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3 years ago

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Which direction does the graph of the equation shown below open? right, left, up, or down? x^2+6x-4y+5=0

1 answer:

Mademuasel [1]3 years ago

7 0

X^2 + 6x - 4y + 5 = 0
4y = x^2 + 6x + 5
y = 1/4x^2 + 3/2x + 5/4

Since, x is the squred part and x^2 has a positive coefficient, therefore, the graph opens up.

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Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. Contour integral Subscript Up

Setler79 [48]

By Green's theorem, we have

$\displaystyle\int_C\left(7x+\cos\frac1y\right)\,\mathrm dy-(3y^2+\ln(3x))\,\mathrm dx$

$=\displaystyle\iint_{[1,4]\times[0,3]}\frac{\partial\left(7x+\cos\frac1y\right)}{\partial x}-\frac{\partial(-(3y^2+\ln(3x))}{\partial y}\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^3\int_1^47+6y\,\mathrm dx\,\mathrm dy=\boxed{144}$

4 0

3 years ago

Sample Response: The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as

Ivan

The conditional probability illustrates that's there's a 2/8 that the event A occurs.

<h3>How to illustrate the probability?</h3>

It should be noted that probability simply means the likelihood of the occurence of an event.

In this case, it can be delivered that P(AID) and P(DIA) aren't equal.

Hence, P(D|A) has event A as its given event, resulting in 2/8 for a probability.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

7 0

2 years ago

Solve 4/7- (-4/7)<br>A. 8/7<br>B.-8/7<br>C.-4/7<br>D.4/7

mart [117]

Answer:

A. 8/7

Step-by-step explanation:

<h3>Step 1 </h3>

4/7 - (-4/7) --> 4/7 + 4/7

The two minutes turn into a plus, removing the bracket.

<h3>Step 2</h3>

4/7 + 4/7 = 8/7

Add the two fractions together.

3 0

2 years ago

Read 2 more answers

Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3+9x2−54x Ax(x2+B)(x+C)

iren2701 [21]

Answer:

A and B are both 3.

Step-by-step explanation:

The given polynomial is $3x^4-18x^3+9x^2-54x$ .

We factor the GCF to obtain:

$3x(x^3-6x^2+3x-18)$

We factor further by grouping to get:

$3x[x^2(x-6)+3(x-6)]$

$3x(x^2+3)(x-6)$

We compare this to the given factored expression:

$3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)$

We must have A=3,B=3, C=-6

8 0

3 years ago

Read 2 more answers

You have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles in a Bowl. You randomly pick 4 marbles from the bowl (without replac

makvit [3.9K]

Answer:

2%

Step-by-step explanation:

In this case each one is an independent event, therefore, the multiplication of each one would be the final probability

We have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles, that is, there are 5 + 4 + 3 12 Marbles in total.

Now if I draw a red one, the probability would be: 5/12

When drawing another red, the probability would be: 4/11

When taking the green: 4/10

When removing the blue: 3/9

Finally, the final probability is:

P = (5/12) * (4/11) * (4/10) * (3/9)

P = 0.020

In other words, the probability of this happening is 2%

7 0

3 years ago