Which statement is true of this function?
f(x) = (1) ² - 2

Answers

Answer 1

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Which Statement Is True Of This Function?f(x) = (1) - 2

Related Questions

Suppose that 3y - 5 = 45 and y = 3x - 2.Which of the following equations is equivalent to 3y - 5 = 45, but written only in terms of x?

Answers

We have

[tex]\begin{gathered} 3y-5=45 \\ y=3x-2 \end{gathered}[/tex]

So we must replace the value of y of the second equation in the first equation

[tex]\begin{gathered} 3(3x-2)-5=45 \\ 9x-6-5=45 \\ 9x-6=45+5 \\ 9x-6=50 \end{gathered}[/tex]

So, the answer is 9x - 6 = 50. Last option.

write an perpendicular equation of y=-2x+1 that goes through the point (-1,4)

Answers

[tex]\begin{gathered} y=-2x+1 \\ \text{slope, m=-2} \\ The\text{ new slope is,} \\ m=\frac{1}{2} \\ \text{The new equation is,} \\ y-4=\frac{1}{2}(x+1) \\ 2y-8=x+1 \\ 2y=x+9 \\ y=\frac{1}{2}x+\frac{9}{2} \end{gathered}[/tex]

Answer this you are a pro (try your best)

Answers

There are a specific quantity of $5 bills, and Brad has 6 boxes. In order to ensure that no two boxes contain the same amount of money, he wants to place his bills into some or all of the boxes. The least amount of money he needs to do $30 is within each box.

How do you tell whether an equation has an unlimited number of solutions?

Both sides of an infinite solution are equal. As an illustration, 6x + 2y - 8 = 12x + 4y - 16 If you use a formula with infinite solutions to simplify the equation A set of two or more linear equations with two or more variables constitutes a system of linear equations.

If all the equations in the system are taken into account simultaneously, or if you use the approach where you obtain both sides equal, the system has an infinite solution.

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The displacement of a particle from a reference point at any instant is given by s = 3 t 2 - 4 t + 5 , where s is in metres and t is time in seconds. calculate the average velocity of the particle in the time interval between 3 s and 5 s, and its instantaneous velocity at 4 s.

Answers

The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.

How to determine average velocity and instantaneous velocity?
Average velocity is defined as the body's overall displacement divided by its time of motion. While instantaneous velocity is defined as a body's speed at a certain instant in time, or its displacement at that instant. When the velocity is constant, average and instantaneous velocities will equalize at just one condition.
The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time." The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
Mathematically, average velocity = [s(t₂) - s(t₁)]/[t₂ - t₁]
Instantaneous velocity at time, t is = (ds/dt) at time = t

Given, the displacement for the particle is given by s = 3t² - 4t + 5
Time interval, t₁ = 5s and t₂ = 3s;
Using formula in literature, average velocity of the particle in the time interval between 3s and 5s is:
Average velocity = (s(5) - s(3))/(5 - 3) = (60 - 20)/2 = 20 ms⁻¹
Instantaneous velocity at t = 4 is ds/dt at that time-frame:
Now, v = ds/dt = 6t -4
Now, v(4) = 6(4) - 4 = 20 ms⁻¹
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.

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Latoya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Latoya $5.85 per pound, and type B coffee costs $4.30 perpound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $553.20. How many pounds of type A coffee wereused?

Answers

Latoya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Latoya $5.85 per pound, and type B coffee costs $4.30 per pound.

This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $553.20.

Let, a pounds of type A coffee and b pounds of type B coffee were used.

Then,

[tex]\begin{gathered} 5.85a+4.30b=553.20 \\ b=4a \end{gathered}[/tex]

Substituting in the first equation,

[tex]\begin{gathered} 5.85a+4.30(4a)=553.20 \\ 5.85a+17.2a=553.20 \\ 23.05a=553.20 \\ a=24 \end{gathered}[/tex]

Hence, 24 pounds of type A coffee were used.

In the following diagram, segment QR is the image of segment NP after a dilation centered at the origin with a scale factor of k. Which of the following would not be a correct calculation of k.

Answers

The ratio OQ/QN would not give a correct calculation of K

Here, we want to select which of the options would be a wrong calculation for k which is the scale factor

Any of the ratios that would measure k should be such a ratio that compares similar distances

The correct answer in this case is OQ/QN

The reason why it is wrong is that while OQ meaures the distance from the center of dilation to the first segment, QN should also have measured a comparable distance

Thus, ON should have been what to use if we are to compare both distances since they would have measured the distances from the center of dilation which is the origin in this case

Write the following expression in logarithmic form.a^x = y

Answers

Explanation

Given

[tex]a^x=y[/tex]

Therefore;

Answer:

[tex]x=\log_ay[/tex]

A line has an x-intercept of -20 and a y-intercept of 15. What is the equation of theline

Answers

ok

P1 = (-20, 0)

P2 = (0, 15)

slope = (15 - 0) / (0 + 20)

slope = 15/20

slope = 3/4

Equation of the line

y - 0 = 3/4(x + 20)

y = 3/4x + 3/4(20)

y = 3/4x + 15

Result y = 3/4x + 15

Hello. Is it possible to get help with this question (Math 9.11 Solving Logarithmic Equations)

Answers

[tex]\begin{gathered} 2lnx^{e+2}\text{ -lnx = 10} \\ 2(e+2)lnx\text{ - lnx = 10} \\ lnx(2(e+2)-1)=10 \\ lnx\text{ = 1.1853} \\ e^{lnx}\text{ = e}^{1.1853} \\ x\text{ = 3.27} \end{gathered}[/tex]

answer: x = 3.27

Figure I and Figure Il are similar Which proportion must be true?

Answers

We know that figure I and figure II are similar, which means that:

-The corresponding angles are equal

-The corresponding sides are at the same ratio.

The ratios between the corresponding sides are:

[tex]\frac{15}{5}=\frac{12}{4}=\frac{8}{2}=\frac{x}{y}[/tex]

You have to compare the determined ratios with the given options to find the true statement.

The only given proportion that is true is the first one

[tex]\frac{x}{y}=\frac{8}{2}[/tex]

9. Bev had 24 pieces of candy. She gave Jamie 1/3 From the candy pieces remaining she the gave Selena 1/4. How many pieces of candy does she have left?​

Answers

Number of candy's Bev has left with her is 12 .

What is equation?.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

No. of candy Bev has= 24

She gave 1 /3 of candy to Jamie.

No. of candy Jamie got = 1 /3 of total candy

                                       = 1 /3 * 24

                                       = 8 candy

No. of candy she remained = total no. of candy - no of candy she gave to Jamie:

                                            =24 - 8

                                            =16

No. of candy Selena got = 1 /4 of remaining candy

                                           =1 /4 ×16

                                            =4

No. of candy left = total candy - (candy Jamie got +candy Selena got)

                                             = 24-(8+4)

                                              = 12 candy

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Which of the following is a result of shifting a circle with equation
(x-2)2 + (y - 3)2 = 25
to the left 2 units?
OA. The y-coordinate of the center of the circle decreases by 2.
OB. Both the x- and y-coordinates of the center of the circle decrease
by 2.
C. Both the x- and y-coordinates of the center of the circle increase
by 2.
D. The x-coordinate of the center of the circle decreases by 2.

Answers

The most appropriate choice of circle will be given by

x coordinate of the center decreases by 2

Fourth option is correct

What is circle?

Circle is a round two dimensional figure where all the points on the circle maintains a fixed distance from a point known as the center of the circle. The fixed distance of the point on the circle from the center of the circle is known as radius of the circle.

Equation of circle is (x - a)^2 + (y - b)^2 = r^2, where (a, b) is the center of the circle and r is the radius of the circle.

Here,

(x-2)^2 + (y - 3)^2 = 25

(x-2)^2 + (y - 3)^2 = 5^2

This is the equation of circle with center (2, 3) and radius 5 units

On shifting the circle 2 units to the left, the coordinate of center of circle changes to (0, 2)

That means x coordinate of the center decreases by 2

So fourth option is correct

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Given that the measure of ∠x is 73°, and the measure of ∠y is 90°, find the measure of ∠z

Answers

Answer:

If you are talking about a triangle XYZ

<x + <y + <z = 180

73 + 90 + z =180

<z = 17


A population proportion is 0.20. A random sample of size 200 will be taken and the sample proportion will be used to estimate the population proportion. Use the z-table.
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.02 of the population proportion?
b. What is the probability that the sample proportion will be within 0.05 of the population proportion?

Answers

a. The probability that the sample proportion will be within ±0.02 of the population proportion - 0.5223

b. The probability that the sample proportion will be within 0.05 of the population proportion - 0.9232

[tex]Given, \\$P=0.2 a$ \\$n=200$ \\mean, \ $\mu \hat{p}=p$ \\$=0.20$ \\Standard deviation, $\sigma_p=\sqrt{\frac{p(1-p)}{n}}$ \\$=\sqrt{\frac{0.20(1-0.20)}{208}}$ \\$=\sqrt{\frac{0,20(0,80)}{200}}$ \\$=\sqrt{\frac{0.16}{200}}$. \\$=0.0283$ \\a) $p(|x-\mu|=\pm 0.02)=f\left(\frac{-|x-\mu|}{\sigma \hat{p}} < z < \frac{|x-\mu|}{\sigma_{\hat{p}}}\right)$ \\$=1\left(\frac{-0.02}{0.0283} < = < \frac{0.02}{0.0283}\right)$ \\$=P(-0,71 < z < 0,71)$[/tex]

[tex]$$\begin{gathered}=p(z < 0,71)-p(z < -0,71) \\=0,7612-0.2389 \\=0,5223 } \\\therefore P(|x-\mu|=\pm 0.021=0,5223)\end{gathered}$$[/tex]

[tex]b)\\$$\begin{aligned}p(|x-\mu|=\pm 0.05)=p\left(\frac{|x-\mu|}{\sigma \hat{p}} < z < \frac{|x-\mu|}{\sigma \hat{p}}\right) \\=p\left(\frac{-0.05}{0.0283}-z < \frac{0.05}{0.0283}\right) \\=& p(-1.77 < z < 1.77) \\=& P(z < 1.77)-p(z < -1.77) \\\therefore p(i x-\mu \mid&=\pm 0.05)=0.9232\end{aligned}$$[/tex]

What is the population ?

A population is a complete  group of individuals, regardless of whether that group consists of a nation or a group of people with a common characteristic.

In statistics, a population is a group of individuals from which a statistical sample is taken for research. Thus, any selection of individuals grouped together on the basis of some common characteristic can be called a population. A sample may also refer to a statistically significant portion of the population rather than the entire population. Therefore, statistical analysis of a sample must report the approximate standard deviation or standard error of the results for the entire population. Only the whole population analysis has no standard error

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The radius of a circle is 3 inches. What is the measure, in radians, of the angle subtended by an arc 3π inches long

Answers

ANSWER

[tex]\theta\text{ = }\pi\text{ radians}[/tex]

EXPLANATION

We are given that the radius of the circle is 3 inches and the length of the arc that subtends the angle is 3π inches.

We can find the angle subtended by the arc by using the formula for length of an arc:

[tex]\begin{gathered} L\text{ = }\frac{\theta}{2\pi}\cdot\text{ 2}\pi R \\ \text{where }\theta\text{ = angle subtended, in radians} \\ R\text{ = radius} \end{gathered}[/tex]

Therefore, we have that:

[tex]\begin{gathered} 3\pi\text{ = }\frac{\theta}{2\pi}\cdot\text{ 2}\cdot\pi\cdot3 \\ \Rightarrow3\pi\text{ = }\theta\cdot\text{ 3} \\ \text{Divide through by 3:} \\ \theta\text{ = }\pi\text{ radians} \end{gathered}[/tex]

That is the angle subtended by the arc.

What is the volume of a cone with 80 km and 21 km?

Answers

The volume of the cone is 36,960km³.

What is a cone?

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top called the apex.

The volume of a cone defines the space or the capacity of the cone. It is calculated using:

Vol. of a cone=1/3×π×r²h

where π=22/7

r     = raπius of the base of the cone

h= height of the cone

Thus, vol. of the cone=1/3×22/7×21²×80

                                   =  776160/21

                                    =36,960km³

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determine the elements of each of the following three sets explicitly, and justify your answers:
• A = {n ∈ N : cos(nπ) greater than or equal to 0};
• B = {cos(nπ) : n ∈ N};
• C = {q + r : q, r ∈ Q ∩ [0, 1]}.

Answers

Elements of following sets are

A = {1}

B = {-1, 1}

C = Q ∩ [0, 1]

Sets

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set. A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Given that

A = {n ∈ N : cos(nπ) greater than or equal to 0}

B = {cos(nπ) : n ∈ N}

C = {q + r : q, r ∈ Q ∩ [0, 1]}

Therefore elements of

A = {1}

as cos 2[tex]\pi[/tex], cos 4[tex]\pi[/tex], cos 6[tex]\pi[/tex], cos 8[tex]\pi[/tex] and so on is equal to 1.

B = {-1, 1}

as cos [tex]\pi[/tex] , cos 2[tex]\pi[/tex], cos 3[tex]\pi[/tex], cos 4[tex]\pi[/tex], cos 5[tex]\pi[/tex] and so on is equal to -1 and 1.

C = Q ∩ [0, 1]

as q and r both belongs to Q ∩ [0, 1] and their sum will be also equal to Q ∩ [0, 1].

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A point on the rim of a wheel moves with a velocity of 95 feet per second. Find the angular velocity of the point if the diameter of the wheel is 5 feet.

Answers

To find:

The angular velocity of the point.

Solution:

Given the wheel moves with a velocity of 95 feet per second and the diameter is 5 feet.

So, the radius of the wheel is 5/2 feet.

The formula used to find the angular velocity of the wheel is given by:

[tex]\omega=\frac{v}{r}[/tex]

So, by the given information is:

[tex]\begin{gathered} \omega=\frac{95}{\frac{5}{2}} \\ \omega=38 \end{gathered}[/tex]

Thus, the angular velocity is 38 radians per second.

A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased 40%

Answers

The number of bacteria after the increase is 217

Bacteria in a culture when the scientist first observed = 155

Percentage: Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam scored 30% marks in his math test, it means that he scored 30 marks out of 100. It is written as 30/100 in the fraction form and 30:100 in terms of ratio.

Increase in number of bacteria post observation = 40%

Bacteria after increase:

= 155 + 40% of 155

= 155 + 0.40*155

= 155 + 62

= 217

So, bacteria after the increase is 217

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Help with this one need help now

Answers

The measure of the angle in the triangle is of 85º.

How to find the measure of the angle?

In the context of this problem, the measure of the angle is found using the ruler in the given image.

Due to the position that the triangle opens, from left to right, we have to read the angles from the bottom line.

The measures are listed in intervals of 10º, however each trace represents one degree.

The angle of the illustrated triangle is positioned at the 5th trace between 80º and 90º, hence the measure of the angle in the triangle is calculated as follows:

80º + 5º = 85º.

This is because each trace represents one degree, and the angle is at the 5th trace between 80º and 90º.

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A system of equations is made up of an ellipse and a hyperbola.

Answers

Ok, so

We want to find the equation of an ellipse centered at the origin with a horizontal major axis of 8 units and a minor axis of 6 units.

For this, let's remember the form of the equation of an ellipse:

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

Where the center of the ellipse is located at the point (h,k).

If the ellipse is centered at the origin, then, h=0 and k=0, so the form of our equation will be:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Now, we're given that our ellipse has a horizontal major axis of 8 units and a minor axis of 6 units. Since the major and minor axis are given by the parameters 2a and 2b, then, a=4 and b=3. the greater number will divide the x² term and a>b.

So, the equation of this ellipse is:

[tex]\frac{x^2}{16}+\frac{y^2}{9}=1[/tex]

The graph of this ellipse will be something like:

The table shows the results of a random survey of people about their favorite movie genres. if 350 people are asked about their favorite movie genres, how many people will prefer comedies? Enter your answer, rounded to the nearest whole number, in the box.

Answers

Answer:

38.26% prefer comedies

If 350 people are asked, 134 people will prefer comedies

Explanation:

First, we need to find the percentage of people that prefer comedy. Taking into account the table, 44 people prefer comedy from the 115 people in total.

So, the percentage of students that prefer comedy is calculated as

44/115 x 100% = 0.3826 x 100% = 38.26%

Then, if 350 are asked about their favorite movie genres, the number of people that will prefer comedies is equal to 350 people times the percentage calculated before, so

350 x 38.26% = 350 x 0.3826 = 133.9 = 134

Therefore, 134 people will prefer comedies.

Lin’s scale of 1 inch to 1 foot can be written as

Answers

Answer:  1i=1f

Step-by-step explanation:

what is the recursive formula if the sequence is 4,7,10,13...?

Answers

The recursive formula if the sequence is 4,7,10,13 is aₙ = 3n - 2.

What is a Sequence?

This is referred to as the list of the things or items in mathematics  in which repetitions are allowed and a certain order is followed and an example of a sequence is 1,3,5,7...etc.

The formula for arithmetic sequence is aₙ = a₁ + d ( n -1) in which a is the first term while d is the common difference. a₁ is referred to as the first term while d is the common difference which is 7 - 5 = 2 or 5 - 3 = 2.

aₙ = a₁ + d ( n -1)

     = 4 + 3 ( n - 1) --- expand the bracket

     = 4 + 3n - 3   = 4 -3 + 3n

aₙ  = 3n + 1

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Each data set contains one outlierWhat are the values of the two outliers? Explain how you determined the value of the outliers .

Answers

An outlier is a value that is outside the expected limits of the data. It Is usually more than 3 standard deviation from the mean.

In the league A, we see an outlier in the minimum value (26) and, in the league B, the maximum value (256).

The outliers can be spotted in the graph by looking at points does seem to be too far of the group of data. Also, mathematically, looking at the distance from the mean: if the difference between the value and the mean is more than 3 standard deviations, we are talking about an outlier.

Instructions: Find the missing side. Round your answer to the nearest tenth. stion 54° 29 х

Answers

Recalling the definition of the sine of an angle in a right triangle, we know that:

[tex]\sin (54)=\frac{x}{29}[/tex]

Isolate x from this equation:

[tex]x=29\sin (54)[/tex]

Use a calculator to find the numerical value of x:

[tex]x=23.46149284[/tex]

Therefore, to the nearest tenth:

[tex]x=23.5[/tex]

700,000,000+60,000,000+8,000,000+90,000+20,000+50+4

Answers

700,000,000

+

60,000,000

+

8,000,000

+

90,000

+

20,000

+

50

+

4

____________

768,110,054

What is the image point of (3,8) after a translation right 4 units and up 1 unit?

Answers

In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that stretches in both directions indefinitely.

Explain about  the points?

A point is the most fundamental geometrical object. It has a capital letter name and a dot as its symbol. A point is sizeless and just denotes position (that is, zero length, zero width, and zero height).

A point in mathematics is a precise spot on a plane. The flat, two-dimensional surface of a plane. A dot and a capital letter are typically used to identify points. Angles and forms, such the rectangle ABCD or the line segment YZ, can be named using points.

There are no measurements like length, width, or thickness for a point. The point can be determined by a star in the sky. The tip of a compass, the pointed end of a knife, and other similar objects are examples of points.

The answer is (7,9)

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Find the greatest common factor for the group of numbers. 20. 12, 24

Answers

Search for the numbers that divide all of the given set.

Notice that all three of them can be divided by two:

[tex]\begin{gathered} \frac{20}{2}=10 \\ \frac{12}{2}=6 \\ \frac{24}{2}=12 \end{gathered}[/tex]

Therefore, 2 is the first common factor. Now, take the numbers 10, 6 and 12 and repeat the procedure. Notice that all of them are divisible by 2:

[tex]\begin{gathered} \frac{10}{2}=5 \\ \frac{6}{2}=3 \\ \frac{12}{2}=6 \end{gathered}[/tex]

Therefore, 2 is the next common factor. Now, take the numbers 5, 3 and 6 and repeat the procedure. Notice that 3 is not divisible by 2 and 5 is not divisible by 3. Since there are no more numbers lower tan 3 that divide all of the numbers, there are no more common factors.

The common factors were 2 and 2. Multiply all the common factors to find the greatest common factor:

[tex]2\cdot2=4[/tex]

Therefore, 4 is the greatest common factor of 20,12 and 24.

Timed. Please help!!

Answers

Answer:

m<ABF = 34

m<FDC = 51

m<CFD = 92

Answer:

I am not sure about this.

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