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TEA [102]
3 years ago
12

WHICH EXPRESSION IS NOT EQUIVALENT?

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
3 0

Answer:

C

Step-by-step explanation:

First, factor the original expression:

2x^2+10x+12\\2(x^2+5x+6)\\2(x+3)(x+2)

As we can see, D is the same as above. Eliminate D.

Go through each of the answer choices.

A:

(2x+4)(x+3)\\=2(x+2)(x+3)

This is equivalent to what we factored. Eliminate A.

B:

(2x+6)(x+2)\\=2(x+3)(x+2)

This is again equivalent to what we factored. Eliminate B.

C:

(2x+3)(x+4)\\

This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.

Stella [2.4K]3 years ago
3 0

Answer:

The expression that is not equivalent to 2x²+ 10x + 12 is c)

Step-by-step explanation:

Hello!

To resolve these equations you have to do the following steps:

For example, you have  (a+b)(c+d) you have to multiply the first term included in the first parenthesis with the terms of the second parenthesis and add them:

a*c + a*d

Then do the same with the second term:

b*c + b*d

Finally, you add them

ac+ad+bc+bd

If there are common terms, you have to add them.

a)

(2x+4)(x+3)

First you multiply 2x by the terms contained in the second parenthesis.

2x*x + 2x*3= 2x²+6x

Then you do the same with 4

4*x + 4*3= 4x + 12

Now you put it all together:

2x²+6x + 4x + 12

and add common terms 6x + 4x= 10x

2x²+ 10x + 12

b)

(2x+6)(x+2)= 2x²+4x +6x +12= 2x²+ 10x + 12

c)

(2x+3)(x+4)= 2x²+8x + 3x + 12= 2x² + 11x + 12

d)

2(x+3)(x+2)

In this case you have three terms in the equation "2" "(x+3)" and "(x+2)"

First you have to resolve the multiplication between the parenthesis and then you can multiply it by two

First:

(x+3)(x+2)= x*x+x*2+3*x+3*2= x²+2x+3x+6= x²+ 5x + 6

Now you can multiply it by two:

2(x²+ 5x + 6)= 2*x²+ 2*5x + 2*6= 2x² + 10x + 12

The expression that is not equivalent to 2x²+ 10x + 12 is c)

I hope this helps!

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a recipe calls for 12 ounces of raisin. raisins come in boxes of 170 g. how many boxes of raisins are needed for the recipe?
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Hi there! Hope this helps, and if it does, please mark brainliest!

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

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n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

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