Dilate triangle ABC by a scale factor of 2 with a center of dilation of (2, 3). A(2, 5), B(-3, 3), C(2, -1)

Inverse functions reverse the mapping, have matching domains and ranges.

Inverse functions are a fundamental concept in mathematics that allows us to "undo" the effects of a given function. When we find the inverse of a function, we reverse the mapping of the original function

. In other words, if the original function maps an input x to an output y, the inverse function maps y back to x. This reversal is what makes inverse functions powerful tools in solving equations and analyzing relationships between variables.

Learn more about Inverse functions

brainly.com/question/30350743

#SPJ11

1. Using Radicals the number √17 has a value of 4.123.

2. √510 =260100.

3. √4x = 2√x.

Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).

When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.

The number that divides the number (dividend) into equal parts is known as the divisor.

1. \(\sqrt{17}\\\) = 4.123 (The values of the number √17 is 4.123.)

2.  √510

= 510^2

=(500+10)^2

=500^2+10^2+2×500×10

=250000+100+10000

=260100.

3. √4x = 2√x.

because 4 = 2*2

Learn more about Radicals Visit: brainly.com/question/1980062

#SPJ4

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

Learn more on the equation of a circle here: https://brainly.com/question/12182614

#SPJ1

The expression representing f(g(x)) is 9x^2 + 6x + 1. We are given two functions, f(x) = x^2 and g(x) = 3x + 1. We are asked to find the expression representing f(g(x)).

To do this, we'll first find g(x) and then substitute it into f(x). Since g(x) = 3x + 1, we'll replace the x in f(x) with g(x). So, we have f(g(x)) = f(3x + 1). Now, we substitute g(x) into f(x). Recall that f(x) = x^2. We'll replace the x with the expression for g(x), which is (3x + 1). So, f(g(x)) = (3x + 1)^2. Now, we can expand the expression (3x + 1)^2 by using the formula (a + b)^2 = a^2 + 2ab + b^2. In this case, a = 3x and b = 1. So, f(g(x)) = (3x)^2 + 2(3x)(1) + (1)^2 = 9x^2 + 6x + 1.

Learn more about substitute here:

https://brainly.com/question/29383142

#SPJ11

The conjugate base of the weak acid hc2h3o2 (acetic acid) can be determined by removing a proton (H+) from the acid molecule. The formula for the conjugate base is C2H3O2- (acetate ion).

The formula for acetic acid (hc2h3o2) suggests that it consists of the elements hydrogen (H), carbon (C), and oxygen (O). To determine the formula of its conjugate base, we remove a proton (H+) from the acid molecule. Removing a proton results in the formation of an anion, which has a negative charge to maintain overall charge neutrality.

The removal of a proton from hc2h3o2 leads to the formation of the acetate ion, which has a formula of C2H3O2-. The C2H3O2- ion is referred to as the conjugate base of acetic acid.

In summary, the formula for the conjugate base of the weak acid hc2h3o2 (acetic acid) is C2H3O2- (acetate ion).

To learn more about acetate ion, click here: brainly.com/question/30030979

#SPJ11

A cone with a height of 9 in and a base diameter of 6 in has the volume 84.78 cubic inches.

The formula for the volume of a cone is:

V = (1/3)π\(r^{2}\)h, where r is the radius of the base and h is the height.

In the question it is given height = 9 in and a base diameter = 6 in.

Radius = diameter/2

r = d/2 = 6/2 = 3 inches

Substituting the values in the formula:

V = (1/3)π\((3\ in)^2\)(9 in)

Simplifying the expression:

V ≈ 84.78 \(in^3\)

Rounding to the nearest hundredth, we get:

V ≈ 84.78 \(in^3\)

Therefore, the approximate volume of the cone is 84.78 cubic inches.

Know more about volume of cone:

https://brainly.com/question/31211180

#SPJ1

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

To know more about annual rate click here

brainly.com/question/6026546

#SPJ4

Yes, a post hoc test should be performed after an ANOVA with three or more levels if the ANOVA finds a significant result.

Post hoc tests are used to determine which specific levels within the factor are responsible for the significant result.

1. An ANOVA is performed to test if there is a significant difference between the means of three or more levels of a factor.

2. If the ANOVA finds a significant result, then a post hoc test should be performed to determine which specific levels within the factor are responsible for the significant result.

3. Post hoc tests compare the means of each level of the factor to determine which levels are significantly different from each other and which are not.

Learn more about anova here

https://brainly.com/question/23638404

#SPJ4

To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

learn more about linear function here:

https://brainly.com/question/21107621

#SPJ11

Answer:

Step-by-step explanation:

Given expression:

Solving for p:

Answer:

Step-by-step explanation:

here you go mate

step 1

- 10p + 3(8 + 8p) = -6(p - 4)  equation

step 2

- 10p + 3(8 + 8p) = -6(p - 4)  simplify by distributing

14p+24=-6p+24

step 3

14p+24=-6p+24  subtract 24 from each sides

20p=0

step 4

20p/20=0/20  divide both sides by 20

answer

p=0

Answer: I hope this helps.

Step-by-step explanation:

Answer:

\( \frac{ \alpha + \beta + \gamma }{ - d} \)

Step-by-step explanation:

If we simplify that fraction, we get

\( \frac{ \alpha + \beta + \gamma }{ \alpha \beta \gamma } \)

Keep that in mind.

If y, a ,b are zeroes of the cubic polynomial, then that means

\((x - \alpha )(x - \beta )(x - \gamma )\)

make up the polynomial.

Notice that leading xoeffeicent will be 1, so the roots will multiply to

\( - d\)

so

\( \alpha \beta \gamma = - d\)

which gives us

\( \frac{ \alpha + \beta + \gamma }{ - d} \)

Proof:

Consider the function

\((x - 2)(x - 3)(x - 5)\)

The roots are 2, 3, 5.

D is -30 so we get

Using the value,

\( \frac{2 + 3 + 5}{ 30} = \frac{1}{3} \)

If we use the orginal equation, we get

\( \frac{1}{6} + \frac{1}{10} + \frac{1}{15} = \frac{10}{30} = \frac{1}{3} \)

Answer:

Hey,mate

Notice that leading xoeffeicent will be 1, so the roots will multiply to

The roots are 2, 3, 5.

\(\sqrt{2} \sqrt{3} \sqrt{5}\)

D is -30

Answer:

C. 516 in2

Step-by-step explanation:

I took the test last week and I got this question corrected

Answer:

x= 15

Step-by-step explanation:

Since this is an isosceles triangle, the other angle is also 5x-6

The sum of the angles of a triangle is 180

42+ 5x-6 + 5x-6 = 180

Combine like terms

10x+30 =180

Subtract 30 from each side

10x+30-30 = 180-30

10x = 150

Divide by 10

10x/10 = 150/10

x= 15

Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

Using proportions, it is found that each out is \(\frac{1}{54}\) of all the outs in a 9-inning baseball game.

Supposing a 9-inning baseball game, each team has the right to 27 outs.

Two teams, thus, there are \(2 \times 27 = 54\) outs.

This means that each out in a game \(\frac{1}{54}\) of all the outs in a 9-inning baseball game.

A similar problem is given at https://brainly.com/question/24342347

The value of k to the nearest integer is 21

If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:

k = 24.7 - (13% of 24.7)

k = 24.7 - (0.135 * 24.7)

k = 24.7 - 3.3345

k = 21.3655

Hence the value of k to the nearest integer is 21

Learn more on decrement here: https://brainly.com/question/24304697

Answer:

I thinks is

A is the best answer

The Poincaré plot of the number of values 4, 3, 10, 5, 12, 1 would be a six-pointed star pattern with the points connected in a circular motion.

The Poincaré plot would look like:

(4, 3)

(10, 5)

(12, 1)

(4, 5)

(3, 12)

(10, 1)

1) Start by plotting the first two values (4, 3).

2) Plot the next two values (10, 5) and (12, 1) below and to the right of the first point.

3) Connect the first point (4, 3) to the next two points (10, 5) and (12, 1).

4) Plot the fourth point (4, 5) to the left and below the first point.

5) Plot the fifth point (3, 12) to the left and above the first point.

6) Finally, plot the sixth point (10, 1) to the right and below the second point.

7) Connect all of the points to complete the Poincaré plot.

The Poincaré plot of the number of values 4, 3, 10, 5, 12, 1 would be a six-pointed star pattern with the points connected in a circular motion.

The complete question is :

By hand, make a poincaré plot of the values 4, 3, 10, 5, 12, 1 and summarize the answer.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer: 2, 6.

Step-by-step explanation:

On edge! If right please mark brainliest!

Answer:

43

Step-by-step explanation:

43 is the answer as

33+20+9=62

105-62=43

Step-by-step explanation:

The perimeter of a quadrilateral is the distance around it

first add all the sides and then equate to the total that they have given you

x+9+33+20=105

x+62=105

x=105-62

x=43

the answer is 43 in

Discouraging consumers from purchasing products from an insurer is referred to as "consumer dissuasion." It involves implementing strategies or tactics to dissuade potential customers from choosing a particular insurance company or its products.

Consumer dissuasion is a practice employed by insurers to discourage consumers from selecting their products or services. This strategy is often used to manage risk by discouraging individuals or groups that insurers perceive as having a higher likelihood of filing claims or incurring higher costs. Insurers may employ various techniques to dissuade potential customers, such as setting higher premiums, imposing strict eligibility criteria, or offering limited coverage options. The purpose of consumer dissuasion is to selectively attract customers who are deemed less risky or more profitable for the insurer, thereby ensuring a healthier portfolio and reducing potential losses. By implementing strategies that discourage certain segments of the market, insurers can manage their risk exposure and maintain profitability. It is important to note that consumer dissuasion practices should adhere to applicable laws and regulations governing the insurance industry, including fair and transparent practices. Insurers are expected to provide clear and accurate information to consumers, enabling them to make informed decisions about insurance coverage and products.

Learn more about insurance company here:

https://brainly.com/question/32110345

#SPJ11

Answer:

B

Step-by-step explanation:

If you make a straight line it would go through the origin and have a constant rate

2x+7x+4x+28

x(x+7)+4(x+7)

(x+4)(x+7)

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

We need to apply Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction for two different media.

Step 1: Calculate the angle of refraction in the first material using Snell's Law.
n1 * sin(i1) = n2 * sin(r1)
1 * sin(60°) = 1.20 * sin(r1)
sin(r1) = 0.5/1.20
r1 ≈ 25.4°

Step 2: Repeat the process for the remaining materials, using the previous angle of refraction as the new angle of incidence. Calculate the final angle of refraction in the last material.

For the second material:
1.20 * sin(25.4°) = 1.40 * sin(r2)
r2 ≈ 21.4°

For the third material:
1.40 * sin(21.4°) = 1.32 * sin(r3)
r3 ≈ 22.9°

For the fourth material:
1.32 * sin(22.9°) = 1.28 * sin(r4)
r4 ≈ 23.3°

Step 3: Calculate the angle of emergence in air.
1.28 * sin(23.3°) = 1 * sin(e)
e ≈ 29.4°

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

Visit here to learn more about beam of light:

brainly.com/question/9054772

#SPJ11

The equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

The equation of a double napped cone is given by:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

Where A, B, C, D, E, F, G, H, J and K are constants.

A plane that is parallel to a generating line of a double napped cone will intersect the cone at a single point, forming a parabola. The equation of a parabola can be written as:

y = ax^2 + bx + c

Where a, b, and c are constants.

We can find a, b and c by substituting the equation of the plane into the equation of the double napped cone.

For example, if the equation of the plane is x + y – z = 3 then we can substitute this into the equation of the double napped cone and solve for the coefficients a, b and c.

Substituting x + y – z = 3 into the equation of the double napped cone:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

We get:

\(Ax^2 + B(x + 3)^2 + C(-x - 3)^2 + K = 0\)

Expanding, we get:

\(Ax^2 + Bx^2 + 6Bx + 9B + Cx^2 - 6Cx - 9C + K = 0\)

Grouping terms and solving for a, b and c, we get:

a = A/B

b = 6/B

c = 9/B + K/B

Therefore, the equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

Learn more about parabola here:

https://brainly.com/question/4074088

#SPJ4

Step-by-step explanation:

first u add in the brackets one

Answer:

y=-8/3x+31/3

Step-by-step explanation:

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

m=(5-(-3))/(2-5)

m=(5+3)/-3

m=8/-3

y-y1=m(x-x1)

y-(-3)=-8/3(x-5)

y+3=-8/3(x-5)

y=-8/3x+40/3-3

y=-8/3x+40/3-9/3

y=-8/3x+31/3