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3 years ago

Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x − 1, x = 0, y = 0, and y = 2?

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Weird that the only choices are given as integrals with respect to $x$ . (Integration along the $y$ axis would be way easier, but whatever)

The fourth option should do it.

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Which best describes the effect on the x-intercept of the graph of y=34x−3 if the slope is changed to −34

lesantik [10]

Answer:

The last option: The x-intercept becomes negative and the new line intersects the original line.

Step-by-step explanation:

Remember that when finding the x-intercept you set y to 0.

Let's compare the two equations when we solve for x:

0=34x-3 0=-34x-3

1. Add 3 to both sides of the equations

3=34x 3=-34x

2. Divide the coefficients

$\frac{3}{34}$ =x $\frac{3}{-34}$ =x

We know that the new slope does not remain the same as stated in the first and third options. In order for two lines to be parallel, the slopes must be exactly the same, so the second option is incorrect. Therefore, the last option is correct.

3 0

2 years ago

Read 2 more answers

Make an equation that has the numbers : -3.78 , -1.2y, and -4.2y

kodGreya [7K]

Answer: In solution

Step-by-step explanation:

Well, first you need to arrange the numbers in anyway, separated by operations. I just did:

-3.78 + (-1.2y + -4.2y)

We then need to come up with the other side of the equation.

For this, I added the like terms:

-3.78 + (-1.2y + -4.2y) = -3.78 -5.4y

Then, I came up with a value for y. Y = 5

Then, I multiplied -5.4 by 5, getting -27 so,

-3.78 + (-1.2y + -4.2y) = -3.78 - 27

Again, I collected like terms:

-3.78 + (-1.2y + -4.2y) = -30.78

Now, I have my equation.

———————————————————————————————

HOW TO SOLVE THE EQUATION

-3.78 + (-1.2y + -4.2y) = -30.78

1. Add 3.78 to both sides

-1.2y + -4.2y = -27

2. Collect like terms

-5.4y = -27

3. Divide both side by -5.4

y = 5

8 0

3 years ago

Read 2 more answers

Roger will flip a coin 3 times. Which 2 events are disjoint?

Ganezh [65]

Answer: D. Getting at least 2 heads and Getting at least 2 tails

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Explanation:

Choice A is not disjoint because "getting at least 1 tail" could have the sequence TTH. We see that we have two tails and exactly one head. So the events "getting exactly 1 head" and "Getting at least 1 tail" are possible to occur at the same time; therefore, they aren't disjoint events. Disjoint events are two events that cannot occur simultaneously. An example would be flipping heads and tails on the same coin at the same time.

Choice B is also not disjoint. We could have the sequence THT, which has at least one head and at least one tail. "At least" means that amount or more.

Choice C is also not disjoint. We could have the sequence HTT. This has exactly one head and at least two tails.

Choice D is the only thing left. It must be the answer. It is not possible to get 2 heads and 2 tails when Roger only flips the coin 3 times. He would need to flip the coin at least 4 times for this to happen. The portions "at least" don't even need to be considered. So this shows how choice D is disjoint.

7 0

3 years ago

What is 12/9 in simplest form

sukhopar [10]

It depends on if your answer is supposed to be a mixed number or improper fraction. The answer is either 4/3 or 1 1/3

8 0

3 years ago

Right or left

Anvisha [2.4K]

Answer:

1) null: π = 0.5, alternative: π > 0.5

2)p^= 80/124 =0.645

std error =(phat(1-phat)/n)1/2 =0.0430

3)z = (phat-p)/std erro =(0.645-0.5)/0.0430 =3.22

4)The observed proportion of couples who leaned to the right when kissing is 3.22 standard deviations above the null hypothesized value of 0.50

5)We have strong evidence that the proportion of couples that lean their heads to the right while kissing is more than 50%

7 0

3 years ago