5. The equation y = 1/3(x-6)² + 6 is shifted 3 units to the left and 7 units up.
What is the value of h in the new equation?
A.-6
B. -3
C. 13
D. 3

b. The matrix is invertible. The given matrix has 4 pivot positions. this is correct statement.

To determine if the matrix is invertible, we need to check if it is a square matrix and if its columns form a linearly independent set.

The given matrix is a square matrix, as it has the same number of rows and columns (4x4).

To check if its columns form a linearly independent set, we can perform row reduction or look for pivot positions. In this case, by observing the matrix, we can see that it has 4 pivot positions, which means that the columns form a linearly independent set.

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Answer:

Q:2)

Given that,

To describe the end behaviors of the function modeled by the graph,

f(x)=−3x+2−2

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Here,

The function given is,

f(x) = -3x + 2 - 2

Given function contains equality so the function has no boundaries and the function is described from negative infinity to positive infinity, But the function has inverse behavior as when x is negative the function is positive and when x is positive function is negative.

Thus, for the given function, as x increases without bound, f(x) decreases without bound. Option D is correct.

Q3: B

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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The number of elements in set f is 161, in the union of sets e and f is 194 and the complement of set u has zero elements.

Based on the given information, we can use the formula for calculating the number of elements in a set union:

n(e ∪ f) = n(e) + n(f) - n(e ∩ f)

Using the values given, we can rearrange the formula to solve for n(f):

n(f) = n(e ∪ f) - n(e) + n(e ∩ f)

Plugging in the values, we get:

n(f) = 194 - 106 + 73 = 161

Therefore, the number of elements in set f is 161.

Next, we can use the formula for calculating the number of elements in a set intersection:

n(e ∩ f) = n(e) + n(f) - n(e ∪ f)

Using the values given, we can rearrange the formula to solve for n(e ∪ f):

n(e ∪ f) = n(e) + n(f) - n(e ∩ f)

Plugging in the values, we get:

n(e ∪ f) = 106 + 161 - 73 = 194

Therefore, the number of elements in the union of sets e and f is 194.

Finally, we can use the formula for calculating the complement of a set:

n(U\A) = n(U) - n(A)

Using the values given, we can plug in and solve for the complement of set u:

n(U\U) = n(U) - n(U) = 0

Therefore, the complement of set u has zero elements.

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Using linear functions, we have that:

A.

For Company A: \(S_A(n) = 31000 + 3000n\)

For Company B: \(S_B(n) = 38000 + 2000n\)

B. The salaries will be the same after 7 years.

A linear function is given by:

\(y = mx + b\)

In which:

Item a:

\(S_A(n) = 31000 + 3000n\)

\(S_B(n) = 38000 + 2000n\)

Item b:

\(S_A(n) = S_B(n)\)

Then

\(31000 + 3000n = 38000 + 2000n\)

\(1000n = 7000\)

\(n = \frac{7000}{1000}\)

\(n = 7\)

The salaries will be the same after 7 years.

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Answer:

the amswer would be 10x10=100

Answer:

100 10x10+100 ez

Step-by-step explanation:

The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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The value of trignometric function sin(2x) is 2√24/25, cos(2x) is -23/25 and tan(2x) is  -10/9

Using the given information, we can determine that sin(x) = -√24/5 and cos(x) = √1-24/25 = √1/25 = 1/5.

To find sin(2x), we can use the double angle formula: sin(2x) = 2sin(x)cos(x) = 2(-√24/5)(1/5) = -2√24/25.

To find cos(2x), we can use the double angle formula: cos(2x) = cos²(x) - sin²(x) = (1/25) - 24/25 = -23/25.

To find tan(2x), we can use the identity: tan(2x) = (2tan(x))/(1-tan²(x)) = (2(-1/5))/(1-1/25) = -10/9.

In summary, sin(2x) = -2√24/25, cos(2x) = -23/25, and tan(2x) = -10/9. These calculations were made using the double angle formula and the identity for tan(2x).

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The three ways that the expression can be written as a ratio is 96 : 38, 38 : 96 and 48 : 19.

96 : 38 is the same as 38 ; 96 because the ratios mean the same thing.

The ratio of sci-fi movies to comedy movies is 38 : 46.

The ratio in the simplest form is 19 : 23.

Ratio expresses the relationship between two numbers. It shows the number of times that one value is contained within other value. The sign used to represent ratio is :.

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Answer: Let's call the length of the main supporting arm AP = x.

We can use the Pythagorean theorem to find the length of the cable dropping from point A to the ground:

c^2 = x^2 + (46 - 96 + 215)^2

c^2 = x^2 + (175 - 50)^2

c^2 = x^2 + 125^2

c^2 = x^2 + 15625

Since the angle between the main supporting arm and the horizontal is 55°, we can use the trigonometric relationship between the length of the opposite side (the cable) and the length of the adjacent side (the main supporting arm) to find x:

tan 55° = c / x

x / c = tan 55°

x / 215 = tan 55°

x = 215 * tan 55°

The value of x can be calculated using a scientific calculator or by using a table of tangent values. To the nearest centimetre, x = 204 cm.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

p.s i am emo

The required explanation of null hypothesis and alternate hypothesis for given question is below.

Hypothesis testing is a type of measurable derivation that utilizes information from an example to make inferences about a populace boundary or a populace likelihood circulation. Initial, a speculative supposition that is made about the boundary or dissemination.

Connection is a factual measure that communicates the degree to which two factors are directly related (meaning they change together at a consistent rate).

It's a typical device for portraying basic connections without saying something about circumstances and logical results.

As indicated by the inquiry,

A gathering of researcher haphazardly chose 20 Piknits from the ocean bottom and estimated their particular loads in grams.

Likewise, They were curious as to whether the weight of the Piknits can be utilized to foresee the quantity of Gogles.

From the given data,

Null hypothesis : H0 : There is no direct connection between the heaviness of piknits and the quantity of gogles

Alternative hypothesis : Ha: There is a direct connection between the heaviness of piknits and the quantity of gogles

Choice 4 is right about Null hypothesis and Alternative hypothesis.

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Step-by-step explanation:

1)3(x+15)=57

3x+45=57

3x=57-45

3x=12

x=12/3.

x=4

2)2(x-9)=26

2x-18=26

2x=26+18

2x=44

x=44/2

x=22

3)4(x-12)=-32

4x-48=-32

4x=-32+48

4x=+16(greater number sign)

x=16/4

x=4

Answer:

10 x 11 to the 10th power

Step-by-step explanation

After selling x pints of Boldly Buttered Popcorn icecream and y pints of Lovely Lavender Lemon on the charged of $10 for each, his profit equation is written as P = 6x + 6y = 6( x + y).

We have, Mr. McCoy's new ice cream shop. He sold two flavors of icecream. He sold his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. The quantity of sold Boldly Buttered Popcorn ice cream = x pints

The quantity of sold Lavender Lemon ice cream = y pints

Cost of each pint of ice cream = $4

Selling price of each pint of ice cream

= $10

First, total pints of icecream he sold

= pints of Boldly Buttered Popcorn ice cream+ pints of Lavender Lemon ice cream = ( x + y) pints

Now, Cost of (x + y) pints of ice cream

= $4 ( x + y)

Similarly, selling price of ( x + y ) pints of icecream = $ 10 ( x + y)

As we know, when selling price is greater than cost price then profit will occur. Equation for profit P = selling price - cost price = $ 10 ( x + y) - $4 ( x + y)

= 10 x + 10y - 4x - 4y

P = 6(x + y)

Hence, required equation is 6x + 6y.

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Complete question:

Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each. Write an equation for his profit or loss on ice cream selling.

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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Let T: R² → R² be a linear  transformation that maps e1 = [1 0] and e2 = [0 1] into y1 = [2 5] and y2 = [-1 6] respectively.

So, T(e1) = y1 and T(e2) = y2.

Now, we need to find the images of [5 -3] and [x1 x2]. [5 -3] can be expressed as 5e1 - 3e2.

Therefore, T([5 -3]) = T(5e1 - 3e2) = 5T(e1) - 3T(e2) = 5y1 - 3y2 = [19 -7].

Similarly, let's say [x1 x2] is a vector in R².

Then [x1 x2] = x1e1 + x2e2. So, T([x1 x2]) = T(x1e1 + x2e2) = x1T(e1) + x2T(e2) = x1y1 + x2y2 = [2x1 - x2 5x1 + 6x2].

Therefore, the image of [5 -3] under T is [19 -7], and the image of [x1 x2] under T is [2x1 - x2 5x1 + 6x2].

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Answer:

24

Step-by-step explanation:

The range is the biggest number subtracted by the smallest number.

45-21=24

I hope this helped <3

By cancelative property, the roots of quadratic equation x² + 4 · x - 20 are: Exact: - 2 + 2√6, - 2 - 2√6, Approximate: 2.899, -6.899.

In this problem we must factorize a quadratic equation and use an algebraic property known as cancelative property, defined as:

If a · b = 0, then a = 0 or b = 0.

In addition, we can apply the following factorization rule:

x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)

First, factorize the quadratic equation:

x² - (- 2 + 2√6 - 2 - 2√6) · x + (- 2 + 2√6) · (- 2 - 2√6)

(x + 2 - 2√6) · (x + 2 + 2√6)

Second, apply cancelative property:

x + 2 - 2√6 = 0

x = - 2 + 2√6

x + 2 + 2√6 = 0

x = - 2 - 2√6

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The range that satisfies the given situation is option c (96, 88, 80, 72, 64, 56, 48)

Given,

For the golf team at the school, a coach has 96 golf balls. Each member of the squad will receive 8 golf balls from the coach. The graph displays the linear relationship between x, the number of team members, and y, the quantity of golf balls left.

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

We have to find the suitable range that satisfies the situation from the given options;

Then,

The range that satisfies the given situation is option c (96, 88, 80, 72, 64, 56, 48)

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Answer:

A, C, E

Step-by-step explanation:

You would want to graph the points an if the line goes through them then that would be the answer

The probability that any individual sampled at random from this population would have a length of 40 mm or larger is: 1 - 0.9082 = 0.0918 or approximately 9.18%.

To calculate the probability that any individual sampled at random from this population would have a length of 40 mm or larger, we need to use the normal distribution function.

Let's assume that the lengths of the organisms follow a normal distribution with mean μ = 36 mm and standard deviation σ = 3 mm.

So, the z-score corresponding to 40 mm is:

z = (x - μ) / σ

z = (40 - 36) / 3

z = 4 / 3

Using a standard normal distribution table or calculator, we can find that the probability of a random variable being less than or equal to a z-score of 4/3 is 0.9082.

Therefore, the probability that any individual sampled at random from this population would have a length of 40 mm or larger is:1 - 0.9082 = 0.0918 or approximately 9.18%.

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Round to the nearest hundredth is 4.23 quarts.

To convert 4 liters (L) to quarts (qt), you need to know the conversion factor between the two units. There are approximately 1.057 quarts in 1 liter.

To complete the conversion, simply multiply the given amount in liters by the conversion factor:

4 L * 1.057 qt/L ≈ 4.228 qt

So, 4 liters is approximately equal to 4.23 quarts when rounded to the nearest hundredth.

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Answer: If you mean simplify then here: 20d+5f+5h

Step-by-step explanation:

Use distributive property to remove the parentheses.

20d+5f+5h

Please give brainliest

Answer:

6 is the answer u can use trignomatry

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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A modified version of the original distribution, the sampling distributive of y(1) has an upper bound equal to the minimum value in the sample and a lower bound of 0.

Let y1,..., yn have an f-distribution and be independently and identically distributed (iid) (y).

Ascertain the y(1) = min I yi sampling distribution. The sampling distribution of y(1) has a lower bound of 0 and an upper bound that is equal to the minimum of the sample yi. It is a truncated distribution of the original distribution f(y).

By integrating the initial distribution f(y) from 0 to the minimum of the sample yi, get the probability of each value of y(1).

A reduced version of the original distribution f(y), with a lower bound of 0 and an upper bound equal to the minimum of the sample yi, is the sampling distribution of y(1). We must integrate the initial distribution f in order to calculate this distribution (y)

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