4(2 - x)(2 + x)

Step-by-step explanation:

16 - 4x² ← factor out 4 from each term

= 4(4 - x²) ← difference of 2 squares

= 4(2 - x)(2 + x) ← in factored form

8 0
3 years ago
A painter uses 1.2 liters of the paint to cover 1 meter squared of the wall.
Olin [163]

Answer:

10meter square

Step-by-step explanation:

1÷1.2×12

0.8333×12

10meter square

7 0
2 years ago
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Pilar says that two linear systems below have the same solution. (see picture) Is she correct? Explain.
wariber [46]
The first set:

3x + 2y = 2  ---1)
5x + 4y = 6  ---2)

From 1), multiply all by 2, 6x + 4y = 4  ---3)

3) - 2),

6x + 4y - (5x + 4y) = 6 - 4
6x + 4y - 5x - 4y = 2
x = 2

Sub in x = 2 into 1),

3(2) + 2y = 2
2y = -4
y = -2

(2 , -2)


The second set:

3x + 2y = 2  ---1)
11x + 8y = 10  ---2)

From 1), multiply all by 4, 12x + 8y = 8 ---3)

3) - 2),

12x + 8y - (11x + 8y) = 8 - 10
12x + 8y - 11x - 8y = -2
x = -2

From this x value alone, we can tell that these two linear systems do NOT have the same solution as they meet at different coordinates.

Hope this helped! Ask me if there's any working from here that you don't understand! :)

5 0
3 years ago
Read 2 more answers
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