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Gre4nikov [31]
3 years ago
13

State whether ordered pair of numbers is a solution of the sentence:3y>2x+1;(4,3)

Mathematics
2 answers:
4vir4ik [10]3 years ago
6 0
3y > 2x + 1

You have asked us to check out the point where  x=4  and  y=3 .
All we need to do is to plug those numbers in place of 'x' and 'y',
and see whether the resulting statement is true:

3y > 2x + 1

3(3) > 2(4) + 1

On the left side, 3(3) is the same as 9.
On the right side, 2(4) + 1 is the same as (8 + 1) and that's 9 .

So the statement says:    9  >  9 ,  and that's <em><u>not</u></em> true.
9 is <u>equal</u> to 9, it is not <u>greater</u> than 9 .

So this point is not a solution of the inequality.

fiasKO [112]3 years ago
6 0
3\cdot3>2\cdot4+1\\&#10;9>9

It's not.
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4 years ago
Read 2 more answers
Barbara made a bad investment. Rather than earning interest, her money is decreasing in value by 11% each week! After just one w
pochemuha

Answer: She started with $160.

It will take 6 weeks before she has less than half of what she originally invested.

Step-by-step explanation:

If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the investment after t weeks.

t represents the number of weeks.

P represents the initial value of the investment.

r represents rate of depreciation.

From the information given,

A = $142.40

r = 11% = 11/100 = 0.11

t = 1

Therefore

142.40 = P(1 - 0.11)^1

142.40 = P(0.89)

P = 142.4/0.89

P = 160

For her to have half of what she invested originally, then

80 = 160(0.89)^t

80/160 = (0.89)^t

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Taking log of both sides to base 10

Log 0.5 = log0.89^t = tlog0.89

- 0.3010 = - 0.051t

t = - 0.3010/- 0.051

t = 5.9

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