Make a table and graph each quadratic function. Use integers from -3 to 3 for inputs. y=-x²​

Answer:

The answer is SAS I'm pretty sure

Answer:

SAS

Step-by-step explanation:

SAS = Side-Angle-Side

The images show that both triangles have two sides and one angle that are congruent to the other. The SAS Theorem states:

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Answer:

B

Step-by-step explanation:

We want to find the quadratic regression formula given the table.

So, let's use the quadratic regression function on your graphing calculator. I don't have one on me, but I believe you simply need to enter the data and hit quadratic regression or something similar.

I'm going to use an online quadratic regression calculator by Keisan Casio.

Refer to the screenshot.

Note that it says to use the 24-hour clock to represent time after noon. So, 2 P.M. will just be 14, 4 P.M. will be 16, etc.

Therefore, our quadratic regression equation is, approximately:

\(y=-0.511x^2+14.96x-35.8\)

The choice that best represents this is B.

So, our answer is B.

And we're done!

Asymptotes are lines that a curve approaches but does not intersect. A curve may have vertical, horizontal, or slant asymptotes or none at all. Asymptotes are critical features of the curve since they are used to help graph the function.

We will use the following steps to find asymptotes of the function h(x) = 4 + (5/x):

Vertical Asymptotes:Vertical asymptotes occur when the denominator is equal to zero. So for the function

h(x) = 4 + (5/x), the denominator x cannot be equal to 0.

Therefore x = 0 is the equation of the vertical asymptote.Horizontal Asymptotes:

Horizontal asymptotes occur when the value of y approaches a constant as x becomes extremely large.

For the function h(x) = 4 + (5/x), we need to take the limit as x approaches infinity and as x approaches negative infinity respectively.

(i) As x approaches infinity,y = 4 + 0= 4(ii) As x approaches negative infinity,y = 4 + 0= 4.

Therefore, the equation of the horizontal asymptote is y = 4.

Finally, the vertical asymptote equation is x = 0, and the horizontal asymptote equation is y = 4 for the function h(x) = 4 + (5/x).

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The diagonal matrix A' for T relative to the basis \(\(B'\)\) is:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

To find the diagonal matrix A' for the linear transformation T relative to the basis B', we need to perform a change of basis using the given matrix A and basis B'.

Let's denote the standard basis as \(\(B = \{(1, 0, 0), (0, 1, 0), (0, 0, 1)\}\).\)

To perform the change of basis, we need to find the matrix P such that P[B'] = B.

We can write the vectors in B' as column vectors:

\(\[B' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

To find \(P\), we solve the equation P[B'] = B for P:

\(\[P \cdot B' = B\]\\\\\P = B \cdot (B')^{-1}\]\)

Calculating the inverse of \(\(B'\)\):

\(\[B'^{-1} = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Now we can calculate \(\(P\)\):

\(\[P = B \cdot B'^{-1} = \left[ \begin{array}{ccc} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right] = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Now, the diagonal matrix A' for T relative to the basis B' can be calculated as:

\(\[A' = P^{-1} \cdot A \cdot P\]\)

Calculating\(\(P^{-1}\):\)

\(\[P^{-1} = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Substituting the values into the equation for \(\(A'\)\):

\(\[A' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} \cdot \left[ \begin{array}{ccc} -1 & -2 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Performing the matrix multiplication:

\(\[A' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & -2 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Calculating the matrix multiplication, we get:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Therefore, the diagonal matrix A' for T relative to the basis B' is:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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The average value of f(x) = 8x sec^2(x) on the interval [0, π/4] is -4/3.

To find the average value of a function f(x) on an interval [a, b], we need to evaluate the definite integral of the function over that interval and divide it by the length of the interval.

The definite integral of f(x) = 8x sec^2(x) over the interval [0, π/4] is given by:

∫[0,π/4] 8x sec^2(x) dx

This integral can be evaluated by substitution. Let u = sec(x) and du = sec(x)tan(x)dxmthen the integral becomes:

∫[0,π/4] 8x sec^2(x) dx = ∫[1,sec(π/4)] 8xu^2du

= 8/3u^3 evaluated at u = sec(π/4) - 8/3u^3 evaluated at u = 1

= 8/3sec^3(π/4) - 8/3 = 8/3(1/cos^3(π/4)) - 8/3 = 8/3*(1/1/2) - 8/3 = 4/3 - 8/3 = -4/3

Thus, The average value of f(x) = 8x sec^2(x) on the interval [0, π/4] is -4/3.

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The person that would have to clean the higher number of rooms would be Mackenzie.

This would be gotten from the rate that the both of the persons involved are working.

On that particular day, they are both said to have cleaned equal number of rooms. The next day, they have the same shift length but Mackenzie is working for fewer hours.

This tells us that Mackenzie has a higher work rate than Lilian, hence she would have to clean more rooms.

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The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Aw that's really nice of you thanks

thank you <3 appreciate it loads

Answer: 28/45

Step-by-step explanation:

tan is \(\frac{opposite}{adjacent}\).

In this case, tanA = \(\frac{28}{45}\)

Answer: It has 13 sides

Step-by-step explanation:

Answer:

800 ; 20% ; 4 years

Step-by-step explanation:

Actual price of item = $4000

Total amount paid in installment = ($100 * 48) = $4800

Finance charge = total amount paid in installment - actual price

Finance charge = $4800 - $4000 = $800

B) Interest percent rate, r :

r% of 4000 = 800

0.01r * 4000 = 800

40r = 800

r = 800/40

r = 20

r = 20%

C.)

Time in years ; for 48 months

T = 48/12 ; T = 4 years

Answer:

infinitely many

Step-by-step explanation:

All triangles that you can construct will be "similar", in that they have the same angles, but different sizes. The angles have to add up to 180, and they do in the measurements that you're given.

Answer: 68%

Step-by-step explanation:

From the table on the left-hand side, we observe that the total number of the surveyed seventh grade students is:

\(12+7+13+6=38\)

The number of seventh graders who do not play guitar is:

\(7+13+6=26\)

Hence, the probability that a randomly chosen seventh grader will play an instrument other than guitar is:

\(\frac{26}{38}\times 100\% = 68\%\)

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

18 UNITS

Step-by-step explanation:

FIRST DRAW ON A COORDINATE PLANE IF NEEDED. THE LENGTH OF THE RECTANGLE IS 2 UNITS, THE WIDTH OF IT IS 9 UNITS.  NEXT MULTIPLY THE LENGTH BY WIDTH 2*9=18 units.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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Answer:

Uhh Like 50 different outfits using the same paints and shirts just put differently

Step-by-step explanation:

The number of miles travelled by Carman is 12 miles

Given data

fares for the cab = $2.10 + $0.80 per mile

carman paid = $11.70

let the number of miles travelled be x

cab charges is 2.10

increments per mile is 0.80

hence

2.10 + 0.80x = 11.70

0.80x = 11.70 - 2.10

0.80x = 9.6

x = 12

The number of miles travelled by Carman is 12 miles

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The molecular theory of magnetism states that ferromagnetic materials are made up of a very large number of molecular domains that can be arranged in either a disorganized or organized manner.

Ferromagnetic materials are those that exhibit a strong magnetic attraction in the presence of an external magnetic field. This attraction is due to the alignment of the magnetic moments of the individual molecules within each domain.
In a disorganized arrangement, the magnetic domains are randomly oriented, and the material exhibits little to no net magnetization. However, when the domains are organized, such as in the case of a magnetized ferromagnetic material, the magnetic moments of the individual molecules within each domain are aligned in the same direction, resulting in a strong net magnetic field.
The organization of these molecular domains is influenced by factors such as temperature, magnetic field strength, and the presence of impurities or defects in the material. Understanding the molecular theory of magnetism is crucial for the development and application of magnetic materials in various fields such as electronics, energy, and medicine.

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Answer:Answer is A

Step-by-step explanation:

Answer:

they are all squares, since all the sides are the same number and a quadrilaerals include the square in that category so A and B

Answer:

120

Step-by-step explanation:

360

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3

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Answer:

Step-by-step explanation:

3x-5(-4)=23      (1,-4)

3x+20=23

-20

3x=3/3

x=1

The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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792,000,000,0

Step-by-step explanation:

550,000 x 60 = 330,000,00 (To get hourly rate)

330,000,00 x 24 = 792,000,000,0 (To get daily rate)

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21/8 must be added to the terms to give the result as 6. The answer will be in a fraction.

What is a fraction?

In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. In ordinary English, a fraction refers to the number of parts of a specific size.

Main Body:

Let the term to be added be x.

3+3/8+x =6

on solving this we will get the value of  x= 21/8

Hence the answer of this question is 21/8.

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