Which translation maps the graph of the function f(x) = x² onto the function g(x) = x² - 6x + 6?
left 3 units, down 3 units
Right 3 units, down 3 units
Left 6 units, down 1 unit
Right 6 units, down 1 unit

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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Answer:

2x-7

-14

3x

x = 1

Step-by-step explanation:

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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Answer: The function, denoted by r(x), exhibits both removable and non-removable discontinuities at certain points on the domain. Specifically, r(x) possesses a removable discontinuity at x = -2, while at x = 3 and x = -5, it displays non-removable discontinuities owing to the existence of vertical asymptotes.

Step-by-step explanation:

Answer:

2 is the absolute mean deviation

Step-by-step explanation:

absolute mean deviation is

the average of the differences of the data from the average

8, 8, 4, 12

1. take the average

8+8+4+12=32 -> 32/4 = 8

2. subtract each number from this average

8 - 8 = 0

8 - 8 = 0

4 - 8 = 4 (there are no negative answers)

12 - 8 = 4

3. take the average of these subtractions

0+0+4+4=8 -> 8/4 = 2

4. answer: 2 is the absolute mean deviation

Answer:

0.12

Step-by-step explanation:

a) A discrete random variable is a variable that can take only a countable number of distinct values, such as 0, 1, 2, 3, 4, and so on.

b) Examples of discrete random variables are the number of children in a family, the number of people who go to the cinema on Friday nights, etc.

c) E(x) = 1/p

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Discrete random variables are used to quantify the results of random experiments. A discrete random variable takes on an infinite number of possible outcomes. In general, discrete random variables can be counted as 0, 1, 2, 3, 4, ...

Geometric Distribution :

The geometric variate is the variate that specifies the number of consecutive failures before the first success in Bernoulli trials. The probability of success of a Bernoulli trial is given by p and the probability of failure is 1 - p.

The Geometric Random Variable can be written as X ~ G(p).

The probability mass function is P(X = x) = (1  - p)ˣ⁻¹ p

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Answer:

-1

Step-by-step explanation:

-3/2 / 9/6

-1.5 / 1.5 = 1

Answer:

Step-by-step explanation:

Check the picture below.

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

Answer:

C

Step-by-step explanation:

I got it correct on a test

5% of 245 is 12.25

245+12.25= 257.25

$257.25

Answer:

angle ABE = 115.5

angle DBE = 25.5

The hοle needs tο be 39 inches deeper.

A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.

The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).

Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:

6 feet - 2.75 feet = 3.25 feet

Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:

3.25 feet x 12 inches/1 fοοt = 39 inches

Therefοre, the hοle needs tο be 39 inches deeper.

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9514 1404 393

Answer:

Step-by-step explanation:

When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:

  2(x +3) = 30 . . . . an equation for the given conditions

__

We can solve this equation by dividing by 2:

  x + 3 = 15

  x = 12 . . . . . . subtract 3

The number is 12.

Answer:

1. consecutive interior angles

2. alternate exterior angles

3. alternate interior angles

4. alternate interior angles

5. alternate exterior angles

6. consecutive interior angles

7. not sure but i think it's corresponding angles

8. alternate interior angles

9. alternate exterior angles

10. corresponding angles

Answer:

[-0.2  0.4]

[0.8   -0.6]

Answer:

Step-by-step explanation:

The angles in matching corners are called Corresponding Angles.

The Corresponding Angles Theorem: If a transversal cuts two parallel lines, their corresponding angles are congruent

Correct answer choice is C.

The missing reason is corresponding angles theorem.

Corresponding angles are angles that have the same relative position or measurement in two similar figures. They are formed when two lines, parallel or not, are intersected by a transversal.

Given that, lines a and b are parallel and line c is a transversal.

We need to prove ∠2 is supplementary to ∠8.

The proof:-

1. a || b, c is a transv.          1. given

2. ∠6 ≅ ∠2                          2. corresponding angles theorem

3. m∠6 = m∠2                     3. def. of congruent

4. ∠6 is supp. to ∠8            4. def. of linear pair

5. ∠2 is supp. to ∠8            5. congruent supplements theorem

Hence the missing reason is corresponding angles theorem.

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Answer:

28.26 inches^2

Step-by-step explanation:

The area of a circle is given by the formula \(A = \pi r^2\).
We know that the diameter of the circle is 6 inches, therefore, its radius 3 inches (the radius is exactly one half of the circle's diameter).

Substituting into the formula

\(A = \pi r^2 \\ \\\to A = \pi \times 3^2 \\ \\\to A = \pi \times 9 = 28.26\)

Answer:

area = 102 ft²

Step-by-step explanation:

(8x6) + (9x6) = 48 + 54 = 102 ft²

Answer:

B and G

Step-by-step explanation:

f(x) = a|x-h|+k

The number inside the absolute value argument "h" represents the x-value of the vertex. For -1, the number inside has to be +1.

k represents the y-value of the vertex, in this case 3.

The only two expressions that have an h value of 1 and k value of 3 are B and G.

Answer:

sin(theta) = 0.9756097561

cos(theta) = 0.2195121951

tan(theta) = 4.4444444444

cosec(theta) = 1.025

sec(theta) = 4.555555556

cot(theta) = 0.225

Step-by-step explanation:

In the triangle ,

Hypotunuse = 205

Perpendicular = 200

Using Pythagorean Theorem here ,

Base = \( \sqrt{ {205}^{2} - {200}^{2} } = \sqrt{2025} = 45\)

We know that

\( \sin(theta) = \frac{opposite}{hypotenue} = \frac{200}{205} \)

\( \cos(theta) = \frac{adjacent}{hypotenuse} = \frac{45}{205} \)

\( \tan(theta) = \frac{opposite}{adjacent} = \frac{200}{45} \)

\( \cosec(theta) = \frac{1}{ \sin(theta) } = \frac{205}{200} \)

\( \sec(theta) = \frac{1}{ \cos(theta) } = \frac{205}{45} \)

\( \cot(theta) = \frac{1}{ \tan(theta) } = \frac{45}{200} \)

The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) \(\frac{dP}{dT}=KP(2400-P)\).

A differential equation is an equation that relates a function and its derivatives to some independent variables. The solution to a differential equation is a function that satisfies the equation and is often used to model physical processes.

Differential equations come in many forms, including ordinary differential equations (ODEs) and partial differential equations (PDEs).

For the population in function of the time, is:

\(\frac{dP}{dT}\)

The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population

Carrying capacity is 2400.

This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity).

=> \(\frac{dP}{dT}=KP(2400-P)\)

Therefore, The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) \(\frac{dP}{dT}=KP(2400-P)\).

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Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

Answer:

14x+41

Step-by-step explanation:

Answer:

14x + 41

Step-by-step explanation:

4(2X - 1) + 3(2X + 15)  distribute the 4 and 3.

8x - 4 + 6x + 45  Combine like terms

14x + 41  This is your answer simplified.

If Marcus, who has 15 T-shirts in his closet, chooses a T-shirt without looking, the probability that it will be white is 20%.

Probability refers to the likelihood or chance that a defined or expected outcome will occur where there are many possible outcomes.

Probability lies between zero and one in most cases, except where the certainty is 100%.

Colors of       Number    Probabilities

T-shirts        of T-Shirts

White                   3              0.2 (3/15)

Gray                    8              0.533 (8/15)

Blue                    2               0.133 (2/15)

Green                 2               0.133 (2/15)

Total                 15

Thus, the probability of choosing a white T-shirt from 15 T-shirts depends on the number of white T-shirts to all T-shirts in the closet, which in this situation, is 20%.

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