Factorize:

8) x²y - 4xy + 4y =

12) 4/25x²-3/5x+9/16 =

Answer:

between points (x1,y1) and (x2,y2) is

m=(y2-y1)/(x2-x1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

  2.0 km

Step-by-step explanation:

The Law of Cosines can be used to find the third side of a triangle in which two sides and the angle between them are given.

The law of cosines tells us ...

  c² = a² +b² -2ab·cos(C)

Using the given values, we have ...

  c² = 4.2² +4.5² -2(4.2)(4.5)cos(26°)

Simplifying the equation, we get ...

  c² = 37.89 -37.8cos(26°) ≈ 3.91559

  c ≈ 1.979 . . . . km

The width of the strait is about 2.0 km.

Answer:

A) -6+2

Step-by-step explanation:

The hypotheses can be written as:

H0: p = 0.28

Ha: p ≠ 0.28

The null hypothesis (H0) is that the proportion of students who smoke regularly today (p) is equal to the proportion of students who smoked regularly last year (0.28). The alternative hypothesis (Ha) is that the proportion of students who smoke regularly today is different from 0.28.

This is a two-tailed test, as we are looking for a difference in either direction from the proportion found last year. A significance level (α) should be chosen in advance to determine the level of risk that we are willing to accept of rejecting the null hypothesis when it is actually true. Typically, a significance level of 0.05 is used, which means that we are willing to accept a 5% chance of making a type I error (rejecting the null hypothesis when it is actually true).

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Answer:

12u + 14 + 5x or 12u + 11 + 5x = 3

Step-by-step explanation: I dont know I was just guessing cause u had 2 equal signs by numbers

Answer:

\(\frac{x}{12}\) (x/12)

Step-by-step explanation:

if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]

(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)

Answer:

Timber=x/12

Step-by-step explanation:

12 pieces long is x, if the length of each one is same, so the length of each one is x/12.

The only solution to the equation is (6, 5).

Linear equation can be represented in slope intercept form as follows;

y = mx + b

where

Therefore, the linear equation is y = 2 / 3 x + 1 .

Therefore, let's check if  (6, 5) and (9, 8) are solution to the linear equation. We have to insert the x values in the equation to know whether we will get the y values

y = 2 / 3 x + 1 .

5 = 2 / 3(6) + 1

5 = 4 + 1

5  = 5

let's check (9, 8)

y = 2 / 3 x + 1

8 = 2 / 3 (9) + 1

8 = 6 + 1

8 ≠ 7

Therefore, only (6, 5) is a solution

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Answer:

5/9 = 10/16 is not proportional

Step-by-step explanation:

5/8=10/16 (If you simplify you will get 5/8=5/8 which is true)

25/40=10/16 (If you simplify you will get 5/8=5/8 which is true)

15/24=10/16 (If you simplify you will get 5/8=5/8 which is true)

5/9≠10/16 (If you simplify you will get 5/9=5/8 which is not true)

Hope this helps

Answer:

I think D

if wrong correct me plssssssss

have a nice day

And good luck if you have exam

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The statement "roses are not red and violets are not blue" can be represented as \(~(p ^ q).\)

To represent the statement "roses are not red and violets are not blue," we can break it down into two separate statements: "roses are not red" and "violets are not blue." Let's consider p as "roses are red" and q as "violets are blue."

The negation of p, which means "roses are not red," can be represented as ~p. Similarly, the negation of q, which means "violets are not blue," can be represented as ~q.

Since we want to represent the statement "roses are not red and violets are not blue," we need to combine the negations of p and q. In logical notation, the conjunction "and" is represented by ^.

Therefore, the statement "roses are not red and violets are not blue" can be represented as ~\((p ^ q)\), where \(~(p ^ q)\) denotes the negation of the conjunction of p and q.

In this case, option c, ~\((p ^ q),\) is the correct representation of the statement "roses are not red and violets are not blue."

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Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

Answer:

43.98 or about 44

Step-by-step explanation:

Answer:

f(x) = 7 . x=1 .

The given initial value problem (IVP) is y'' + 13y = 0 with the initial condition y'(0) = 0. the eigenvalue of the given system is ±i√13, and the corresponding eigenfunctions are \(e^(i√13t) and e^(-i√13t).\)).

To find the eigenvalue of the system, we first rewrite the differential equation as a characteristic equation by assuming a solution of the form y = \(e^(rt)\), where r is the eigenvalue. Substituting this into the differential equation, we get \(r^2e^(rt) + 13e^(rt) = 0.\) Simplifying the equation yields r^2 + 13 = 0. Solving this quadratic equation gives us two complex eigenvalues: r = ±√(-13). Therefore, the eigenvalues of the system are ±i√13.

To find the eigenfunction, we substitute one of the eigenvalues back into the original differential equation. Considering r = i√13, we have (d^2/dt^2)\((e^(i√13t)) + 13e^(i√13t) = 0.\) Expanding the derivatives and simplifying the equation, we obtain -\(13e^(i √13t) + 13e^(i√13t) = 0\), which confirms that the function e^(i√13t) is a valid eigenfunction corresponding to the eigenvalue i√13. Similarly, substituting r = -i√13 would give the eigenfunction e^(-i√13t).

In summary, the eigenvalue of the given system is ±i√13, and the corresponding eigenfunctions are \(e^(i√13t) and e^(-i√13t).\)

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It is not true that whenever  we add two irrational numbers we get an irrational number.

Since we know a rational number is a number in the form, p/q, where q ≠ 0. Let  take two numbers : 2 + √3 & 2 - √3

The sum of the two numbers be :

= 2 + √3 + 2 - √3

= 4

Here the number is rational, taking another irrational numbers :  2 + √5 & 2 - √3

= 2 + √5 + 2 - √3

= 4 + √5 - √3,  where it is an irrational number.

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Answer:

Should be the third one

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72 |•-•|

Answer: I think it’s the 3rd one.

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72

Hope it helps, have a great day!

Answer:

The answer is C.

Step-by-step explanation:

h(x) = 3x + 2 - 1

Answer:

I think its D

Step-by-step explanation:

Im not positively for sure. but i hope this helps you

Answer:

C

Step-by-step explanation:

The sum of 4x - 3 and 2x + 5 = 6x + 2.

Divide the sum by 2.

The answer is 3x + 1.

Answer:

in this case you can use protector also but

there is another way

Step-by-step explanation:

as we know sum of a triangle is 180 degree

so let's D= 2x,x

35+x+2x=180

3x+35=180

3x=180-35

3x=145

x=145÷3

x =46.06

Answer:

Graph in the image

Step-by-step explanation:

Answer: No you can not make any triangles with 2 inches, 2 inches and 4 inches. hoped this helped!

Step-by-step explanation:

By conducting this regression analysis, you will gain insights into how the "proportion" variable influences the likelihood of being married.

To carry out a regression of the variable "married dummy" on the variable "proportion" and name it as Exhibit 1, you would use statistical software such as R, Python, or Excel. The "married dummy" variable should be coded as 0 or 1, where 0 represents unmarried and 1 represents married individuals. The "proportion" variable represents the proportion of a specific characteristic, such as income or education level.

Using the regression analysis, you can determine the relationship between the "married dummy" variable and the "proportion" variable. The regression model will provide you with coefficients that indicate the magnitude and direction of the relationship.

Since you specifically asked for a long answer of 200 words, I will provide additional information. Regression analysis is a statistical technique that helps to understand the relationship between variables. In this case, we are interested in examining whether the proportion of a certain characteristic differs between married and unmarried individuals.

The regression model will estimate the intercept (constant term) and the coefficient for the "proportion" variable. The coefficient represents the average change in the "married dummy" variable for each one-unit increase in the "proportion" variable.

The regression output will also include statistics such as R-squared, which indicates the proportion of variance in the dependent variable (married dummy) that can be explained by the independent variable (proportion). Additionally, p-values will indicate the statistical significance of the coefficients.

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27 tanks can store \(1.35 \times 10^9\) gallons of oil, written in scientific notation.

Gallon is a unit of volume commonly used in the United States for measuring liquid capacity. One U.S. gallon is equal to 128 fluid ounces, 3.785 liters, or 0.1337 cubic feet.

We have given that:

7 tanks can store \(1.35 \times 10^9\) gallons of oil.

With this information, If one large tank holds \(5 \times 10^7\)gallons of oil, then 27 tanks would hold:

\(5 \times 10^7\) gallons/tank × 27 tanks

= \(1.35 \times 10^9\) gallons

Therefore, 27 tanks can store \(1.35 \times 10^9\) gallons of oil.

Note: When multiplying by a power of 10, we can simply add the exponents of 10 to obtain the final exponent.

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20 since 85 percent of 20 is 17

Answer: it’s easy

here it is: 85 divide by 17!

Step-by-step explanation:

hope it helped.