Consider the linear function f(x)= 3x - 1.
Find the value of x when f(x)=-4, f(x)=8, f(x)=0.

The required, vertex of the parabola is at approximately (9, -100).

A parabola is a cross-section cut out of the cone and represented by an equation.

Here,
To find the roots and vertex of the quadratic function y = x² - 18x - 19 on a calculator, you can use the following steps:

Enter the function into your calculator, typically by pressing the "y =" button and typing the function.

Use the "2nd" button (or another button designated for second functions) and the "graph" button to view the graph of the function.

Use the "trace" or "zero" function on your calculator to find the roots of the function. The "trace" function allows you to move a cursor along the graph to see where it crosses the x-axis (where y = 0), which gives you the x-coordinates of the roots. The "zero" function specifically finds the x-coordinates where the graph crosses the x-axis.

To find the vertex of the parabola, use the "vertex" or "minimum/maximum" function on your calculator. The "vertex" function should display the x-coordinate and y-coordinate of the vertex directly, while the "minimum/maximum" function should display the minimum or maximum value of the function, which corresponds to the y-coordinate of the vertex.

Using these steps on a calculator, we find that the roots of the function are approximately x = -1.097 and x = 19.097,

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The mean for the number of people with the genetic mutation in groups of 800 is 48.

The mean for the number of people with the genetic mutation in a group of 800 can be calculated using the formula:

Mean = (Probability of success) * (Sample size)

In this case, the probability of success is the proportion of the population with the genetic mutation, which is given as 6% or 0.06. The sample size is 800.

Mean = 0.06 * 800

Mean = 48

Therefore, the mean for the number of people with the genetic mutation in groups of 800 is 48.

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Answer: x= -1, 3, 0

I know these are right because I just took the test

The given expression is undefined for the values -1,3 and 0.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression is \(\dfrac{x-1}{x^2-2x-3}+\dfrac{5}{2x^2+2x}\).

The expression is not defined as points -1,3 and 0 check all the points.

At x = - 1

\(E=\dfrac{-1-1}{(-1)^2-2(-1)-3}+\dfrac{5}{2(-1)^2+2(-1)}\\E=\dfrac{-2}{0}+\dfrac{5}{0}\)

The expression is not defined. Similarly, you can check for points 3 and 0 the expression is not defined.

Therefore, the given expression is undefined for the values -1,3 and 0.

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The standard median value of the data set is -0.25.

The standard value of any data is the converted value of the variable, such that the mean of the data set is 0 and the standard deviation is 1.

To convert any data set to its standard form we use the equation

(X - μ)/σ

where,

μ = mean

σ = standard deviation

here,

μ = 6

σ = √64 = 8

Now median is that value which gives the midpoint of the frequencies.

Hence the standard median should be the standard value of the median obtained from the data set which is 4

Hence standard median

= (4 - 6)/8

= -2/8

= -0.25

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Answer:

625, 125, 25, 5

Step-by-step explanation:

390625, 78125, 15625, 3125

We need to find out the relationship between a number and the previous number.

We can tell that there is no common difference since 78125 - 390625 cannot possibly equal 3125 - 15625.

We can try to check if this is a geometric sequence.

78125/390625 = 0.2

15626/78125 = 0.2

3125/15625 = 0.2

Each number is 1/5 of the previous number.

3125/5 = 625

625/5 = 125

125/5 = 25

25/5 = 5

Answer: 625, 125, 25, 5

A Type II error is when you fail to reject the null hypothesis when it is actually false. In this case, a Type II error would be to conclude that the true mean level of support for sustainability is 70 when, in fact, the mean is not equal to 70 (similar to option D, but specifically for a Type II error).

a. The null and alternative hypotheses for testing this claim are:
Hou = 70 (the true mean level of support for sustainability is 70)
Hau < 70 (the true mean level of support for sustainability is less than 70)

b. A Type I error is the rejection of the null hypothesis when it is actually true. In this problem, a Type I error would be to conclude that the true mean level of support for sustainability is less than 70 when, in fact, the true mean is equal to 70.
A Type II error is the failure to reject the null hypothesis when it is actually false. In this problem, a Type II error would be to conclude that the true mean level of support for sustainability is equal to or greater than 70 when, in fact, the true mean is less than 70.

Therefore, the correct answer is A. A Type I error would be to conclude that the true mean level of support for sustainability is not 70 when, in fact, the mean is equal to 70.
a. For this problem, the null and alternative hypotheses are:
Hou = 70 (the true mean level of support for sustainability is 70)
Hau ≠ 70 (the true mean level of support for sustainability is not 70)
b. A Type I error is when you reject the null hypothesis when it is actually true. In this case, a Type I error would be to conclude that the true mean level of support for sustainability is not 70 when, in fact, the mean is equal to 70 (option A).

A Type II error is when you fail to reject the null hypothesis when it is actually false. In this case, a Type II error would be to conclude that the true mean level of support for sustainability is 70 when, in fact, the mean is not equal to 70 (similar to option D, but specifically for a Type II error).

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The value of y in the equation is y = x / 100.

Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.

Therefore, let's make y the subject of the formula in the equation x = 100y.

Hence, we will find y in terms of x.

Therefore,

x = 100y

divide both sides of the equation by 100

100y  / 100 = x / 100

y = x / 100

Therefore,

y = x / 100

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Answer:

8 x^9y^4

Step-by-step explanation:

blank / 1/2 x^3 = 16x^6y^4

blank = 1/2 x^3 * 16 x^6 y^4

= 1/2 * 16 * x^3 x^6 y^4

= 8 x^(6+3) y^4

= 8 x^9y^4

Answer:

I think 16. look at the picture

Step-by-step explanation:

hope it's help

To determine the dimensions of the flyer that will result in the maximum printed area, we can use the concept of optimization.

Let's assume the width of the flyer is x inches and the height of the flyer is y inches. We are given that the top and bottom margins are 1 inch each, and the side margins are 1/2 inch each.

The printable area of the flyer is given by the product of the width and height minus the margins. So, the area is given by:

A = (x - 2 * (1/2)) * (y - 2 * 1)

A = (x - 1) * (y - 2)

We are also given that the area of the flyer should be 32 in². So, we can write the equation:

(x - 1) * (y - 2) = 32

Now, we need to maximize the area A, which means we need to maximize the expression (x - 1) * (y - 2).

To find the maximum, we can take the partial derivatives of A with respect to x and y and set them equal to zero:

∂A/∂x = y - 2 = 0

∂A/∂y = x - 1 = 0

Solving these equations, we find x = 1 and y = 2.

Therefore, the dimensions of the flyer that will result in the maximum printed area are x = 1 inch (width) and y = 2 inches (height).

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Answer:

C

Step-by-step explanation:

To find the angle measured counterclockwise from the x-axis to vector A, we can use the inverse tangent function. The formula is:

θ = arctan(Ay/Ax)

Using the given values, we have Ax = +3.1 and Ay = -8.8. Substituting these values into the formula, we get:

θ = arctan((-8.8)/(3.1))

Using a calculator, we find:

θ ≈ -70.84 degrees

Since we are looking for the angle measured counterclockwise, we need to find the positive equivalent of -70.84 degrees. Adding 360 degrees to -70.84 degrees gives us:

θ ≈ 289.16 degrees

Therefore, the angle measured counterclockwise from the x-axis to vector A, to the nearest whole degree, is 289.

In conclusion, the closest angle measured counterclockwise from the x-axis to vector A is 289 degrees.

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Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

Answer:

The measure of arc BD is the SUM of the measures of the two parts, arcs BC and CD: m arc BD = m arc BC + m arc CD The degree measure of an arc is the same as the degree measure of its central angle. The central angle for arc CD has a measure of 90 degrees, so this is also the measure of arc CD

Step-by-step explanation:

Answer: A and B are correct

Step-by-step explanation: You just multiply the numbers and they both equal -1.12

The equation of each line in slope‐intercept form are y = -4x+2 and y = -x+4

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

GIven are two graphs of lines, we need to find the slope‐intercept form of the lines,

We know that, the slope‐intercept form of the line is given by:

y = mx+c, where m is slope and c is the y-intercept,

m = y₂-y₁ / x₂-x₁

1) The line is passing through two points (0.5, 0) and (0, 2) :-

y-0 = 2-0 / 0-0.5 (x-0.5)

y = -4(x-0.5)

y = -4x+2

2) The line is passing through two points (4, 0) and (0, 4) :-

y-0 = 4-0 / 0-4 (x-4)

y = -1(x-4)

y = -x+4

Hence, the equation of each line in slope‐intercept form are y = -4x+2 and y = -x+4

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Answer:

that is a great question, could u explain more? im serious

Step-by-step explanation:

Answer:

The large squares represent X squared, and had two sides, blue and red, to determine whether it is positive or negative (blue = positive, red = negative). There is also the long rectangles that represent X, with the positive side being green and the negative red. The side length of X is the same side length of X squared, which makes sense because X multiplied by X equals X squared. The smallest square pieces represent the number 1. The colours are yellow for positive and red for negative. These are the basic pieces used in algebra tiles. Hope this helps

Step-by-step explanation:

Answer:

√ 80/16=t t=0.5590169943749474

Step-by-step explanation:

The function h(t) = -16t^2 + 70 is a quadratic function, and the stick hits the ground at about 2.092 seconds

Here, we have,

to determine the time it hits the ground:

The function is given as:

h(t) = -16t^2 + 70

Next, we plot the graph of the function h(t)

From the graph of the function h(t) (see attachment), we have the following highlight:

t = -2.092 and t = 2.092 when h(t) = 0

Time cannot be negative.

So, we have:

t = 2.092

This means that the stick hits the ground at about 2.165 seconds

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The environment changed in such a way that, "guppies with small spots had a better chance of survival and reproduction, leading to an increase in their population and a decrease in the population of guppies with large spots".

Over many generations, guppies with small spots had a survival advantage in the river because the rocks on the river bottom became smaller. This made guppies with small spots harder for larger fish to see and catch, increasing their chances of survival and reproduction.

As a result, more guppies with the small spot gene passed it on to their offspring, leading to an increase in the population of guppies with small spots. At the same time, the population of guppies with large spots decreased as they were more visible to predators and had a lower chance of survival. This process of natural selection led to a change in the frequency of different traits within the population of guppies.

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Answer:

  SL = 2.1 miles

Step-by-step explanation:

Given ∆LRS with RS extended to point T, and angles R = 35° and exterior angle LST = 70°, you want the measure of SL. You want to apply the process to finding distance to shore.

The exterior angle LST is the sum of interior angles SRL and SLR. In equation form, this is ...

  ∠LST = ∠SRL +∠SLR

  70° = 35° +∠SLR

  ∠SLR = 35°

The angles at either end of segment LR are both 35°, so the triangle is isosceles. That means sides SR and SL are congruent:

  SL = SR = 2.1 miles

The distance from the boat to the lighthouse has been found using an isosceles triangle. A similar method can be used to find the distance to shore. It requires the captain to be able to identify a point on shore, and measure the distance traveled parallel to the shore.

By using a 45° angle to start, and a 90° angle at the second measurement, the distance traveled between angle measurements will be exactly the (closest) distance to shore from the point of the second measurement.

Other angle measures can be used with trigonometric methods.

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130

Answer:

GPA stands for grade point average. the highest you can get is 4.5. There is no such things as a 95 GPA. To calculate, take the number or point per grade you have, A is 4.0, B is 3.0, C is 2.0, and so on, and add them all up and then divide by the number of classes you are taking.

Step-by-step explanation:

Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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Answer:x=9/4 nine over 4 for improper fraction I hope this is helpful mark me brainlist if this sounds good

Step-by-step explanation:

7(x-1)=3x+2

Distribute through the parentheses

7x-7=3x+2

Move the variable to the left-hand side and change its sign

7x-7-3x=2

or Move the constant to the right-hand side and change its sign

7x-7-3x=2

Collect like terms

4x=2+7

And then Add the numbers

4x=9

Divide both sides of the equation by 4

x=9/4

Mixed number is 2 1/4

Answer:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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