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2 years ago

Using the linear combination method, what is the solution to the system of linear equations 7x-2y=-20 and 9x+4y=-6 ?

Mathematics

2 answers:

Ratling [72]2 years ago

7 0

Answer:

The answer would be well, B.(-2,3)

AleksandrR [38]2 years ago

4 0

Answer:

(x, y ) = (- 2, 3 )

Step-by-step explanation:

given the 2 equations

7x - 2y = - 20 → (1)

9x + 4y = - 6 → (2)

multiply (1) by 2 making the coefficients of y equal and opposite

14x - 4y = - 40 → (3)

add (2) and (3) term by term

(9x + 14x ) + (4y - 4y ) = (- 6 - 40 )

23x = - 46 ( divide both sides by 23 )

x = - 2

substitute x = - 2 into either (1) or (2) for y

(2) - 18 + 4y = - 6 ( add 18 to both sides )

4y = 12 ( divide both sides by 4 )

y = 3

solution is (- 2, 3 )

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A three-dimensional object has a depth of 8 inches and a triangular base that has an area of 12 square inches, so it has a volum

Lemur [1.5K]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

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Height of a three dimensional object = 8 inches

We need to find the Volume of that object.

As we know that "Volume = Area of base × Height "

So, it becomes,

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Hence, Option 'D' is correct.

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2 years ago

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The sum of three consecutive odd integers is 195. Find the three integers.

Anettt [7]

Good afternoon,

x= first odd integer
x+2 = second odd integer
x+4= third intenger

The sum of the trhree integer is 195, so:

x + (x+2) + (x+4) = 195
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3x=189
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Then the Answer is: 63, 65 and 67

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2 years ago

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If x+2=5 then x= What

alexandr402 [8]

Answer:

Step-by-step explanation:

5-2=3

Just do it the other way to find the answer!

I hope this helps!

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2 years ago

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The stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when a

olganol [36]

Answer:

0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $188.876

Standard Deviation, σ = $4.6412

We are given that the distribution of stock price is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

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0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.

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2 years ago

Lilly has 8 dollars.She needs 80 dollars for a new bike.How much more monney does she need

Viktor [21]

To solve this, just take $80 and subtract her amount of money she has now, which is 8. $80-$8=$72

She needs $72

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3 years ago

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