Select all ordered pairs that satisfy the function y= -1/2x + 4 a) (-1, 3&1/2) b) (1, 3&1/2) c) (2&1/2, 3) d) (2, 3)

Answers

Answer 1

Answer:

The correct options are:

Option b) (1, 3 + 1/2)

Option d) (2,3)

Step-by-step explanation:

Suppose that we have a function:

y = f(x)

A ordered pair (a, b) satisfies this function if:

b = f(a).

In this case, the function is:

y = -(1/2)*x + 4

Let's try with each one of the options:

a) (-1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*-1 + 4

3 + 1/2 = 1/2 + 4

3 + 1/2 = 4 + 1/2

This is false, then the point (-1, 3 + 1/2) does not satisfy the function.

b) (1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*1 + 4

3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2

3 + 1/2 = 3 + 1/2

This ordered pair satisfies the function.

c) (2&1/2, 3)

Replacing these values we get:

3 = (-1/2)*(2 + 1/2) + 4

3 = -(1/2)*2 - (1/2)*(1/2) + 4

3 = -1 - 1/4 + 4

3 = 3 - 1/4

This is false, then the point (2 + 1/2, 3) does not satisfy the function.

d) (2, 3)

Replacing these values in the function we get:

3 = -(1/2)*2 + 4

3 = - 1 + 4

3 = 3

This is true, then (2, 3) satisfies the function.


Related Questions

PLEASE HELP 35 POINTS
Find the value of x in the triangle shown below.

Answers

Answer:

a

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

b= 4.123..

Find you equation of the line shown

Answers

Answer:

y=x+6

Step-by-step explanation:

(0,6). y=mx+b or 6=1 × 0+b, or solving for b: b=6-(1)(0). b=6.

(1,7). y=mx+b or 7=1 × 1+b, or solving for b: b=7-(1)(1). b=6.

I inputted two points from the graph and solved them.

Hence the equation would be y=x+6

Answer:

y= x + 6

Step-by-step explanation:

For here we are looking for y= mx +b.

For the slope, It is y= 4/4.

That can be simplified into 1x or x.

Then look at where it contacts the y axis. It is at six. Plug all that in to get

y= x + 6

hope this helps!!

Jill and John each had a candy bar. Jill at ¾ of the candy bar and John at 3/8 of his candy bar. Who ate the most?

Answers

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

don bought the bookshelf for 42 dollars this was 3/4 of the regular price

Answers

Answer:

Regular Price = $56

Step-by-step explanation:

3/4 x = 42

42/3 * 4 = x

14 * 4 = 56

x - 56

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Morgan correctly answered 90% of the questions on her history test. She answered 36 questions correctly How many questions were on the test?

(A)33
(B)40
(C)48
(D) 126​

Answers

Answer:

(B)40

Step-by-step explanation:

use the mark given and divide it by 90 percent take the answer given and multiply it by one hundred

Answer:

B) 40

Step-by-step explanation:

If 90% = 36

100% = ?

Cross Multiplying

100 x 36/ 90 = 40

which means there were 40 Questions on the test.

find the surface area.

Answers

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

Two geometry questions in the attached photos - If I have a line, do I have a plane? & If I have three points, do I always have a plane?

Answers

Answer:

18) A: only if you have an additional point not on the line.

19) D: No, because all the points may be on the same line.

Step-by-step explanation:

There are basically 4 ways we can determine a plane and they are;

- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.

- When we have a line and a point that's not on the line

- When we have two lines that intersect each other.

- When we have two lines that are parallel to each other.

From the four conditions above, we can now answer the question;

18) You can only have a plane if there is an additional point not on the line.

Option A

19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.

A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?

81%
90.09%
90.9%
99%
180%

Answers

99%
hope this helps :)


A tv costs £1300. Work out the price after a 4.2% price increase.

Answers

Answer:

HII

1

Step-by-step explanation:

The tv would cost £1354.60

En una progresion geometrica el primer termino es 4 ¿ cual debe de ser la razon para que la suma de sus infinitos sea 5?

Answers

Respuesta:

La proporción común del término puede ser 1/5

Explicación paso a paso:

La fórmula para calcular la suma al infinito de una secuencia geométrica se expresa como:

Sinfty = a / 1-r

Dado

Sinfty = 5

Primer término a = 4

Requerido

Razón común r

Sustituir

5 = 4/1-r

5 (1-r) = 4

5-5r = 4

-5r = 4-5

-5r = -1

r = 1/5

Esto significa que la razón común debe ser 1/5 para que la suma hasta el infinito sea 5

NEED THE ANSWER PLEASE

Answers

Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex]  = 48°

∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°

m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]

m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)

∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°

m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]

∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°

m[tex]\widehat{EG}[/tex] = 89°.

Simplify the expression to a polynomial in standard form:
(3x − 2)(x^2 – 2x + 1)

Answers

Answer:

The polynomial in the standard form of this expression would be [tex]3x^3-8x^2+7x-2[/tex].

Step-by-step explanation:

If you are trying to expand a binomial multiplied by a trinomial, you need to multiply each term from the binomial to each term in the trinomial. In this case, [tex](3x-2)(x^2-2x+1)=3x^3-6x^2+3x-2x^2+4x-2=3x^3-8x^2+7x-2[/tex], so that will be the answer.

A polygon has vertices at (4, 1), (4,7), (10, 7) and (10, 1). How does the perimeter of
the polygon change if each coordinate is multiplied by 3?

Answers

Answer: The perimeter triples

The perimeter goes from 24 to 72

24*3 = 72

==========================================================

Explanation:

I recommend plotting the four points on the same xy grid system. Connect the points with segments to form a rectangle. This rectangle is also a square. You should find that each side of the square is 6 units long, so the perimeter is 4*6 = 24 units.

If we multiply each coordinate by 3, then that will make each side length 3 times longer than before. That means each side is now 6*3 = 18 units long. The perimeter is 4*18 = 72 units.

Note how the jump from 24 to 72 is "times 3". Therefore, the scale factor of 3 will make the new perimeter 3 times longer compared to the old perimeter.

PLS HELP ASAP
In how many ways can a starting team of 5 players be chosen from a team of 14 players?

Answers

Answer:

So are we doing permutations

Step-by-step explanation:

P(14,5)14*13*12*11*10

There are 240,240 ways to order the team.

There are 240 ways a starting team of 5 players can be chosen from a team of 14 players.

What are permutations?

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

Suppose there are n items.

Suppose we have

[tex]i_1, i_2, ..., i_k[/tex]

sized groups of identical items.

Then the permutations of their arrangements is given as

[tex]\dfrac{n!}{i_1! \times i_2! \times ... \times i_k!}[/tex]

P(14,5) = 14 x 13 x 12 x 11 x 10

           = 240

There are 240 ways to order a team of 14 players.

Learn more about permutations here:

https://brainly.com/question/16107928

#SPJ2

Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.

Answers

Answer:

Proved , since LHS= RHS

Step-by-step explanation:

We need to prove the given expression ,

=> 1 + cos x / 1 + sec x = cos x

Simplifying LHS.

=> 1 + cos (x) / 1 + sec (x)

=> 1 + cos (x) / 1 + 1/cos (x)

=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)

=> 1 + cos (x) × cos(x) / { 1 + cos (x) }

1 + cos (x) gets cancelled . So we are finally left out with ,

=> cos (x)

= RHS

Hence proved !

Estimate: 587 is about what percent of 1,012?

Answers

Answer:

its 58

it is very simple to answer just find the percent of it

Find the circumference of the given circle. Round your answer to the nearest whole number.

Answers

Answer:

circumference = 31 inches

Step-by-step explanation:

using the Pythagorean theorem:

diameter² = 8² + 6² = 100

diameter = √100 = 10

circumference = 10 x 3.14 = 31.4 inches

Which statements about the triangles are correct? Select TWO answer choices that apply.

A
Triangle P is similar to triangle Q.

B
Triangle P is a reflection and rotation of triangle Q.

C
Triangle P is congruent to triangle Q.

D
Triangle P is a reflection and a dilation of triangle Q.

E
Triangle P is a dilation and a 180° rotation of triangle Q.

Answers

A-are similar because they simply have different dimensions
E-rotation 180 degree ,and dilation
I hope I helped you☺️


The surface area of a figure is 62 cm^2. If the dimensions are multiplied by 4, what will be the surface area of the new figure?

Answers

Answer:

248 cm

Step-by-step explanation:

62×4=248

62+62=124+64=186+64=248 cm

True or False: When a preimage rotates 1/4
around an origin, the rotation is a 180 degree
turn.

Answers

Answer:

True :)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

got it right

Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?

Answers

Answer:

170 pages

Step-by-step explanation:

Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution

The number of pages he read for the first day :

The first day 1/5 of the pages of the book

This is calculated as:

1/5 × 340 pages

= 68 pages

For the second day:

The second 1/4 of what remains to be read

The number of pages remaining after the first day is calculated as:

340 - 68 = 272 pages

Hence, the number of pages read on the second day is

1/4 × 272 pages

= 68 pages

For the third day

One the third day, 1/6 of the rest was read.

The number of pages remaining after the first day is calculated as:

272 - 68 = 204 pages

Hence, the number of pages read on the third day is

1/6 × 204 pages

= 34 pages

Therefore, the number of pages Roberto has to read on the fourth day is calculated as:

340 pages - (68 + 68 + 34)pages

340 pages - 170 pages

= 170 pages

Which is the perimeter of the shape? (1 point)

Answers

Answer:

22

Step-by-step explanation:

4 x 2 + 7 x 2 = 22

Answer: 22

Step-by-step explanation:

to find perimeter you have to add up all the sides around a shape.

7 + 7 + 4 + 4 = 22

OR

7+7= 14

4 + 4 = 8

14 + 8 = 22

Find the missing dimension of the triangle. Area =14ft^2, height =6ft, base= ? Find the base.

Answers

Answer:  b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

================================================

Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

Does anyone know how to solve this?

Answers

Answer:

17 meters

Step-by-step explanation:

Plug x=30 into the equation H(x) = 11 + 0.2x

H(30) = 11 + 0.2 * 30

H(30) = 11 + 6

H(30) = 17

Thus, the answer is 17 meters.

HELP PLS PLS IM BEGGING

Answers

Answer:

to every 3 buckets with a shovel there is 4 buckets without a shovel

What is AB?
12
C
35
AB =

Answers

Answer:

37

Step-by-step explanation:

the equation is /a^2 + b^2 =c

so 12^2=144 and 35^2=1225

144+1225=1413

the square root of 1413 is equal to 37

The electrical resistance of a wire is directly proportional to its length.
A wire of length 10 feet has a resistance of 2 ohms.
ment
Part A
What is the resistance of a wire if its length is 25 feet?
20 ohms
6 ohms
50 ohms
5 ohms
10 ohms
ig
Part B
What is the length of a wire if its resistance is 8 ohms?
A
48 ft
4 ft
1.6 ft
32 ft
40 ft

Answers

Answer:

https://www.arlingtonschools.org/cms/lib/NY02215626/Centricity/Domain/5167/Skill39AK.pdf

Step-by-step explanation:

Classify this triangle by its sides.

Answers

Step-by-step explanation:

The answer is scalene triangle

Answer:

scalene

Step-by-step explanation:

all the sides of a scalene triangle have different lengths, as shown in the picture :)

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! NO SCAM LINKS !!!!!!!!!!!!!!!!!!

Answers

Answer:

115

Step-by-step explanation:

180-65=115

the whole triangle is 180 degrees so subtract 65 degrees from it

please help me rn!! no links!

Answers

Answer:

D

Step-by-step explanation:

Other Questions
PLS HURRYJaime rode her bike 5 miles north to the park to meet a friend. Then they rode east to the library. If Jaime's house is 13 miles from the library, about how far is the library from the park? A barista in a coffee shop is preparing a customer's order using a cylindrical cup. The cup has a diameter of 9.5centimeters, and the height of the cup is 3 times its radius. The cup is to be filled completely with coffee.Rounded to the nearest hundredth of a cubic centimeter, how much coffee can the cup hold it filled completely?425.081.009.562,019.1203.028.684,038.24 Why is Alice'sAdventures in Wonderland considered a parody? com to enjoy dont give fkin lecture hsb-tnug-fyt What growth factor would be needed to provide 1/12th of 12% interest each month image of a wright brothers plane Gail bought 7/8 pound of cheese and Jose bought 1/3 pound of cheese. How much more cheese did Gail buy than Jose? Find the area of the shaded sector. Round to the nearest hundredth Que tipo de musica escuchaba Panchito y Roberto? A bat emits a 40 kHz chirp to locate flying insects. If the speed of sound is 340 m/s and a bat hears the echo from the moth after 0.6 seconds, then how far away is the moth? pls helpWhich excerpt illustrates the communitys sameness?He killed it! My father killed it! Jonas said to himself.I have a great honor, so will you. But you will find that is not the same as power.Before my time, before the previous time, back and back and back. We relinquished color when we relinquished sunshine and id away with difference. We gained control of many things, but we had to let go of others.Sometimes I wish theyd ask for my wisdom more often there are so many things I could tell them. how long did the proccess of building the leaning tower of pisa take?A.375 yearsB.275 yearsC.344 yearsD.244 years Based on the excerpts, which of the following sentences correctly uses the word aversion?His aversion for food has caused a drastic weight gain.He drove down the street with such aversion.Her tone of voice was full of aversion.She has always had an aversion to flying. A skydiver is 780 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 20 meters per second. What is a function that would best model this situation?y = 20x - 780 y= 20x + 780 y =780 + 20x y = 780 - 20x Where did the great migration occur? two specials in Tamil Nadu An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion, as shown in this graph. (a) What is the period and frequency of the pendulums motion?(b) How many seconds out of phase with the displacements shown would graphs of the velocity and acceleration be?(c) What is the acceleration due to gravity on the surface of the planet in? Determine the number of g-forces. Show any necessary calculations. What is the rate of Change in y=8x - 4 important question need help What was the effect of moving from hunting and gathering to a more agraran based society ?