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3 years ago

What's y=3x-3 2y-x=4 as an ordered pair

1 answer:

8 0

I don’t wanna give the exact answer, i want to help you and lead you in the right place so you know the concept and process if a similar question is on an assessment. basically, the set of equations is set up for substitution method. we can agree that y equals 3x-3. so in the second equation, instead of writing “2y” you would SUBSTITUTE the y for 3x-3. so the equation would be 2(3x-3)-x=4. do the distributive property. once you get the equation after doing the distributive property, you solve for x using your algebra skills from previous units (cancel out x’s, for instance). your answer is your x coordinate. in order to find your y, you substitute whatever number you got for x and plug it in to one of the equations, doesn’t matter which. you will then solve for Y using your algebra skills you learned from previous units. after solving, you should get what y=. now you put the number in coordinate pair form which is (x,y)

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Write each expression as an equivalent expression with a single logarithm. Assume xx, yy, and zz are positive real

Debora [2.8K]

Answer:

$\ln\frac{xy^2}{z^3}$

Step-by-step explanation:

Data provided:

ln(x) + 2 ln(y) − 3 ln(z)

Now,

From the properties of log function,

ln(A) + ln(B) = ln(AB)

n × ln(x) = ln(xⁿ)

and,

ln(A) - ln(B) = $\ln\frac{A}{B}$

applying the properties in the given equation

we get

⇒ ln(x) + 2 ln(y) − 3 ln(z)

⇒ ln(x) + ln(y²) - ln(z³) (using n × ln(x) = ln(xⁿ))

⇒ ln(xy²) - ln(z³) (using ln(A) + ln(B) = ln(AB) )

⇒ $\ln\frac{xy^2}{z^3}$ (using ln(A) - ln(B) = $\ln\frac{A}{B}$ )

8 0

4 years ago

The recangle is 23 ft long and 14ft wide if the Gardner wants to build a fence around the garden, how many feet of fence is requ

MAVERICK [17]

The answer is 106.83 i hope it helps

3 0

3 years ago

Each of the four sides of a swimming pool measures 12 meters. The pool is 6 meters deep. How much water will be needed to fill i

Jlenok [28]

The answer is b as 12 x 12 x 6 = 864

4 0

3 years ago

Read 2 more answers

A five-digit number is represented by ABCDE. If we add the number 1 in front of ABCDE, then the product of 1ABCDE and 3 will be

IceJOKER [234]

Answer:

ABCDE = 42857

Step-by-step explanation:

First, we will use logic. The only number that when it's multiplied by 3, gives 1 at the end is 7, so E should be 7, so:

1ABCD7 * 3 = ABCD71

If 3 times 7 is 21, we carry two, so, the next number by logic, cannot be 1, because 3*1 = 3 + 2 = 5, it's not 7, so, it should be another number, like 5.

5*3 = 15 + 2 = 17 and we carry one. So this number fix in the digit, and D = 5.

We have now: 1ABC57 * 3 = ABC571

Letter C, we have to get a number that when it's multiplied by 3 and carry one, gives 5. In this case 8, because: 3 * 8 = 24 + 1 = 25 and carry two. D = 8.

So far: 1AB857 * 3 = AB8571

Now, the same thing with B. If we multiply 3 by 2, and carry two we will have 8 so: 3 * 2 = 6 + 2 = 8. B = 2

1A2857 * 3 = A28571

Finally for the last number, a number multiplied by 3 that hold the 1 as decene, In this case, the only possibility is 4, 3 * 4 = 12 so:

142857 * 3 = 428571

7 0

3 years ago

The average of 10 numbers is -5. A new number is added to the list making the average-6. What is

DaniilM [7]

Question 1: The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?

To solve this question, first note that the sum of these numbers is -5*10 = -50. If the average of 11 numbers is -6, we must have that they add up to -6*11=-66. Therefore, the new number is -66-(-50) = -66+50 = -16.

Question 2: It is hard to explain why, but just know that the answer is No Solution. I think you must have made a typo, like maybe the product is -24?

7 0

3 years ago