The given augmented matrix represents a system of linear equations. To find the solution set, we perform row operations to transform the matrix into row-echelon form. The matrix is already in row-echelon form, and we see that the last row corresponds to the equation 0 = 0, which is always true. This means that the system has infinitely many solutions. We can write the solution set in parametric form as x1 = -3x3 + 51, x2 = 12x3 - 44, and x3 is free. Therefore, the solution set has infinitely many solutions.
The given augmented matrix represents a system of linear equations in three variables. We need to solve this system to find the solution set. To do so, we use row operations to transform the matrix into row-echelon form. The row-echelon form of the matrix has zeros below the leading entries of each row, and the leading entry of each row is a 1 or the first nonzero entry. Once the matrix is in row-echelon form, we can easily read off the solution set.
The given augmented matrix represents a system of linear equations with infinitely many solutions. The solution set can be written in parametric form as x1 = -3x3 + 51, x2 = 12x3 - 44, and x3 is free. Therefore, the solution set has infinitely many solutions.
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Triangle A'B'C' is the image of triangle ABC after a sequence of rigid motions,
Answer:
The sequence are:
i. reflection about the y-axis
ii. 2 units translation downwards
iii. 1 unit translation to the right
Step-by-step explanation:
Rigid transformation is a process of producing the image of a given figure or shape by either reflection, rotation, dilation or translation method. Thus the orientation and size of the figure changes with respect tot the method applied.
For the given question, some sequence were applied to produce the image of ABC.
The sequence are:
i. reflection about the y-axis
ii. 2 units translation downwards
iii. a unit translation to the right
HELP I NEED HELP ASAP
A. Day 4 to Day 6
B. Day 8 to Day 10
C. Day 6 to Day 8
D. Day 10 to Day 12
Answer:
b
Step-by-step explanation:
trust i did it already
Answer:
the answer is B
Step-by-step explanation:
I just had that question
TOOS
4
The number of books (b) in a preschool classroom is proportional to the number of children (C) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the
classroom?
A. 6 = 30
B. b = 3-0
C. 6 = 3 +0
o D. 6 = 1/2
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Answer:
Step-by-step explanation:
Given that:
Number of books, b α number of children enrolled
b α C
b = kC
Number of books, b = 3 for each child, c = 1 enrolled
Total number of books in class room :
Total number of books = Number of books per child * Number of child)
Total number of books = 3 * Numbe of child
The answer is c i believe
Can someone solve this please?
Answer: x = 1/2
Step-by-step explanation:
There are two right angle triangles, triangle ABC and Triangle EDF. Measure of angle ACB and angle EFD are 90. Side AB is congruent to side ED, Side AC is congruent to side DF. What theorem can be used to show that ABC ≅ DEF?
Answer:
SAS theorem
Step-by-step explanation:
Given
Triangles ABC and DEF
[tex]AB = ED[/tex]
[tex]AC = DF[/tex]
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex]
Required
Which theorem shows the similarity between both triangles
The following can be deduced from the given parameters.
[tex]AB = ED[/tex] ===> Equal Sides
[tex]AC = DF[/tex] ===> Equal Sides
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex] ===> Equal Angle
This implies that two sides and 1 angle of both triangles are equal.
Hence, the theorem to use is the SAS theorem.
Please help, I have ask it 5 times. Please.
Answer:
Pair 1: GM and LJ
Pair 2:HI and LM
Step-by-step explanation:
The markings on the line show which lines are congruent to each other. This means that line HI and ML are congruent because they have similar markings. And you could say the same for line JL and MG because it has 2 lines that mark it as congruent to eachother.
So basically your answers are GM and LJ as one pair and HI and LM as another
Help I will be marking brainliest!!!!
A. 55.33
B. 156.16
C. 72
D. 61.16
Answer:
do RN/RM first which will be 95/73 which is 1.30 and use this to multiply 47 which is 47*1.3 61.1
ANSWER = D.
I first got the variable of 1.3 which is multiply that by RM to get RN and then useing that logic you multiply 1.3 by MP to get QN
MARK ME BRAINLIEST
Draw a rhombus with diagonals 4 and 6. What is the area of the rhombus?
first of all you have to draw a rhombus
area (d+d)/2
(4+6)/2
5
Write 6 ,7,8,9 or 10 and 12
Answer:
9
Step-by-step explanation:
Can someone help me please
Answer:
625
Step-by-step explanation:
4. What is the axis of symmetry for h(x) = 19(x – 5)^2 + 6
Answer:
x = 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k ) are the coordinates of the vertex and a is a multiplier
h(x) = 19(x - 5)² + 6 ← is in vertex form
with vertex (h, k ) = (5, 6 )
The axis of symmetry is a vertical line passing through the vertex
with equation x = 5
Helppp plssss this is due soooon
please help w steps! asap
Answer:
(4,6)
Step-by-step explanation:
The midpoint=([tex]\frac{5+3}{2} ,\frac{11+1}{2} )[/tex]
=(4,6)
Find the 9th term of the geometric sequence 6, -24, 96,
Step-by-step explanation:
the process is show in the above picture.
Kamila buys a notebook for $1.59 and pens for $0.29 each. She spends $5.07.
Define a variable that can be used to determine how many pens she bought.
Write an equation using the variable and solve to determine how many pens she bought.
Answer:
12 pens
Step-by-step explanation:
Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.
Price of a notebook = $1.59
Price a pen = $0.29
Total amount spent = $5.07
But,
1.59 + 0.29 n = 5.07
So that,
0.29 n = 5.07 - 1.59
0.29 n = 3.48
n = [tex]\frac{3.48}{0.29}[/tex]
= 12
Therefore, Kamila bought 12 pens.
A certain population is initially 8,951 but declines by 8% every second. Find an exponential formula that gives the population as a function of time. What will be the population after half of a minute?
9514 1404 393
Answer:
734
Step-by-step explanation:
The growth factor is 1 -8% = 0.92. This is the base of the exponential formula. The multiplier is the initial value, so you have ...
p = 8951×0.92^t
When t=30, this evaluates to ...
p = 8951×0.92^30 ≈ 733.68
The population after half a minute will be about 734.
A game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice
of 100, and then again randomly, picking a ball (red or black) from it.
Each bag has the same total number of balls (10).
Bag options
Ball options
a) Complete the tree diagram.
0.6 Red
b) Work out the probability that a player
will select a red ball.
0.4 -Black
0.35
0.2
Red
0.45
2.
0.8
Black
c) The same player is going to play the
game 200 times consecutively.
How many black balls should he
expect to pick?
0.7
Red
3
0.3
Black
Answer:
A=0.2
b=0.2 x 0.7=0.14
0.45 x 0.2=0.09
0.44
c=112
Step-by-step explanation:
2. A bacteria population is modeled by the equation p(n)= 10,000.2", where h is the number of hours since
the population was measured.
About how long will it take for the population to reach 100,000?
Answer: its 3 the answer is 3
Step-by-step explanation:
Expand: f(x)= x^4- x^3+x^2+x-
A line passes through point (-2, 5) and has a slope of 5/2.
Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.
Answer:
5x-2y=-20
Step-by-step explanation:
y-y1=m(x-x1)
y-5=5/2(x-(-2))
y-5=5/2(x+2)
y-5=5/2x+10/2
y-5=5/2x+5
y=5/2x+5+5
y=5/2x+10
y-5/2x=10
-5/2x+y=10
2(-5/2x+y)=2(10)
-10/2x+2y=20
-5x+2y=20
5x-2y=-20
Solve for y when f(x)=2x^4-5
Of the following test scores, who do you think received the best score? The worst score? Why?
Carla : 3 out of 5
Desmond: 20 out of 25
Ignacio: 6.5 out of 10
Gina: 38 out of 50
Answer:
Desmond
Step-by-step explanation:
3 over 5 x 100% = 60%
20 over 25 x 100% = 80%
6.5 over 10 x 100% = 65%
38 over 50 x 100% = 76%
Jacob has $100 in his savings account. The interest rate is 5% per year. How much interest will he earn in 1 year?
Damian is buying tickets to a movie. The movie he and his friends want to see costs $ 4.85 $4.85 per ticket. Damian has $ 32.00 $32.00 total.
Answer:
What is the question?
Step-by-step explanation:
Kelsey put 6 gallons of water in the cooler. How many 1-pint water bottles can be filled from the water in the cooler?
Answer:
48 pints
Step-by-step explanation:
1 gal=8 pints
Hope this helps
Simplify each of the following.
7^2 x 7^3
9514 1404 393
Answer:
7^5 = 16,807
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
Here, we have a=7, b=2, c=3, so ...
(7^2)(7^3) = 7^(2+3) = 7^5 = 16,807
Which equation would you use to solve this problem: Laura bought 4 1/3 bushels of apples for $16. How much did each bushel cost? *
Answer: $3.69
Step-by-step explanation:
Laura bought 4 1/3 bushels of apples.
Firs convert this to an improper fraction for easier calculation:
= 13/3 bushels of apples.
If cost $16 altogether, individually they must cost:
= Cost / Quantity purchased
= 16 ÷ 13/3
= 16 * 3/13
= $3.69
Note: You can divide by a fraction by multiplying the inverse of that fraction.
While eating lunch, Douglas noticed that 15 students chose to eat chicken and 19 chose to eat pizza. What is the ratio of students in his class who chose to eat chicken to the total number of students?
a. On the map of Arkansas shown, find the actual distance between Clarksville and Little Rock. Use a ruler to measure.
Answer:
1cm/20mi = 4cm/x
1x = 80
x = 80
The answer is 80 miles
how long is a 75% of a 24 hour day
Answer:
18 hours
Step-by-step explanation:
because 6 x 3 = 18!