Which matrix equation represents the system of equations?
[4x - 2y = -7
3y = 5
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
How to write a system of linear equations in matrix form?Three easy steps must be taken in order to express any system of linear equations in matrix form:
1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.
2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.
3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.
How to solve this problem?Given system of linear equations:
4x - 2y = -7
0x + 3y = 5
The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].
The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].
[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]
The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.
Learn more about matrix here -
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The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
Rewrite the expression in the form
HELP!!!
What is the Area!
Answer:
0.375
Step-by-step explanation:
1*3/4*1/2=0.375
Kendra started making jewelry to sell. She spent $12 for supplies to make four bracelets. She will sell the
bracelets for $5 each. If each bracelet takes two hours to make, how much money will Kendra earn per
hour?
Answer:
$1
Step-by-step explanation:
4 x 5 = 20
20 - 12 = 8
4 x 2 = 8
8/8=1
2(3x – _) = 6x + 8 Using the distributive property, what would go in the blank in order for the given statement to be correct?
Answer:
2(3x - (-4)) = 6x + 8
Step-by-step explanation:
2(3x - A) = 6x + 8
6x - 2A = 6x + 8
Equating constant terms on both sides :
-2A = 8
A = -4
Therefore, 2(3x - (-4)) = 6x + 8
Answer:
Step-by-step explanation:
2(3x-(-4))=6x+8
2*3x=6x
2*-(-4)=8
Negative times negative makes positive 4
I need to know the answer for this so please help
Answer:
(2,-1) _______________
You start at (2, -1). You move down 3 units and left 3 units. Where do you end? graph
Answer:
Hi there, mizuki here to answer
The correct answer should be:(-1, -4)
I also put a image of the graph, anyways hope this helped(red dot is the final area, blue dot is the starting point[2,-1])
Step-by-step explanation:
what is the measure of
Answer:
88 degrees
Step-by-step explanation:
Since x and z have the same angel their degrees is the same
1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift. Amount of Tip ($) Number 0 up to 20 200 20 up to 50 100 50 up to 100 75 100 up to 200 75 200 or more 50 a) What is the probability of a tip of $200 or more? b) What is the probability of a tip of up to $50?
Answer:
a) 0.1 = 10% probability of a tip of $200 or more.
b) 0.4 = 40% probability of a tip of up to $50.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Distribution:
Total of 500 checks.
200 with tips in the interval of 0-20.
100 with tips in the interval of 20-50.
75 with tips in the interval of 50-100.
75 with tips in the interval of 100-200.
50 with tips of 200 or more.
a) What is the probability of a tip of $200 or more?
50 out of 500. So
[tex]p = \frac{50}{500} = 0.1[/tex]
0.1 = 10% probability of a tip of $200 or more.
b) What is the probability of a tip of up to $50?
200 out of 500. So
[tex]p = \frac{200}{500} = 0.4[/tex]
0.4 = 40% probability of a tip of up to $50.
Please help me. Max and bella are two thirsty dogs after playing fetch they drank water . Rebbi drank 1/3 of a gallon of water babe drank 2/3 of the same gallon of water. How much of the gallon did the dogs drink?
Answer:
the whole gallon
1/3 + 2/3 = 3/3
The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 inches. (The long side which it sits on in the image below is the height.) Find the volume of the speaker.
Answer:
92 dB
Step-by-step explanation:
Fsf
Answer:
[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]
A shopkeeper sold 8 toys on the first day. The number tripled every
subsequent day. Find the total number of toys sold in six days.
Answer:
2912
Step-by-step explanation:
the answer is 2912 toys.....
The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?
$59.00
$63.00
O $65.00
O $76.00
Answer:
Step-by-step explanation:
57 divided by 6 = 7.5
9.5 x 8 = $76
Answer:
D.$76.00
Step-by-step explanation:
11. A grocery store sells almonds for $2.30 per pound, tax included. A shopper buys 1.8 pounds of almonds from the store. She uses a coupon to save 10% off the total cost of the almonds. Rounded to the nearest cent, how much does the shopper pay for the almonds? O A $0.41 O B.$3.73 O c.$3.91 O D.$4.55
Quintin read a report claiming that 4% of police officers in the US have had a formal complaint filed
against them. Quintin suspects that this figure is higher in his state. He obtains a random sample of records
for 500 officers from the approximately 20,000 officers in his state. He wants to use these data to test
H : p=0.04 versus H:p > 0.04, where p is the proportion of officers in Quintin's state who have
had a formal complaint filed against them.
Which conditions for performing this type of significance test have been met?
Answer:
A, B, C
Step-by-step explanation:
Got it right on khan academy
Helppp find the value of y lamooooo
Answer:
4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)
so, solving that eq,
4x-2x = 9+13 (grouping variables and constants)
2x=22
x=11
also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)
so, solving for x in 2x+9,
2(11)+9 = 22+9 = 31°
now, 31 + 3y+2 = 180
3y = 180 - 33
y = 147/3 = 49
(hoping you understood the calculations :)
The author received a total of $195,000 for the book sales. How many hardcover books were sold? Type in numbers only.
Answer:
Total 390 hardcover books were sold
Step-by-step explanation:
Complete question
The author received a total of $195,000 for the book sales. How many hardcover books were sold if the cost of one hardcover book is $500. Type in numbers only.
Solution
Given-
Total value of sale of hard cover = $195,000
Cost of one hardcover book = $500
Number of books sold = Total value of sale of hard cover/Cost of one hardcover book
Number of books sold = $195,000/$500
Number of books sold = 390
Total 390 hardcover books were sold.
ILL GIVE BRAINLIEST
ILL GIVE BRAINLIEST!
Jeremy has a scone that is in the shape of an equilateral triangle How many different ways can he cut it so that he has two pieces that are mirror
images of each other?
Α. 0
B. 1
C. 2
D. 3
Answer: He can cut it in 3 different ways since all three sides of an equilateral triangle are the same length.
Hope this helped!
Please give brainliest!
14. Which makes the number sentence true?
12 - 3= 7+_
9:25 p.m. in 24 hour time is written a
Answer:
21:25
Step-by-step explanation:
9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.
I need the answer HELP HELP HELP HELP
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
If there are 82 students and they read 1000 books what is the average number of books the students read round it to the nearest whole number
Answer:
12 books read per student
Step-by-step explanation:
1000 divided by 82 is close to 12
Answer:
12 books
Step-by-step explanation:
Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".
Step 1: Divide 1000 by 82
[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]
Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.
Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number
[tex]12.1951219512 \\= 12[/tex]
Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.
Answer:
The area of the kite is 27.6 cm²
Step-by-step explanation:
Given;
dimension of the equilateral triangle, = 6 cm
dimension of the isosceles triangle = 5 cm
Please check the image uploaded for a detailed solution.
Hi! Kan someone fill in the blanks with either addition, subtraction, multiplication, or division?
I had some trouble finding the answer :/
A photograph measures 3 inches tall and 5 inches wide. Becky wants a larger print of the photograph that is 25 inches wide. How many inches tall should the larger print be if it is to be in proportion to the smaller photograph?
Answer:
15 inches tall
Step-by-step explanation:
every 3 inches increased, the width increases by 5.
Hello can someone answer this question please
1/4 = 0.25 is the largest value..
It is right answer....
Do you think credit card banks want customers to pay off their balances?
Answer:
No.
Step-by-step explanation:
what is the maximum height (h) of the function h=-16t^2+20t+6
plz plz show ur work
Answer: hi there is think that I can help you with your problem!
h = -16t^ 2 + 20t + 6 ....the ball will hit the ground when h = 0
0 = -16t^2 + 20t + 6 factor
0 = ( -8t - 2 ) ( 2t - 3) set each factor to 0
-8t - 2 = 0 and 2t - 3 = 0
-8t = 2 2t = 3
t = -2/8 = - 1/4 sec [reject] t = 3/2 sec = 1.5 sec
Max ht will be reached at [ -b / 2a ] sec = -20 / [ 2(-16)] = 20/32 = 5/8 sec
Step-by-step explanation:
-16t^2+20t+6 = 0
will give you the times that the ball is on the ground. The negative root accounts for the fact that the ball is 6 feet above ground at t=0.
I get t=3/2 and t=-1/4
-2(2t -3) (4t +1) = 0
2t -3 = 0
2t-3 + 3 = 0 + 3
2t = 3
t = 3/2 second
I hope that I helped you and have a nice day.