Solve for x. help please

Place the indicated product in the proper location on the grid. (y + 1/3)(y - 1/3)

NeX [460]

Answer:

y² - 1/3

Step-by-step explanation:

I kind of don't understand the question. But I tried my best to understand.

The way I simplify it is to multiply it with each other.

(y + 1/3)(y - 1/3)

=> y² - y/3 + y/3 - 1/9

=> y² - 1/9

After simplifying, we got y² - 1/9

3 0

2 years ago

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What is the solution of the system? Use elimination. 7x + 5y = 19 −7x − 2y = −16

netineya [11]

Make the coefficient of y the same in both equations:

To do this, multiply equation one by 2, and equation two by 5 (this will make the coefficient 10 in both).

14x + 10y = 38
-35x - 10y = -80

Eliminate the y variable by adding the equations from each other

(14x + 10y = 38)
+ (-35x - 10y = -80)
= -21x + 0y = -42

We now have -21x = -42. The y variable has been eliminated.

Solve for x

-21x = -42

Divide both sides by -21 to get x on its own.

x = 2

Substitute x into the equation to find y.

7*2+5y=19

14+5y=19

Subtract 14 from both sides.

5y=19-14

5y=5

Divide by 5 on both sides to get y on its own.

y=5/5

y=1

The answer is (2,1)

8 0

4 years ago

A receptionist named Eve spends 5minutes routing each incoming phone call. In all,how many phone calls does Eve have to route to

Sati [7]

7, because 35 divided by 5=7

5 0

3 years ago

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Kara is building a sandbox shaped like a kite for her nephew. The top two sides of the sandbox are 29 inches long. The bottom tw

Tresset [83]

The wording is unclear without a diagram. As such, there are two possible cases and two possible answers.

Case 1: Diagonal $\overline{DB}$ is formed by connecting the vertices formed by the meeting points of a 25-inch side and a 29-inch side. 
Call the intersection point of $\overline{DB}$ and $\overline{AC}$ E. $\overline{AC}$ bisects $\overline{DB}$ , so $DE=BE=20\text{ inches}$ . Since the diagonals of a kite are perpendicular to each other, $\triangle AED$ and $\triangle CED$ are both right triangles. One has a hypotenuse of $29$ , and the other has a hypotenuse of $25$ , but both share a leg of $20$ . Using the Pythagorean Theorem, we can get that the length of the other leg in the triangle with a hypotenuse of $29$ is $21$ . Similarly, for the triangle with a hypotenuse of $25$ , the other leg has a length of $15$ . Together, these legs make up $\overline{AC}$ , meaning $AC=21+15=36 \text{ inches}$ , our final answer.

Case 2: Diagonal $\overline{DB}$ is formed by connecting the vertices formed by the meeting points of the sides with equal lengths.
Call the intersection point of $\overline{DB}$ and $\overline{AC}$ E. We will focus on two triangles, namely $\triangle ADE$ and $\triangle ABE$ . Since diagonals intersect perpendicularly, these triangles are right triangles. One of them has a hypotenuse of $29$ , and the other has a hypotenuse of $25$ . They both share a leg that is half of $\overline{AC}$ because $\overline{DB}$ bisects $\overline{AC}$ . Let $AE=y$ and the non-shared leg of the right triangle with a hypotenuse of $29$ equal $x$ . Since $DB=40$ , the non-shared leg of the other right triangle (the one with a hypotenuse of $25$ ) has a length of $40-x$ . Using the Pythagorean Theorem, we can get the equations $x^2+y^2=29^2$ and $(40-x)^2+y^2=25^2$ . These can simplify to $x^2+y^2=841$ and $1600-80x+x^2 + y^2=625$ . Isolating the term $y^2$ , we can get $y^2=841-x^2$ and $y^2=625-x^2+80x-1600$ . The latter can simplify to $y^2=-975-x^2+80x$ . Using substitution, we can combine the two equations into one and get $841-x^2=-975-x^2+80x$ . We can simplify that to $80x=1816$ , meaning $x=22.7$ . However, we are looking for $2y$ ( $y$ is only half of $\overline{AC}$ ). We can solve for $y$ using the Pythagorean Theorem and the triangle with a hypotenuse of $29$ and a leg of $22.7$ . We get $y \approx 18.05$ , meaning $\overline{AC}=2y \approx 36.1 \text{ inches}$ , our final answer.

3 0

4 years ago

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The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. Y

PilotLPTM [1.2K]

Question Completion:

Suppose that

H subscript o : mu less or equal than 0.01

H subscript alpha : mu greater than 0.01

The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.

A. maximize the power of the test

B. maximize beta

C. minimize mu

D. maximize the significance, alpha

E. maximize 1 minus alpha

Answer:

In this case you would want to _____.

D. maximize the significance, alpha

Step-by-step explanation:

The alpha (α) denotes the significance level or the probability of rejecting the initial or null hypothesis when it is true.

A higher alpha (α) reduces the probability of committing a Type II error or not rejecting the null hypothesis. On the other hand, a higher alpha (α) makes it more probable to reject a null hypothesis when it is true (Type I error).

6 0

3 years ago