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12345 [234]
3 years ago
14

Solve the system by elimination:2x+3y=44x+6y=9

Mathematics
1 answer:
tangare [24]3 years ago
6 0
\left \{ {2x+3y=4\ \ |*(-2)} \atop {4x+6y=9}} \right. \\\\ \left \{ {-4x-6y=-8} \atop {4x+6y=9}} \right. \\+------\\Elimination\ method\\\\
0 \neq 1\ \ \\This\ is\ not\ equal\ so\ there\ are\ no\ solutions.
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For what values of x is the quantity x-7
Andreas93 [3]

positive = greater than 0.

Therefore we have the inequality:

x-7 > 0       |add 7 to both sides

x > 7

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3 years ago
What is trigonometry ​
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Step-by-step explanation:

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2 years ago
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Find the vertex of the graph of f(x) = x2 + 4x - 5.
Fofino [41]
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0
3 years ago
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

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

And rounded up we have that n=385

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".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

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)  

We can use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

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

And rounded up we have that n=385

3 0
3 years ago
X/4=-5/20<br> Algebra<br> Solve for x
Ivahew [28]

Answer:

Algebra =

X/4 = -5/20

Simplify :

X/4 = -1/4

Of course, Will same x/4 = -1/4

<h3>Answer : X = -1</h3>
8 0
3 years ago
Read 2 more answers
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