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3 years ago

Combining like terms with negative coefficients −n+(−4)−(−4n)+6

1 answer:

8 0

Remember, if you add negative four, you're really subtracting four, or if you take away negative four, you're really adding four.

-n+(-4)-(-4n)+6
-n-4+4n+6 simplify
{-n+4n are like terms, so combine them. -n+4n is exactly the same as 4n-n, so flip them around if it helps. Just remember to keep the sign with the right number. Same thing with -4+6.}

Answer:

3n+2

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A researcher asks random samples of residents of two separate counties as to whether they had purchased organically grown food i

Leni [432]

Answer:

2 proportions z test

The two populations are named as residents from the first county and residents from the second county.

Step-by-step explanation:

This is testing hypothesis about the difference between two proportions.

When the proportions are tested if they are the test statistic

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂

where p^1 is the proportion of success in the first sample and p^2 of size n₁ is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.

When the sample sizes are sufficiently large

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.

The two populations are named as residents from the first county and residents from the second county.

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2 years ago

I NEED HELPPPPP!!! Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what i

nordsb [41]

The answer is The third angle measures 120 degrees

Step-by-step explanation:

I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.

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2 years ago

Carly tried to solve an equation step by step.

jeyben [28]

Answer:

First step of the problem

Step-by-step explanation:

The mistake that Carly did while solving the equation was that she multiplied -4 with 10, when there was no reason to. If she had to, it would be if -4 was 1 over -4 and then to get rid of that should would multiplied that on both sides. Both in this case there was no reason to.

Besides that, the real way to solve the problem is by doing these steps.

1. Distribute property

-4(7j+2) = 10 => take -4 times 7j and -4 times POSITIVE 2

-28j-8= 10

You may be wondering why can't we add 7j and 2 together? Well it's because they aren't the same variable if 7j was just 7, then you could add 7 and 2 together. And if 2 was 2j, you would add 7j and 2j together. This type of process is called "combine like terms." It's when you add or subtract all the terms that are the same variable.

2. Get "j" on one side

-28j-8= 10

-28j= 18

With this we had to add 8 on both sides to get -28j on one side of the equation. This is how we ended up with -28j= 18

3. Get "j" all alone

j= -28/18

or j= -14/9

Why did we divide 18? Well if you divide 18 on both sides, you have one side cancel out and the other side resulting in the coefficient with the variable divided by the number, this will cause "j" to be alone or have an answer.

The right answer for "j" is actually -14/9

I hope this help you understand, if not don't be afraid to ask questions or even comment. Hope you have a great day, bye! :D

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3 years ago

Please answer it now in two minutes

Pepsi [2]

Answer:

m∠C = 90°

Step-by-step explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)