What feature or features of the parabolic parent function f(x)=x^2 would change if f(x) was replaced with 2f(x-4)? Help please:)

Answer:

x > 3

Step-by-step explanation:

This is an open circle, meaning there will be no equal sign.

The line is going to the right of 3, meaning x > 3

So, our inequality is x > 3

Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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1: 9 1/3

2: 12 1/2

3: 14 3/4

Step-by-step explanation:

A=BH

H=A/B

B=A/H

B = Base

H = Height

A = Area

Hope this help!

As the ticket prices at an outdoor theatre performance are $2.50 for children and $5.00 for adults. one evening, $6350 is collected from a total of 1900 people attending. There are 640 adult and 1260 childrens.

Given in the questions:

Ticket price in outdoor Theater = $2.50

For Children = $5.00

Total tickets collected in evening = $6350(collected from 1900 people)

Let p be the adult and

1900 - p be the children's who attained the show.

Now,

   2.5 × (1900- p) +5p = 6350

⇒ 4750 - 2.5p +5p =6350

⇒ 2.5p = 1600

⇒ p = 1600/2.5

⇒ p = 640

Since,

p = 640

Therefore,

   1900 - p = children

⇒ Children = 1900 - 640

⇒ Children = 1260

Therefore, there are total 640 adults and 1260 children's in the theater.

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Therefore, if the null hypothesis is rejected, the evidence supports the alternative hypothesis. This means that the test results provide enough evidence to conclude that the alternative hypothesis is more likely true than the null hypothesis.

In hypothesis testing, if the null hypothesis is rejected, it means that there is sufficient evidence to support the alternative hypothesis. A null hypothesis is a statement that there is no significant difference or relationship between variables, while the alternative hypothesis states that there is a significant difference or relationship. To determine if the null hypothesis is true or not, we conduct a statistical test and calculate the p-value. If the p-value is less than the level of significance, usually set at 0.05, we reject the null hypothesis and accept the alternative hypothesis. Therefore, the correct answer is that the evidence supports the alternative hypothesis. This means that we have found significant results that support our research hypothesis.
Keep in mind that rejecting the null hypothesis does not prove the alternative hypothesis, but it does suggest that it's more plausible based on the data collected.

Therefore, if the null hypothesis is rejected, the evidence supports the alternative hypothesis. This means that the test results provide enough evidence to conclude that the alternative hypothesis is more likely true than the null hypothesis.

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well, let's move like the crab, backwards, let's start with b), then we'll do a)

b)

\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)

\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)

a)

\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)

In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

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The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

Answer:

18 units

Step-by-step explanation:

(-4 , 10) and (-4, -8)

Distance = \(\sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\)

              \(= \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18\)

After solving the given expression we get  a = b = 12 and q = r = 24.

A fractiοn is a numerical quantity that represents a part οf a whοle οr a ratiο between twο quantities. It is written as a tοp number (numeratοr) οver a bοttοm number (denοminatοr), separated by a hοrizοntal line.

Tο subtract 2/3 - 1/4, we need tο find a cοmmοn denοminatοr fοr the twο fractiοns. The smallest cοmmοn denοminatοr is 12, sο we'll cοnvert each fractiοn tο an equivalent fractiοn with a denοminatοr οf 12:

2/3 = 8/12 (multiply bοth numeratοr and denοminatοr by 4)

1/4 = 3/12 (multiply bοth numeratοr and denοminatοr by 3)

Nοw we can subtract the twο fractiοns:

8/12 - 3/12 = 5/12

Sο 2/3 - 1/4 = 5/12.

Tο express the result as a fractiοn in the fοrm x/y, we can simply use the answer we fοund: x = 5, y = 12, sο:

2/3 - 1/4 = 5/12 = 5/12

Similarly, tο express the result as a fractiοn in the fοrm a/b, we need tο find anοther equivalent fractiοn with a cοmmοn denοminatοr. We can use 24 as a cοmmοn denοminatοr this time:

2/3 = 16/24 (multiply bοth numeratοr and denοminatοr by 8)

1/4 = 6/24 (multiply bοth numeratοr and denοminatοr by 6)

Nοw we can subtract the twο fractiοns:

16/24 - 6/24 = 10/24

Sο 2/3 - 1/4 = 10/24.

Tο express the result as a fractiοn in the fοrm a/b, we can simplify the fractiοn by dividing bοth numeratοr and denοminatοr by their greatest cοmmοn factοr, which is 2:

10/24 = (10 ÷ 2) / (24 ÷ 2) = 5/12

Sο we get a=b=12 and q=r=24.

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Answer:

\(y=-\frac{4}{3}x+1\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(y=\frac{3}{4} x - 6\)

Looking at the given equation, we can identify clearly that \(\frac{3}{4}\) is in the place of m, making it the slope of the line. Because perpendicular lines always have slopes that are negative reciprocals, we know that the slope of the line we're solving for will be \(-\frac{4}{3}\). Plug this into \(y=mx+b\):

\(y=-\frac{4}{3}x+b\)

2) Determine the y-intercept (b)

\(y=-\frac{4}{3}x+b\)

Plug in the given point (-3,5)

\(5=-\frac{4}{3}(-3)+b\\5=4+b\)

Subtract 4 from both sides

\(5-4=4+b-4\\1=b\)

Therefore, the y-intercept is 1. Plug this back into \(y=-\frac{4}{3}x+b\):

\(y=-\frac{4}{3}x+1\)

I hope this helps!

Answer:

-6,-3,0,1,5

Step-by-step explanation:

u don't need an explanation for this, right?

Step-by-step explanation:

The answer is mentioned above.

Hope it helps.

After 6 million years, 25 percent of the radioactive isotope will be left.

The half-life of a radioactive isotope is the time it takes for half of the initial amount of the isotope to decay. In this case, the half-life is 3 million years. After the first half-life, half of the isotope will remain, which is 50 percent. After another 3 million years (a total of 6 million years), another half-life will have passed. Therefore, half of the remaining 50 percent will decay, leaving 25 percent of the original isotope.

To understand this further, let's consider the decay process. After the first 3 million years, 50 percent of the isotope will have decayed, leaving 50 percent. Then, after the next 3 million years, another 50 percent of the remaining isotope will decay, resulting in 25 percent remaining (50 percent of the original amount). This exponential decay pattern continues as each successive half-life cuts the remaining amount in half.

Therefore, after 6 million years, 25 percent of the radioactive isotope will be left, while 75 percent will have undergone radioactive decay.

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Answer:

D) -298

Step-by-step explanation:

Hope it helps!

The sum of the terms from 12 to 15 is equivalent to -

S{n} = - 298.

Given is the arithmetic sequence as follows -

88, 75, 62, 49 ....

Now, we can write -

a{12} = 88 + (12 - 1)(- 13) = 88 - 13 x 11 = 88 - 143 = - 55

a{13} = - 55 - 13 = - 68

a{14} = - 68 - 13 = - 81

a{15} = - 81 - 13 = - 94

The sum of the terms 12 to 15 will be -

- 55 + (- 68) + (- 81) + (- 94)

- 55 - 68 - 81 - 94

- 298

Therefore, the sum of the terms from 12 to 15 is equivalent to -

S{n} = - 298.

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Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).

To answer this question, we need to use the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:

(x - h)^2 + (y - k)^2 = 10^2

We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:

(y - k)^2 = 10^2 - (x - h)^2

y - k = ±√(10^2 - (x - h)^2)

k = y ±√(10^2 - (x - h)^2)

Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:

k = y

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Answer:

148 feet

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

542 feet = Length + Length + 123 feet + 123 feet

2 Lengths = 542 feet - 123 feet - 123 feet = 296

1 Length = \(296\ feet\div2=148\ feet\)

The length of the yard is 148 feet.

Answer:

\( 62.8 \: {m}^{2} \)

Step-by-step explanation:

Radius of outer circle = 6 m

Width of the track = 2 m

So, radius of inner circle = 6 - 2 = 4 m

Area of the track = Area of outer circle - Area of inner circle

\( = \pi {6}^{2} - \pi {4}^{2} \\ \\ = \pi( {6}^{2} - {4}^{2} ) \\ \\ = 3.14 \times (36 - 16) \\ \\ = 3.14 \times 20 \\ \\ = 62.8 \: {m}^{2} \)

∠MHL and ∠MHJ are supplementary angles that is some of the measure of both angle is 180°, because these angle are on a line.

∠MHL + ∠MHJ = 180°

substituting values.

⟹ (2m + 10)° + (5m + 100)° = 180°

⟹ 5m + 2m + 10 + 100 = 180°

⟹ 7m + 110 = 180°

⟹ 7m = 180° - 110°

⟹ 7m = 70°

⟹ m = 70/7

⟹ m = 10

m = 10°

measure of ∠MHL is

⟹ (2m + 10 )°

⟹ 2(10°) + 10°

⟹ 20° + 10°

⟹ 30°

∠MHL = 30°

\(\red{\large\boxed{Mark\: Brainleist\: please ! }}\)

Answer:

u should put this also in English then type it in so it will translate

Using the exterior angle theorem which involves the use of two interior angles in the polygon, the value of angle ACD in the triangle is 150 degrees

An exterior angle of a polygon is an angle that is formed outside of the polygon by extending one of its sides. It is the supplementary angle of an interior angle.

Exterior angle theorem states that the sum of two interior angles is equal to one exterior angle.

Using that theorem in this problem;

∠ACD = 33 + 117

∠ACD = 150°

The value of angle ACD in the triangle is equal to 150 degrees

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Answer:

3 cupcakes

Total of $56

Step-by-step explanation:

First we would need to create an expression for the total of each bakery, which would be the following with x representing the number of cupcakes.

2x + 50

4x + 44

Since we know that the total for both bakeries was the same we can simply make the expressions equal to one another and solve for x.

2x + 50 = 4x + 44  ... subtract 2x on both sides

50 = 2x + 44  ... subtract 44 on both sides

6 = 2x   ... divide both sides by 2

3 = x

Finally, we can see that at 3 cupcakes the total for both bakeries will be the same and be a total of

2(3) + 50

6 + 50

$56

To solve the given linear program, we'll use the simplex method. Let's label the constraints as (a), (b), and (c).

The objective function is: max 3x + 2y

Subject to the constraints:

(a) 2x + 2y < 8

(b) 3x + 2y < 12

(c) x + 0.5y < 3

(d) x, y > 0

We need to convert the inequalities into equations:

(a) 2x + 2y = 8

(b) 3x + 2y = 12

(c) x + 0.5y = 3

We can rewrite constraint (c) as: 2x + y = 6 for convenience in the calculations.

Z | -3 | -2 | 0 | 0 | 0 | 0 |

s1 | 2 | 2 | 1 | 0 | 0 | 8 |

s2 | 3 | 2 | 0 | 1 | 0 | 12 |

s3 | 2 | 1 | 0 | 0 | 1 | 6 |

The initial tableau represents the maximization problem, with the objective function coefficients in the Z row, the variables x, y, and the slack/surplus variables (s1, s2, s3) in the columns, and the right-hand side values in the b column.

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Solution

Given

Hence the LCM is

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer:

8$/lb

Step-by-step explanation:

because 8 x 5 is 40 there for each pound would be 8$ if there are 5 pounds

Yes, 8.546 = 8546/1000.

Remember that a rational number is the ratio between two integers. So any integer, like 8, is also a rational number because it's the ratio between the two integers 8 and 1:

8 = 8/1

So we have

8.546 = 8 + 0.546

= 8/1 + 546/1000

= 8000/1000 + 546/1000

= 8546/1000

Answer:

no

Step-by-step explanation:

To determine if x = 7 is a solution.

Substitute x = 7 into the equation and if left side equals right side then it is a solution

3(7) - 4 = 21 - 4 = 17 ≠ 15

Then x = 7 is not a solution to the equation

No, x = 7 is not the solution of Equation 3x - 4 = 15

An Equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that an Equation 3x - 4 = 15

Solving x = 7 we get,

3*7 - 4 = 21 - 4 = 17

17 ≠ 15

Hence, x = 7 is not a solution of the given Equation.

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