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mrs_skeptik [129]
3 years ago
5

x + y = 6. 2x - y = 3. The system of equations. . . a.has no solution. b.has one solution. c.is coincident

Mathematics
2 answers:
balu736 [363]3 years ago
8 0

Answer:

<u>The answer is the option B</u>

The system has one solution

Step-by-step explanation:

we have

x+y=6 ------> equation A

2x-y=3 ------> equation B

Adds equation A and equation B

x+y=6\\2x-y=3\\-------\\2x+x=6+3\\3x=9\\x=3

Find the value of y

Substitute the value of x in equation A or equation B

3+y=6

y=3

therefore

The system has one solution

galina1969 [7]3 years ago
5 0
X + y = 6 
<span>2x - y = 3 </span>
<span>3x = 9 </span>
<span>x = 3 </span>
<span>y = 3 </span>

<span>b) One solution is right answer</span>
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3 years ago
Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits
Ostrovityanka [42]

Answer:

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Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

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P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

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7 0
3 years ago
The value -2 is a lower bound for the zeros of the function shown below.
Tju [1.3M]

Answer:

False

Step-by-step explanation:

f(x) = 4x³ - 12x² - x + 15

Set output to 0.

Factor the function.

0 = (x + 1)(2x - 3)(2x - 5)

Set factors equal to 0.

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x = -1

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x = 3/2

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2x = 5

x = 5/2

-2 is not a lower bound for the zeros of the function.

7 0
3 years ago
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