Determine the domain and range for the relation in interval notation.

Answers

Answer 1

Move from left to right to find the domain.

Domain: -4 to 2 which is [-4,2]

*For domain and range, brackets are used to indicate that values like -4 and 2 are included in the solution set.

Move from bottom to top to find the range.

Range: -3 to 3 which is [-3,3]

Good luck to you! Ask any questions you may have!

Related Questions

2 and 1/8 + 1 and 3/4

Answers

3.875 hope this is right

To go on a summer trip, Felipe borrows $200. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges sim
Interest at an annual rate of 2%.

Answers

Answer:

Step-by-step explanation:

A=P(1+rt)

A=200(1+.02(3))

A=200(1.06)

A=$212

Pls pls help with this math

Answers

Answer:

7, -1

Step-by-step explanation:

x^2 - 6x + 7 = 0

(x - 7)(x + 1) = 0

==> x = 7, x = -1

Answer:

The answer would be 7,-1

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.

Answers

Answer:

angle Y= 60 degrees

Step-by-step explanation:

angle S + angle Y = 90 degrees because they are complementary

Y = 90 - S

angle S = 4(Y)-210

substitute for Y

S = 4(90 - S) - 210

S = 360 - 4S - 210

reduce

5S = 150

S = 30

Y = 90 - 30 = 60

The domain of f(x)=cosx
must be restricted to all real numbers in order for the function to have an inverse function. The domain of g(x)=arccos(x)
is −1≤x≤1
and its range is 0≤x≤π
.
is this correct ?

Answers

Answer:

Not completely sure for the rest, but I believe the range is incorrect: the range represents y-values, not x-values.

So it should be 0 ≤ y ≤ π

A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.

A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°

B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°

C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°

D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°

E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°

Answers

Answer:

A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°

B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°

D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°

Step-by-step explanation:

The sum of opposite angles of a cyclic quadrilateral is 180°

It must satisfy the following:

A+C=180° and B+D=180°

Only choice A and B and D satisfy.

The correct options are options A, B, and D.

What is a cyclic quadrilateral?

A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.

A) ∠A =90°

∠B=90°

∠C =90°

∠D =90°

∠A + ∠C = 180°

∠B + ∠D =180°

So, this quadrilateral can come from a cyclic quadrilateral.

B) ∠A =80°

∠B=80°

∠C =100°

∠D =10 0°

∠A + ∠C = 180°

∠B + ∠D =180°

So, this quadrilateral can come from a cyclic quadrilateral.

Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.

C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.

D) ∠A + ∠C = 180°

∠B + ∠D =180°

So, this quadrilateral can come from a cyclic quadrilateral.

E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.

Therefore, The correct options are options A, B, and D.

To get more about the cyclic quadrilateral visit:

https://brainly.com/question/24142962

a) Simplify
X - 2 / 7(x - 2)2

Answers

This is what I got. Hope it helps :)

Answer:

3x/7 + 8/7

Step-by-step explanation:

how many inches is 2 1/6 ft

Answers

Answer:

26 inches

Step-by-step explanation:

The answer is 26 inches

plz help with 24-28!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Senor Ogar is planting a garden in the corner of his yard before he does any planting however he wants to make a scale drawing showing where each vegetable and fruit go so far he has drawn the perimeter of his garden the actual length of the vertical and horizontal legs of his triangular Garden is 3M after making his drawing he decides that his Gail is way too small instead he wants the vertical and horizontal legs of the triangle on his drawing to be 18 cm make a new scale drawing with new dimensions of the scale drawing make sure to label all three sides of the garden and include the new scale

Answers

The new scale drawing is
the new dimensions of the scale drawing in the attached figure
Step-by-step explanation:
The complete question is
Señor Ochoa is planting a garden in the corner of his yard. Before he does any planting, however, he wants to make a scale drawing showing where he wants each vegetable and fruit to go. So far, he has drawn the perimeter of his garden. The actual length of the vertical and horizontal legs of his triangular garden is 3 meters.
After making his drawing, he decides that his scale is way too small. Instead, he wants the vertical and horizontal legs of the triangle on his drawing to be 18 centimeters. Make a new scale drawing with the new dimensions of the scale drawing. Make sure to label all three sides of the garden and include the new scale
The draw in the attached figure
Find the original scale drawing
we know that
6 cm in the drawing represent 3 meters in the actual
so

Simplify
The original scale was
That means ---> 2 cm in the drawing represent 1 meter in the actual
Find the new scale drawing
we know that
18 cm in the drawing represent 3 meters in the actual
so

Simplify
The new scale is
That means ---> 6 cm in the drawing represent 1 meter in the actual
therefore
the new dimensions of the scale drawing in the attached figure

A hardware store sells 45 boxes of nails for $67.50. Assuming that each box is the same price, what is the price per box?

Answers

Answer:

$1.50

Step-by-step explanation:

You take 67.50/45= 1.50

Hope this helps! <3

A recipe needs 2 tablespoons of vegetable oil for every 3/4 cup of flour. If you plan to use 3 cups of flour,
how much vegetable oil will you need?

Answers

Answer:

Step-by-step explanation:

-%6$6%7$%$7%867-$7

Answer:

Step-by-step explanation:

Ratio: 2:3/4

Equation: 3/4x=3

x=4

4*2=8

What is the sum of
1
2
+
1
4
? Use the fraction strip to help.

One whole fraction strip is equal in length to one one-half fraction strip combined with two one-fourth fraction strips. One-whole fraction strip is also equal to eight one-eighth fraction strips.

Answers

Answer:

Step-by-step explanation:

3/4

Answer:

3/8

Step-by-step explanation:

first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8

Brooke scored 21 points during the season she scored 9 points more than emily write an equation that can be used to find the amount of points emily scored

Answers

21-9=x subtract the amount of points Brooke is up by to get Emily’s score

I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
What is the definition of Linear Angle?

A pair of angles that lie on the same plane, have a common vertex, and share a common side
or
A pair of angles that have a common side and same vertex, and the sides points in opposite directions.
or
A pair of angles that are opposite of each other and formed by two intersecting lines.

Answers

Answer:

The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles. The adjacent angles are the angles which have a common vertex.

An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:

Enrollment
Month
January
February
March
April
May
June
Actual
500
400
550
550
750
400
Predicted
410
450
650
650
600
450
Residual
90
−50
−100
−100
150
−50

Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. (1 point)

Select one:
a. No, the equation is not a good fit because the sum of the residuals is a large number.
b. No, the equation is not a good fit because the residuals are all far from zero.
c. Yes, the equation is a good fit because the residuals are not all far from zero.
d. Yes, the equation is a good fit because the sum of the residuals is a small number.

Answers

The right answer for the question that is being asked and shown above is that: "No, the equation is not a good fit because the sum of the residuals is a large number." Determine whether the equation that produced the predicted values represents a good line of best fit.

The inference from the information is A. No, the equation is not a good fit because the sum of the residuals is a large number.

What is a line of best fit?

It should be noted that line of best fit simply means a line through a scatter plot of data points which shows the relationship between the points.

In this case, the inference from the information is that the equation is not a good fit because the sum of the residuals is a large number.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ2

the sum of two numbers is 51 and the difference is 13. what are the numbers

Answers

Answer:

Step-by-step explanation:

19 and 32

Answer:

the two numbers are 19 and 32

Step-by-step explanation:

let's call the numbers x and y.

write out the equations

x + y = 51

x - y = 13

simplify the second equation

x = 13 + y

substitute into the first equation and simplify

(13 + y) + y = 51

13 + 2y = 51

2y = 51 - 13

2y = 38

y = 19

substitute y for 19 in the second equation

x = 13 + y

x = 13 + 19

x = 32

x³-5x²+2x-10 devided by x²+2

Answers

Answer:

x-5

Step-by-step explanation:

The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 S. News and World Report annual rankings. Next you perform the following regression.
cost 7,311.173,985.20 . Reputation - 0.20 Size +8,406.79. Dpriv
(0.13 2,058.63 (664.58) - 416.38 Dibart - 2,376.51 Dreli ion (2,154.35) (1,121.92) 1,007.56) R' = 0.72 SER 3, 773.35
where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World Report (based on a survey of university presidents and chief academic officers), which ranges from 1 ("marginal) to 5 ("distinguished"), Size is the number of undergraduate students, and Dpriv, Dlibart, and Dreligion are binary variables indicating whether the institution is private, a liberal arts college, and has a religious affiliation. The numbers in parentheses are heteroskedasticity-robust standard errors
(a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?

Answers

Answer:

a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?

An increase in reputation by one category, increases the cost by

roughly $3,985. The larger the size of the college/university, the

lower the cost. An increase of 10,000 students results in a $2,000

lower cost. Private schools charge roughly $8,406 more than public

schools. A school with a religious affiliation is approximately $2,376

cheaper, presumably due to subsidies, and a liberal arts college also

charges roughly $416 less. There are no observations close to the

origin, so there is no direct interpretation of the intercept. Other than

perhaps the coefficient on liberal arts colleges, all coefficients have

the expected sign.

(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)

7,311.17 + 3,985.20×4.5 – 0.20×1500

+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935

(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?

Roughly $ 12,400. Since over the four years of education, this

implies approximately $50,000, it is a substantial amount of money

for the average household.

(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?

Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters

(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?

The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case

(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .

Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?

Step-by-step explanation:

a.An increase in reputation by one category, increases the cost by