dwayne used row operstions on an augmented matrix representing a system of equations and obtained the following result. how many solutions does dwayne's system of equations have?
Answers
Considering the given matrix, it is found that the number of solutions of the system of equations is given by:
B. 1.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The matrix form of the system can also be written as:
[tex]\left[\begin{array}{cc}1&0\\0&1\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}5\\6\end{array}\right][/tex]
Applying the multiplication of the matrices, we have that:
x + 0y = 5 -> x = 5.0x + y = 6 -> y = 6.Hence the system has one solution, given by (5,6), and option B is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Related Questions
Simplify: 2x + 4y - x + y
Answers
Answer:
x+5y
Step-by-step explanation:
Answer:
1x+5y or x+5y is it simplfyed
Mr. Harris is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Harris receive if he gives the cashier $20.00?
Answers
Answer:
$13.70
Step-by-step explanation:
$2.80*2.25=$6.30
$20-$6.30=$13.70
Five friends shared 2/3 bags of popcorn. how much popcorn did each friend eat?
Answers
Answer:
Each friend will get 2/15ths of the popcorn.
Need help with question 5!!!!! ASAP PLEASE!!!
Answers
Answer:
B. 2-5 the answer is B. 2-5
Answer:
I think b
Step-by-step explanation:
is this a linear or non linear function?
Answers
Answer:
Linear I believe.
Step-by-step explanation:
can you solve this for me please
Answers
Answer:
the first one
Step-by-step explanation:
ive done this before
Answer:
Step-by-step explanation:
i got no idea
The points (12,14) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answers
Answer: 5/2
Step-by-step explanation:
49 - 42/ 14 - 12
how many centuries are the same as 700 years?
Answers
Answer:
7
Step-by-step explanation:
700/100
I love you the way you are c:
Answers
Answer: Be careful on you love
Step-by-step explanation: I got heartbroken
For the equation y=3x+2 if we were to add 7 What effect would it help on the equation.
Answers
what is 12432 inches in yards
Answers
Answer:
345.333333Step-by-step explanation:
A chain of car dealership got a shipment of 9,240 new cars. There are the same number of cars in every color. How many colors could there be?
Answers
Answer:
9,420 colors making exactly 1 car of each color exist
Step-by-step explanation:
Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.
The number of different possible colors of vehicle can be found using the relation
[tex] \frac{9240}{c} [/tex]
The number of cars shipped = 9240The number of cars belonging to each different color is the sameThe number of different colors possible :
Total number of shipment ÷ Number of cars belonging to each color If the Number of cars belonging to each color = cThe number of different possible colors can be obtained using the expression :
[tex] \frac{9240}{c} [/tex]
Learn more :https://brainly.com/question/18109354
I'm giving ⚡️ 100 POINTS ⚡️ for a hella easy question, its provided in the picture i mark BRAINLIEST
Answers
Answer:
7620 is the answer.Step-by-step explanation:
7.62 × 10^3= 7.62 × 1000= 7620
If you like this answer then mark this answer as BRAINLIEST answer.....
Thank you ☺️☺️
The lines represented by the equations 25y
10x = 200 and 5y + 2x = 40 are
neither parallel nor perpendicular
perpendicular
the same line
parallel
Answers
Answer:
C: The Same Line
Step-by-step explanation:
So to start we need to first know what makes lines parallel or perpendicular. Two parallel lines will have the same slope, but different y-intercepts because we know they never cross. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.
Then, we need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We can see that neither equation is in this form, so we have to convert it.
Starting with the first, (I assume despite the typo) we have [tex]25y+10x= 200[/tex]
So we need to isolate the [tex]y[/tex] from everything else.
First, we'll subtract [tex]10x[/tex] from both sides of the equal sign to get [tex]25y=-10x+200[/tex]
Second, we'll divide both sides by [tex]25[/tex] to get [tex]y=-\frac{2}{5} x+8[/tex]
This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the first line.
Now onto the second we have [tex]5y+2x=40[/tex] so we're going to follow the same steps to isolate [tex]y[/tex].
First, we'll subtract [tex]2x[/tex] from both sides to get [tex]5y=-2x+40[/tex]
Second, we'll divide both sides by [tex]5[/tex] to get [tex]y=-\frac{2}{5}x +8[/tex]
This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the second line.
Since both of the lines have a slope [tex]-\frac{2}{5}[/tex] we know that they are parallel, so we need to check to check if they're the same by looking at the y-intercept. We can see that [tex]8[/tex] is the y-intercept of both lines, so they would be the same line.
“I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answers
Answer:
33x2=66
66-3=62
62x4=248
Is this a question for a test cause if it is i'm gonna feel embarrassed
Alice made the conjecture 5x = 30 and x = 5. Which of the following is true to her conjecture?
O True, x = 5
O True, x = -6
O False x = -5
O False, x = 6
Answers
Answer:
False, x=6
Step-by-step explanation:
5x=30
Divide 5 on both sides
5/5 leaves x
30/5=6
Bring down x
x=6
Which of the following graphs represent a function
Answers
Answer: A
Step-by-step explanation:
Verticals line test
Answer:
A
Step-by-step explanation:
on edge 2021
WILL MARK BRAINLIEST Given a the line y=2.5x+4, find line whose graph: b intersects with the graph of the given line.
Answers
Select all the expressions that equal -2 + 5.
Answers
Answer:
The answers are A, C and D
PLEASE NEED IT ASAP You'll get brainliest Find the distance between the two points in simplest radical form. (0,-1) and (3,-5)
Answers
Answer:
5
Step-by-step explanation:
first you have to subtract x for example 0-5 square and use it on y and then square root both of them you will got the answer
simplify 1/2 +1/4 - 1/6
Answers
Answer:
look for the LCM of all the denominators, devide the denominators by the LCM and add the numerators( don't forget the signs ), then add and subtract your answers ( by this time the LCM becomes the denominator and the answer from th subtraction and addition of the numerators becomes the present numerator ), then reduce to lowest term the answer gotten
The sum of the cube of a number and two times the number
Answers
Answer:
x^3+x×2
I got this : ) I hope it helped
The expression x³ + 2x represents the sum of the cube of a number and two times the number "x."
"the sum of the cube of a number and two times the number."
Let "x" represent the unknown number.
Express the given in algebra form as x³ + 2x.
To calculate the value of this expression for a specific value of "x," substitute the value of "x" into the expression.
Cube the number by raising it to the power of 3 (x³).
Multiply the number by 2 (2x).
Add the results
expression x³ + 2x represents the sum.
learn more about algebra here
brainly.com/question/29131718
#SPJ2
The fourth graders and fifth graders at Valley Point Elementary are going on a field trip. There are 148 fourth graders and 96 fifth graders. There are also 18 teachers going. If 54 people can fit on one bus, how many buses are needed for all of the students and teachers?
Answers
Answer:
5
Step-by-step explanation:
what is 3 1/7 x 1 2/7
Answers
Answer:(Key: Underlined word means repeating decimal)
28.28
Step-by-step explanation:
but in fraction form it is
solved:
3 *7 + 1 x 7 * 1 + 2
22/7 * 9/7
198/7
y=-6x^2+100x-180
what are the zeros in this function? what do the zeros mean in context
Answers
Answer:
If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
I need help with number 8
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The square roots are approximately ...
√5 ≈ 2.23
√17 ≈ 4.12
√56 ≈ 7.48
√88 ≈ 9.38
√118 ≈ 10.86
These are plotted below.
Is 3b-8=13;-7 a solution?
Answers
Answer:
See below
Step-by-step explanation:
[tex]3b-8=13 \implies 3b=21 \implies \boxed{b=7}[/tex]
[tex]-7 \text{ is not a solution for the equation}[/tex]
I’ll Give BRAINLIEST Just Help Now
Answers
Answer:
I cant see the thing just dont the answers down pls i can help just cant see the pic
Step-by-step explanation:
Answer: x= 60 degrees, y=25 degrees
ABC is equilateral so all angles are 60.
Therfore, we know that angle bcd must be 120 degrees.
Triangles are 180
120+35= 155
180-155= 25
hope this helps!!
Wha is the answer to 8x-15 = 8x-15
Answers
hope it helped
Both cancel each other out
Evaluate 2p - 3r + t for p = 10,
r = -4 and t = 5.
13
37
8
Answers
Answer:
37Step-by-step explanation:
[tex]2p - 3r + t[/tex]
p = 10
r = -4
t = 5
Substitute values into the given equation
[tex]2(10) - 3( - 4) + 5[/tex]
Simplify
[tex]20 + 12 + 5 \\ \\ = 37[/tex]
