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Alex777 [14]
2 years ago
8

Solve the simultaneous equation 2x - 5y = 9 3x + 4y = 2

Mathematics
1 answer:
lianna [129]2 years ago
8 0

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

3x + 4y = 2

Multiply first equation by -3 and the second by 2:

-6x + 15y = -27

6x + 8y = 4            Adding the 2 equations:

23y = -23

y = -1.

Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

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3 years ago
2. Find the volume of the cylinder pictured below. Use 3.14 for pi. Give your answer to the nearest tenth. Show your work to rec
Blababa [14]
Question 2

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Formula
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Volume of the cylinder = πr²h

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Find Radius
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Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft

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Find Volume
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Volume = πr²h
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Volume = 1648.5 ft³

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Answer: Volume = 1648.5 ft³
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Question 3

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7 0
3 years ago
Select all that are true for g(x) = 10/x (PLEASE ANSWER FAST ILL LOVE YOU FOREVER)
Ksivusya [100]
The given function is:

g(x)= \frac{10}{x}

The parents functions of g(x) will be:

f(x)= \frac{1}{x}

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0. 

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
<span>The range is the same as the range of the parent function.
</span><span>The function g(x) decreases over the same x-values as the parent function.</span>
8 0
2 years ago
Read 2 more answers
Aubrey's dinner cost $85. She tips the waitstaff 30%, for excellent service.
Olin [163]
30% is equal to 0.3 (found by dividing the percentage by 100). Then we multiply the cost of dinner, $85, by 0.3 to find an answer of $25.50.

Answer: $25.50
6 0
2 years ago
Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought
djyliett [7]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 \times 2 = $6.5

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Price of two bags of popcorn = $0.99 \times 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

7 0
2 years ago
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