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Westkost [7]
3 years ago
11

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0
Lets create both equations and :

f(x) = 5x^2 + 1


linear binomial form: x - 4

according to the remainder theorem, x - 4 is a divisor of f(x) if and only if f(4) = 0
f(4) = 5*16 + 1 = 81

hence x - 4 is not a divisor of f(x)
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What is the probability of flipping two coins at the same time and getting heads on both coins?
Romashka-Z-Leto [24]
According to me the probability is 1/4, because there are 4 possible outcomes when two coins are flipped - TT, TH, HT, HH. 

<span>Also, would it matter if the coins are flipped one after other rather than together</span>
5 0
3 years ago
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How to solve 45y to the second power plus 15y minus 10 ?
Lerok [7]

Answer:

Either y =\frac{-2}{3} or, y =\frac{1}{3}

Step-by-step explanation:

We have to solve the following quadratic equation  

45y² + 15y - 10 =0

Now, dividing both sides with 5 we get, 9y² + 3y -2 =0

Hence, to solve the above equation we have to factorize the left-hand part of the equation.

So, 9y² + 3y - 2 =0

⇒ 9y² +6y -3y -2 =0

⇒ (3y +2) (3y -1 ) =0

⇒ Either (3y +2) =0 or (3y -1) =0

⇒ Either y =\frac{-2}{3} or, y =\frac{1}{3} (Answer)

4 0
3 years ago
Solve the equation 1/2x=5/2x-3
lilavasa [31]

Answer:

i think it is a but there are algebra caculators online

Step-by-step explanation:

7 0
3 years ago
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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim
pogonyaev

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

Step-by-step explanation:

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 80% of confidence, our significance level would be given by \alpha=1-0.80=0.20 and \alpha/2 =0.10. And the critical value would be given by:

z_{\alpha/2}=\pm 1.28

Solution to the problem

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)  

Since we don't have prior info for the proportion of interest we can use \hat p=0.5 as estimator. And on this case we have that ME =\pm 0.025 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

5 0
3 years ago
What is 44 dvided into 2 groups with a ratio of 4/7
zalisa [80]

Total units would be: 4+7 = 11

value of 1 unit = 44/11 = 4

Ratio would be: 4(4) & 7(4) = 16 & 28

4 0
3 years ago
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