1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MatroZZZ [7]
3 years ago
15

Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\

so,  

Point \ A(-8,-3)

When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\

so,  

Point \ B(-4,-1)

When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\

so,  

Point \ C(0,1)

When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\

so,  

Point \ D(2,2)

When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\

so,

Point \ E(6,4)

You might be interested in
Raj encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear text code
Natali5045456 [20]

Answer:

THE CORN IS YUMMY

Step-by-step explanation:

Understanding the question:

Raj encoded a secret phrase using matrix multiplication. For that he first converted each letter in that phrase to integers using the following codes:

A=1,B=2,C=3,D=4,E=5,F=6,G=7,H=8,I=9,J=10,K=11,L=12,M=13,N=14,O=15,P=16,Q=17,R=18,S=19,T=20,U=21,V=22,W=23,X=24,Y=25,Z=26

We suppose that Raj had a matrix X formed by letters of that phrase encoded in integers/numbers. And he multiplied that matrix X with matrix C to get an encoded matrix, let us say 'encoded X'.

Where; C = \left[\begin{array}{ccc}2&5\\1&2\end{array}\right]

and encoded X = \left[\begin{array}{ccc}85&111&135&111&95&101&153\\38&48&55&45&41&44&64\end{array}\right]

What we need now is X.

<u>Raj got from the phrase to encoded matrix by:</u>

1. Encoding each letter into numbers and forming a matrix X.

2. Multiplying that matrix with another Matrix C to obtain the given encoded matrix.

<u>To find the secret phrase we will reverse the steps as:</u>

1. Multiplying the encoded matrix by 'Inverse of Matrix C' to get matrix X.

2. Converting the elements of X into alphabets.

Inverse of C = (Adjoint of C)/Determinant(C)

Adjoint of \left[\begin{array}{ccc}2&5\\1&2\end{array}\right] = \left[\begin{array}{ccc}2&-5\\-1&2\end{array}\right]

Determinant of C = |C| = ad - bc = 2*2 - 5*1 = -1

Inverse of C = \left[\begin{array}{ccc}2&-5\\-1&2\end{array}\right] / (-1)

= \left[\begin{array}{ccc}-2&5\\1&-2\end{array}\right]

Multiplying Inverse(C) and encoded X = \left[\begin{array}{ccc}-2&5\\1&-2\end{array}\right] \left[\begin{array}{ccc}85&111&135&111&95&101&153\\38&48&55&45&41&44&64\end{array}\right]

=\left[\begin{array}{ccc}20&8&5&3&15&18&14\\9&19&25&21&13&13&25\end{array}\right]

Converting these elements back to alphabets, we get:

=\left[\begin{array}{ccc}T&H&E&C&O&R&N\\I&S&Y&U&M&M&Y\end{array}\right]

Hence, it is obvious that the secret phrase is "THECORNISYUMMY"

The location of spaces are between every word ( THE CORN IS YUMMY).

4 0
3 years ago
Read 2 more answers
Clothing dan has 4 pairs of white​ socks 5 pairs of black​ socks, and several pairs of blue socks. has 12 pairs of socks altoget
Troyanec [42]

Answer:

3 I think is the answer

If it i´snt sorry:(

5 0
3 years ago
A company plans to enclose three parallel rectangular areas for sorting returned goods. The three areas are within one large rec
Svetlanka [38]

Answer:

The largest total area that can be enclosed will be a square of length 272 yards.

Step-by-step explanation:

First we get the perimeter of the large rectangular enclosure.

Perimeter of a rectangle =2(l + w)

Perimeter of the large rectangular enclosure= 1088 yard

Therefore:

2(L+W)=1088

The region inside the fence is the area

Area: A = LW

We need to solve the perimeter formula for either the length or width.

2L+ 2W= 1088 yd

2W= 1088– 2L

W = \frac{1088-2L}{2}

W = 544–L

Now substitute W = 544–L into the area formula

A = LW

A = L(544 – L)

A = 544L–L²

Since A is a quadratic expression, we re-write the expression with the exponents in descending order.

A = –L²+544L

Next, we look for the value of the x coordinate

L= -\frac{b}{2a}

L= -\frac{544}{2X-1}

L=272 yards

Plugging L=272 yards into the calculation for area:

A = –L²+544L

A(272)=-272²+544(272)

=73984 square yards

Thus the largest area that could be encompassed would be a square where each side has a length of 272 yards and a width of:

W = 544 – L

= 544 – 272

= 272 yards

7 0
3 years ago
A flagpole is 10 feet tall. Its shadow is 12 feet long. How far is it from the top of the flagpole to the end of its shadow
zhannawk [14.2K]
Assuming right angle, root 10^2+12^2 and you get 2 root 61
3 0
3 years ago
The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 26 ft long, what is its volume?
Mandarinka [93]

Answer:

Step-by-step explanation:

First find the area of the circular base. The diameter is 6, so the radius is 3.

A circle is pi r square, so it is 3.14 x 3^2, = 28.26

Multiply that by the length 28.26 x 26 = 734.76, which rounds to 735 cubic feet.

5 0
3 years ago
Other questions:
  • What is the equation of the line in slope-intercept form?
    7·1 answer
  • Find the fifth term in the sequence
    9·1 answer
  • Please help me thank you
    7·1 answer
  • Angle EFG has a measure of 133º. Triangle EFG is rotated 180° counterclockwise about point F to create triangle E'F'G'.
    7·2 answers
  • Solve please I’m trying to find out if it’s 1/20 or 5/4
    12·2 answers
  • 22. Marlenny travels 42 blocks to school, which is three times as far as Alya does. If Alya moves
    5·1 answer
  • HI PLEASE ANSWER BEFORE 12:00a.m. EST
    15·2 answers
  • The area of manang district is square kilometre is 2,246 find the prime factors of 2246​
    8·1 answer
  • What is the slope of the line that passes through the points (-5, 8)(−5,8) and (-11, 8) ?(−11,8)? Write your answer in simplest
    5·1 answer
  • Find the mean, range, and interquartile range of the heights of plants given
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!