find the lcm of given question 2x²and 3y

Answer:

\(\large\boxed{\sf f(x) = x^2-6x+9}\)

Step-by-step explanation:

We are here given a graph of a equation and we are interested in finding the equation .

From the given graph we can see that it cuts the x axis at point (3,0) . This graph represents a quadratic function and its two zeroes are 3,3 . We can write the equation using the two zeroes .

Say if the zeroes of the quadratic equation are p and q , then the quadratic equation can be written as ,

\(\longrightarrow (x-p)(x-q)=0 \)

And the quadratic function can be written as ,

\(\longrightarrow f(x)= k[ (x-p)(x-q)]\)

where k is a constant .In this case k = 1 . So we can write the function as ,

\(\longrightarrow f(x) = (x-3)(x-3)\)

Distribute ,

\(\longrightarrow f(x)= x (x-3)-3(x-3)\)

Simplify by opening the brackets,

\(\longrightarrow f(x) = x^2-3x -3x +9 \)

Add like terms,

\(\longrightarrow \underline{\underline{f(x) = x^2-6x+9}}\)

And we are done!

Answer:

6 up 6 so its 6 over 6

Step-by-step explanation:

Answer:

you gotta add those too and you get the answer

Step-by-step explanation:

True. If the derivative f '(r) exists, it implies that the function f is differentiable at r, which in turn implies the function is continuous at that point. Therefore, the limit of f(x) as x approaches r is equal to f(r).

The derivative of a function f at a point r represents the rate of change of the function at that point. If f '(r) exists, it implies that the function is differentiable at r, which in turn implies the function is continuous at r.

The continuity of a function means that the function is "smooth" and has no abrupt jumps or discontinuities at a given point. When a function is continuous at a point r, it means that the limit of the function as x approaches r exists and is equal to the value of the function at that point, i.e., lim x→r f(x) = f(r).

Since the statement assumes that f '(r) exists, it implies that the function f is continuous at r. Therefore, the limit of f(x) as x approaches r is indeed equal to f(r), and the statement is true.

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Answer:

gyufigaruofhasidjfdskcm

Step-by-step explanation:

h(x) = 2x + 4

let y =h(x)

y = 2x + 4

To find the inverse, we interchange the x and y

x = 2y + 4

we make y the subject of formula.

subtract 4 from both sides of the equation:

x - 4 = 2y + 4 - 4

x - 4 = 2y

DIvide both sides by 2:

(x-4)/2 = 2y/2

(x-4)/2 = y

Hence, the inverse of the function:

Answer:

k = - 4

Step-by-step explanation:

Given

y = 16 - x²

The point (k, 0 ) is a zero. To find the zero let y = 0, that is

16 - x² = 0 ( add x² to both sides )

16 = x² ( take the square root of both sides )

x = ± \(\sqrt{16}\) = ± 4

The zeros are x = - 4 and x = 4

Since (k, 0 ) is to the left of the origin, then k = - 4

Answer:

Step-by-step explanation:

You want the area of a 16-unit circle using different values for pi.

The formula for the area of a circle is ...

  A = πr² . . . . . . where r is half the diameter

For the different values of pi, this will be (in square units) ...

  π(8²) = 64π . . . . exact

  3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low

  22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high

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Answer:

C.

Step-by-step explanation:

The drawing style is from Egypt

The value of the t score for a 95% confidence interval if we take a sample of size 7 is 2.447.

Sample Size:

Sample size is a term used in market research to define the number of subjects included in the sample size. Sample size means the group of subjects selected from the general population and considered representative of the actual population for this particular study.

Sample size Formula:

  S = Z² × P × (1 -P) / M²

where,

S = sample size for infinite population

Z = Z score

P = population proportion

M = Margin of error

According to the provided information :-

Confidence level = 95%

Sample size n= 7

Now,

the level of significance α = 1 - 95% = 0.05

Now,

t-score for α = 0.05 and degrees of freedom,

and, n - 1 = 7 -1 =6

So,

t-score = t(0.05/2,6)

            = 2.4469

            = 2.447

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Answer:

16

Step-by-step explanation:

2x8

Answer:

1 hour and 57 minutes

Step-by-step explanation:

4 and 1/5 in decimal form is 4.2

2 and 1/4 in decimal form is 2.25

4.20-2.25= 1.95 also 1 95/100= 1 19/20

to get 20 to 60 you multiply by 3 so 19*3 is 57/60

also known as 1 hour and 57 minutes

Answer:

I don't know if this helps but I think it's (3t+2)^2

Answer:

C

Step-by-step explanation:

Answer:

(a/b)*(b/a)=1.

Step-by-step explanation:

Answer:

For example, we know that y = − 1 3 x + 5 y=\frac{-1}{3}x+5 y=3−1x+5 is perpendicular to y = 3 x − 2 y=3x-2 y=3x−2 because 3−1, the new slope, is the opposite reciprocal of 3, the original slope

Step-by-step explanation:

Answer: If your simplifying it's: 2x (power of 3) + x (power of 2) + 3x + 12x +2. Dividing would be 2x (power of 2) − 3x + 9 − 6/x+2. Have a nice day ;)

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

456 in³

Step-by-step explanation:

To find the volume of the box, use the volume formula, V = lwh

Plug in the length, width, and height:

V = lwh

V = (9.5)(8)(6)

V = 456

So, the volume of the box is 456 in³

The high school dropout rate in the United States is greater than 25 percent. C. Wright Mills would classify this situation as a societal issue.

This is because societal issues are matters of public concern that affect large numbers of people and require collective action to resolve. The high school dropout rate in the United States is an example of a societal issue because it has widespread implications for both individuals and society as a whole.

According to Mills, a societal issue is one that cannot be attributed solely to the actions of individuals. Instead, it is the result of social structures and processes that operate at a broader level.

For example, the high school dropout rate in the United States is influenced by a variety of factors such as poverty, race, and family background. These factors are not solely determined by the actions of individual students but are instead shaped by broader social forces such as economic inequality and institutional racism.

To address the high school dropout rate, therefore, requires collective action at the societal level. This may involve policy changes, community-based initiatives, or other forms of collective action aimed at addressing the underlying social factors that contribute to the problem.

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Answer:

3?

Step-by-step explanation:

Answer:

Alternate exterior angles

Step-by-step explanation:

x and y are alternate exterior angles.

They are on opposite sides of the transversal and outside the parallel lines.

Alternate exterior angles are congruent, thus x = y

Answer:

The weight of the two goats is 2.08 kg

Step-by-step explanation:

Total avg

Avg of the two goats

Avg of one goat

The critical value for a left-tailed test is -1.28.

Considering the values given in the question,

Level of significance(α) = 0.10

This indicates that the equation is satisfied by the critical value Zc:

P(Z<Zc) = 0.10

This critical value needs to be looked up in a standard normal distribution probability table (or an applet or software).

The value for this critical value is Zc= -1.28

Therefore, A left-tailed test has a critical value of -1.28.

A critical value delimits areas of a test statistic's sampling distribution. Both confidence intervals and hypothesis tests depend on these values. Critical values in hypothesis testing indicate whether the outcomes are statistically significant. They assist in calculating the upper and lower bounds for confidence intervals.

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By answering the presented question, we may conclude that Pythagorean 13.15. Therefore, the measure of the hypotenuse is approximately 13.2 cm

The basic Euclidean geometry relationship between a right triangle's three sides is known as the Pythagorean Theorem. This rule states that the areas of squares with the other two sides added together equal the area of the square with the hypotenuse side. The Pythagorean Theorem states that a right triangle's hypotenuse, which is the side opposite the right angle, equals the sum of its sides. It is sometimes written in general algebraic notation as a² + b² = c.

We can use the Pythagorean theorem to find the length of the hypotenuse of a right triangle:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Substituting the given values, we get:

c² = 13² + 2²

c² = 169 + 4

c² = 173

Taking the square root of both sides, we get:

c = √173

Using a calculator, we get

c ≈ 13.15

Rounding to the nearest tenth, we get:

c ≈ 13.2 cm

Therefore, the length of the hypotenuse is approximately 13.2 cm.

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To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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