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2 years ago

Why is the point ( 3, 4 ) the solution to this system of equations? y= 1/3x + 3 y= 2x - 2

Mathematics

1 answer:

evablogger [386]2 years ago

6 0

Answer:

The answer to your question is because it is a solution of each equation.

Step-by-step explanation:

Data

Point (3,4)

Equation l y = 1/3x + 3

Equation ll y = 2x - 2

Process

1.- To test is a point is solution to a system of equations,

-Substitute the point in both equations

Equation l 4 = 1/3(3) + 3

4 = 1 + 3

4 = 4 The point is a solution because

4 = 4

Equation ll 4 = 2(3) - 2

4 = 6 - 2

4 = 4 This point is a solution for the second

equation but not for the first one.

2.- Conclusion

As the point is a solution of each equation, it is a solution of the system.

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There are 325 children at the zoo . If 64% of children are boys and the

aleksandr82 [10.1K]

Answer:

117 Girls

Step-by-step explanation:

If 64% of the kids are boys, then 36% are girls 64% + 36% = 100%

.36 x 325 = 117 girls

Proof

.64 x 325 = 208 boys

208 + 117 = 325

4 0

2 years ago

Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y

miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

$5^{x-2}= 8$

Taking Log on both sides.

$Log_e 5^{x-2}=Log_e8$

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x = 2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

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5 0

1 year ago

Explain how the digit 7 can have different values

kakasveta [241]

It could be 7 groups of 1 3 groups of 2 with one left over or 2 groups of 3 with 1 left over

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2 years ago

Divide use partial quotients 36 divided by 540

Blizzard [7]

Answer and explanation;

= 1/15 is the answer get when 36 is divided by 540 .

We can use the partial quotients to divide 540 by 36 then we get the reciprocal of the answer;

540 ÷ 36

We can take 360 ÷ 36 = 10

Then the remainder is ; 540 -360 = 180

But ; 180 ÷36 = 5

Then we get the sum of the quotients which is 10 +5 = 15

Thus; 540 ÷ 36 = 15

However; the question was 36 ÷ 540 , so we get the reciprocal of 15;

= 36 ÷ 540 = 1/15

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2 years ago

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Which organism does not produce an external egg as part of its life cycle? *

eduard

Answer:

dog

Step-by-step explanation:

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2 years ago