-7, -3, 1, 5 what is the explicit formula

Answers

Answer 1

Answer:

f(x)=4x-11

Step-by-step explanation:

This is a linear sequence, so we have to find our common difference, or slope, by finding the difference between any term and its previous term. We should do this a couple of times to make sure it's consistent. In this case, our slope is 4 and our first term is -7. We can do our equation in slope intercept (y=mx+b) form. However, to do this, we have to find the '0'th' term, or the term where x=0, a.k.a. the y-intercept. Our 1st term where x-1 is -7, and since our common difference is 4, we subtract 4 from negative 7 to get a y-intercept of -11. Our equation is now y=4x-11. To make this an explicit formula, we convert into f(x) form to get a formula of f(x)=4x-11.


Related Questions

Does a compromised account on Instamean your banned for a few days????? Yes or no?
Answer ASAP

Answers

Answer:

Not necessarily

Step-by-step explanation:

Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.

Please help me please is it 2 or 4

Answers

Answer:

its 4

Step-by-step explanation:

A landscaper records the heights, in feet, of 15 newly planted trees in a community garden, as shown.
3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9
Complete the histogram by selecting the frequencies for the heights of the newly planted trees in the community garden.

Answers

Answer:

Step-by-step explanation:

The histogram shows the distribution of the newly planted trees

How to plot the histogram?

The dataset is given as:

3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9

Sort the data elements

3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1

Calculate the range

Range = Highest - Least

This gives

Range = 7.1 - 3.1

Range = 4

Divide by 4 to calculate the class width

Width = 4/4

Width = 1

So, the classes and the frequencies are:

Class               Frequency

3.1 - 4.0              4

4.1 - 5.0              3

5.1 - 6.0             4

6.1 - 7.0              3

7.1 - 8.0              1

See attachment for the histogram

Read more about histograms at:

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Mrs. Simpson is frosting circular sugar cookies. Each cookie is 6 cm in diameter. About how many square centimeters will she need to frost each cookie?

Answers

Answer:

9 pi

Step-by-step explanation:

Answer:

28.274 cm^2 (remember units are important)

Step-by-step explanation:

The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:

A = pi(r^2)

here the radius is 1/2 the diameter of 6 cm:

A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2

[3 x 2⁵ + 13 × (-2)] +7[8-(4-9)]​

Answers

the answer to that question is 161

Consider the function.
f(x)=2 1/2 - 3 1/3
What is the x-intercept of f-1(x)?

o (-3 1/3,0)
o (-3/10,0)
o (3/4,0)
o (2 1/2,0)

Answers

Answer:

Option 4

Step-by-step explanation:

Given function is,

[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Step 2,

Interchange the variables 'x' and 'y',

[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]

Step 3,

Solve the equation for the value of y,

[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]

[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]

[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]

[tex]-3x+\frac{15}{2}=10y[/tex]

[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]

[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]

Step 4,

Convert the equation into inverse function,

[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]

For x-intercepts,

Substitute y = 0,

[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]

[tex]\frac{3}{10}x=\frac{3}{4}[/tex]

[tex]x=\frac{10}{4}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2\frac{1}{2}[/tex]

Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].

Option 4 will be the answer.

What is −y+9z−16y−25z+4 written in simplest form?

Answers

Answer:

[tex] - 17y−16z+4[/tex]

Step-by-step explanation:

[tex] - y+9z−16y−25z+4[/tex]

[tex] - 17y+9z−25z+4[/tex]

[tex] - 17y−16z+4[/tex]

Hope it is helpful....

Plz help I've been crying about this question about number 8 plz help with number 8 I'll give brainiest.

Answers

Answer: I got ~17% (It's 17% as the problem asked for the answer to be rounded)

Step-by-step explanation:

I added the 12 possible chances from the spinner with the 6 sided die chances. This gets me 18. Since the problem is asking the probability of rolling an 8 or 10 alongside a 3, I did 3/18 and got 16.66% (repeating). I'm not entirely sure if I did this right, but I hope this helped somehow. Let me know if it's not the correct answer.

Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each item are as follows:
Item Weight (lb.) Profit
Denim jeans 2.1 $40
CD players 3.2 48
Compact discs 0.8 16
uan wants to determine the combination of items he should pack in his duffel bag to maximize his profit. This problem is an example of a type of integer programming problem known as a "knapsack" problem. Formulate and solve the problem.

Answers

Answer:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

Step-by-step explanation:

Fromproblem statement:

                                    weight (lb) .          Profit $

Denim jeans                    2.1                         40

CD players                       3.2                        48

Compact Discs                0.8                        16

Objective Function z is:

z = 40*x₁  + 48*x₂ + 16*x₃             to maximize

Subject to:

Weight constrain:    5 lb

2.1*x₁  +   3.2*x₂   + 0.8*x₃

x₁≥ 0   x₂  ≥ 0        x₃ ≥ 0      All integers

Using AtomZmath on-line solver and after 2 iterations

Solution:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

The maximized profit is the highest profit Juan can get by selling his items.

The maximized profit is $96

Let x represents the Denim jeans, y represents the CD players and z represent the compact discs.

So, we have the following parameters

Weights

[tex]x = 2.1[/tex]

[tex]y = 3.2[/tex]

[tex]z = 0.8[/tex]

The weight cannot exceed 5 pounds.

So, the constraint is

[tex]2.1x + 3.2y + 0.8z \le 5[/tex]

The profit is given as:

[tex]x = 40[/tex]

[tex]y = 48[/tex]

[tex]z = 16[/tex]

So, the objective function to maximize is

[tex]Max\ Z = 40x + 48y + 16z[/tex]

The integer programming model is then represented as:

[tex]Max\ Z = 40x + 48y + 16z[/tex]

Subject to:

[tex]2.1x + 3.2y + 0.8z \le 5[/tex]

[tex]x,y,z \ge 0[/tex]

Using a graphing calculator, the values that maximize the objective function are:

[tex]x = 2[/tex]

[tex]y = 0[/tex]

[tex]z = 1[/tex]

Substitute these values in the objective function

[tex]Max\ Z = 40x + 48y + 16z[/tex]

[tex]Z = 40 \times 2 + 48 \times 0 + 16 \times 1[/tex]

[tex]Z = 80 + 0 + 16[/tex]

[tex]Z = 96[/tex]

Hence, the maximized profit is $96

Read more about integer programming at:

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HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE

Answers

Answer:

b, c , a

Step-by-step explanation:

I am guessing

Answer:

B, C, D

Step-by-step explanation:

A line passes through the point (2,-5) and is perpendicular to the line with the equation y=1/
5x+5 what’s the equation of the line

Answers

I think that the answer is 5x but I am not sure

Answer:

y = –5x + 5

Step-by-step explanation:

Evaluate each limit given that lim f(x) =1/3 and lim g(x)=2/3

Answers

Answer: 2,1 & 2

Step-by-step explanation:

[tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)] = \frac{-1}{3}[/tex],  [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

What is Limit?

"A limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value."

We have Limit functions

[tex]\lim_{x \to c} f(x)[/tex] [tex]= \frac{1}{3}[/tex]

[tex]\lim_{x \to c} g(x)[/tex] = [tex]\frac{2}{3}[/tex]

(i) [tex]\lim_{x \to c} [3g(x)] = 3 \lim_{x \to c} [g(x)][/tex]

= [tex]3[/tex] × [tex]\frac{2}{3}[/tex]

= 2

(ii) [tex]\lim_{x \to c}[f(x)+g(x)][/tex]

= [tex]\lim_{x \to c} f(x)+ \lim_{x \to c} g(x)[/tex]

= [tex]\frac{1}{3}-\frac{2}{3}[/tex]

= [tex]\frac{1-2}{3}[/tex]

= [tex]\frac{-1}{3}[/tex]

(iii) [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ][/tex]

= [tex]\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}[/tex]

= [tex]\frac{\frac{1}{3} }{\frac{2}{3} }[/tex]

= [tex]\frac{1}{2}[/tex]

∴ [tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)][/tex] = [tex]\frac{-1}{3}[/tex] , [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

Learn more about Limit and limit functions here

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Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent

Answers

Answer:

D) Consistent and Independent

Answer:

D.consistent and independent

Find the surface area of a triangular pyramid.

Answers

Answer:

91in^2

Step-by-step explanation:

SA of base =  7x7 = 49in^2

SA of each triangle = 1/2 x 7 x 3 = 10.5in^2

SA of all 4 triangles = 10.5 x 4 = 42in^2

SA Total = 49 + 42.= 91inch^2

Select the correct answer. Simplify the following expression. 3^2/5 * 3^-7/5

Answers

Answer:

1/6075

Step-by-step explanation:

What is 4× +20= factor form ​

Answers

The answer would be 4(x+5)

What is the area help fast

Answers

Answer:

142.5 cm2

Step-by-step explanation:

The small markings create a new height, so that would be 9.5 cm.

Multiply:

9.5x15=142.5

Therefore, the area is 142.5 cm2

What is the equation of a circle with center (-2,3) and radius 4?
A. (x + 2)^2 +(y-3)^2 = 4
B. (x-2)^2 +(y +3)^2= 16
C. (x + 2)^2 + (y - 3)^2 = 16
D. (x+2)^2- (y - 3)^2 - 16

Answers

The answer is option C

Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American college testing). Scores on both the ACT and the SAT are approximately normally distributed. ACT scores have a mean of about 21 with a standard deviation of about 5.SAT scores have a mean of about 508 with a standard deviation of about 110. Nicole takes the ACT and gets a score of 24. Luis takes the SAT. what score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Answers

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that [tex]\mu = 21, \sigma = 5[/tex]

Nicole gets a score of 24, which means that [tex]X = 24[/tex]. Her z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 21}{5}[/tex]

[tex]Z = 0.6[/tex]

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that [tex]\mu = 508, \sigma = 110[/tex].

The score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.6 = \frac{X - 508}{110}[/tex]

[tex]X - 508 = 0.6*110[/tex]

[tex]X = 574[/tex]

Luis would need to have a SAT score of 574.

Chris drops an egg with a parachute from the top of a building. The height, h, in feet, of the egg above the ground after t seconds is given

by h (t) = 100 - 16t2

After how many seconds does the egg hit the ground?

I

Answers

Answer:

The egg hits the ground after 2.5 seconds.

Step-by-step explanation:

Height of the egg:

The height of the egg after t seconds is given by:

[tex]h(t) = 100 - 16t^2[/tex]

After how many seconds does the egg hit the ground?

This is t for which [tex]h(t) = 0[/tex]. So

[tex]h(t) = 100 - 16t^2[/tex]

[tex]16t^2 - 100 = 0[/tex]

[tex]16t^2 = 100[/tex]

[tex]t^2 = \frac{100}{16}[/tex]

[tex]t = \sqrt{\frac{100}{16}}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

The egg hits the ground after 2.5 seconds.

What is the volume of a cone with a radius of 8.7 inches and height of 14 inches? (Use 3.14
for N)

Answers

Answer:

1109.1cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14 ×8.7² × 14/3

Please answer the question correctly with factual information for brainliest.

Answers

The answer is A and B. To simplify 28=y^2 for have to square root each side in order to get rid of the exponent value. Since the square root is not a whole number value. The answer stays as 28 square rooted. But the alternative answer is 5.2915 so also answer A.

Please help ill give u brainliest!!!

Answers

.........................................

Answer:

221mile per day

Step-by-step explanation:

Mean=total distance her car traveled/days

11477-10150=1327

1327/6=221.167≈221mi

A building has 7 office suites generating annual potential rent of $9,000 each. Vacancy = 8% and annual expenses are $25,000. Vending machines yield $3,000. What is the NOI?

Answers

Answer: use the link

Step-by-step explanation: sdghs/dt/776n.tvbusaa.;

1
32. A friend plans to purchase a mattress that sells for $1200 at a particular store. The store
is offering 15% off any one mattress. He also has an internet coupon for an additional
10% off any discounted price. How much will your friend save (a) in dollar amount and
(b) in percent

Answers

Answer:

(A) Your friend will save $282.

(B) Your friend will get 23.5% off the original price of the mattress.

Step-by-step explanation:

We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.

1,200 x 15% -----> 1,200 x 0.15= 180.

15% of $1,200 is $180.

Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.

1,020 x 10% ------> 1,020 x 0.10= 102.

10% of $1,020 is $102.

Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.

We subtract to see how much money the friend saved.

$1,200 - $918= $282.

We can get the percentage by dividing $282 by $1,200.

282 / 1200= 0.235 decimal form ----> 23.5%

help me it’s more but i can’t post it

Answers

Answer:

( 2 x + 1 ) ( 3 x + 2)

Step-by-step explanation:

srry, i could only do the first one-

Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?

A balance diagram going from 1 to 9. 1 circle is above 3, 4, 5, and 8.
4
5
6
7

Answers

Answer:

they will each get 45 bracelets

Step-by-step explanation:

add all the bracelets then divide by the number of girls

Answer:

B= 5

Step-by-step explanation:

took the test

Tessellations

Determine whether the given figure tessellates the plane.

a. yes
b. no

Please select the best answer from the choices provided

Answers

Answer:

B. No

Step-by-step explanation:

I calculated it logically

Pls help it’s for a grade in math pls help

Answers

Answer:

25,200

Step-by-step explanation:

First, find what 1% equals. Divide the total amount of people by 100. 105,000 divided by 100 = 1050. Multiply this by 24, because:

If 1% = 1050

To get 24% you need to multiply 1% by 24. Whatever you do to o ne side you have to do to the other.

1050 * 24 = 25,200

Therefore, the answer is 25,200 people

I believe that the answer is 25,200

Hope this helped!

in a class of students, the following data table summarizes how many students play an instrument or squirt. What is the probability that a student who plays this for also plays an instrument?

Answers

Answer:

Step-by-step explanation:

What's a squirt? Did you mean sport for the word for?

So there are 15 separate students in all who play a sport and an instrument. There are 4 more that play an instrument, but not a sport.

There are 8 that that do not play an instrument including 2 that don't do either.

So the total is 15 + 4 + 8 = 27

My best guess is that 15 out of 27

P(sport and instrument) = 15 /27  = 5/9 or 0.556

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Factor the expression completely.15x2-5x - 1015x2-5x - 10 = How will eating healthily now affect your body in the future Plz help A bowl has 2 blue candies and 3 red candies inside it.The tree diagram shows that the first event tells us the probability of choosing each blue and red candy.The second event describes the probability of choosing an additional blue and a red candy.Find the value of x and y PLSSS HELP ILL GIVE BRAINLIEST TO THE RIGHT ANSWER make q the subject of 4p=5q-2 answer for 30 points simplify 1/a+b + 1/a-b + 2b/a^2-b^2 Write out a for every statement that relates the amount of methane to the amount of oxygen gas (CH4 + 2O2 = CO2 + 2H2O) In what way is Katherine Anne Porter's story "He" a Modernist work?a) The setting has many features of modern 20th-century life.b) The story focuses mainly on the lives of uneducated, rural characters.c) Porter uses nontraditional, experimental techniques to convey meaning.d) The characters are shaped by forces beyond their control.DONT SEND LINK Evaluate each limit given that limit x->2 f(x)=9.limit x->2 1/3[f(x)]^2= 27limit x->2 3f(x)+5= 32limit x->2 [f(x)]3/2= 27 Seventy-five percent, or 15, of the students inEmily's homeroom class are going on a field trip. Two thirds, or 12, of thestudents in Santiago's homeroom class are going on the field trip. Whichclass has more students? Justify your answer. What was the fastest growing industry during the 1950s? Why? Johanna can jog 24 feet in 5 seconds. If she jogs at the same rate, how many feet can she jog in 8 seconds? PLSS help! What happened after Texas became a part of the U.S.? Standard & Poors and Moodys would be least helpful while making decisions concerning the purchase of _____.municipal bondssavings bondsjunk bondscorporate bonds WHAT IS CULTURE AND HOW DOES IT COME ABOUT ? The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?A) 1/5B) 1/3C) 3D) 5 The Whigs were opposed to the idea of expansion of the nation because they did not want to expand the area of ___. A. slavery B. immigrants C. independence D. indians E. antislavery as the SP of your school you have been invited to tell the PTA what your school needs most write a speech 3. Cul de las siguientes te parece una mejor definicin del concepto Esttica?a. Disciplina filosfica que estudia la expresin del sentimiento, la satisfaccin del espritu y labsqueda de la belleza a travs del arte.b. Tcnica que utiliza el adorno y cuidado del cuerpo y de los objetos materiales, en busca desatisfacer la necesidad de perfeccin exterior del ser humano.c. Ciencia que analiza las actividades creativas de las personas que intentan comunicar susideas y su percepcin de la realidad, por medio de obras materiales.d. Rama de la filosofa que se encarga de investigar el uso de la voluntad para lograr el biencomn del individuo y la sociedad, expresada a travs de los valores morales.