The result of RREF produced the following matrix. What is the solution of the
system? Choose the best answer.
1 0 3 0
0 1 0 5
0 0 0 1
The following RREF matrix has infinite many solutions.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the matrix, we can get the following equations:
x + 3z = 0 (1)
y = 5 (2)
And:
0(x) + (0)y + 0(z) = 1
0 ≠ 1 (3)
From equation 3, we can see that the following RREF matrix has infinite many solutions
Find out more on equation at: https://brainly.com/question/2972832
What is the sign of y.
0
Choose 1 answer:
Positive
Negative
Zero
Answer:
Negative.
Any negative number times a positive is always negative.
What is 3x + 4 (−x − 5) when x = 5?
A −25
B −10
C 15
D 55
Answer:
A. -25
Step-by-step explanation:
3x + 4 (-x - 5)
3x + 4 (-10)
15+4(-10)
15 + (-40)= -25
What is a independent
Answer:
Yo
Free from outside control; not subject to another's authority.
Hope it helps you....
Factor completely 64x^2-1
Answer:
(8x-1)(8x+1)
Step-by-step explanation:
64x^2-1
(take the square roots of both sides)
(8x-1)(8x+1)
A paddle boat can move at a speed of 12 km/h in still water. The boat is paddled 8 km downstream in a river in the same time it takes to go 4 km upstream. What is the speed of the river?
Solve for x =2.4x + 3.4=15.4
Answer :
5Explanation :
[tex]\longrightarrow \qquad \sf{2.4x + 3.4=15.4}[/tex]
Subracting 3.4 from both sides we get :
[tex]{\longrightarrow \qquad \sf{2.4x + 3.4 - 3.4=15.4 - 3.4}}[/tex]
[tex]\longrightarrow \qquad \sf{2.4x =12}[/tex]
Dividing 2.4 from both sides we get :
[tex]\longrightarrow \qquad \sf{ \dfrac{2.4x}{2.4} = \dfrac{12}{2.4} }[/tex]
[tex]\longrightarrow \qquad \sf{ \dfrac{ \cancel{2.4} \: x}{ \cancel{2.4}} = 5 }[/tex]
[tex]\longrightarrow \qquad \bf{x = 5 } [/tex]
Therefore,
The value of x is 5.Answer:
x = 5
Step-by-step explanation:
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]2.4x\cdot \:10+3.4\cdot \:10=15.4\cdot \:10[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]24x+34=154[/tex]
[tex]\mathrm{Subtract\:}34\mathrm{\:from\:both\:sides}[/tex]
[tex]24x+34-34=154-34[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]24x=120[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}24[/tex]
[tex]\frac{24x}{24}=\frac{120}{24}[/tex]
x = 5
~Learn with Lenvy~
Sophie drove to the amusement park at a rate of 36 mph and arrived in 2.5 hours. How long will it take her to get home if Sophie drives 45 mph?
Answer:
Time= 2 Hours
Step-by-step explanation:
Using the formula attached we can first work out the distance from home to the amusement park. and then calculate the time it will take to get amusement park to home.
a) Distance= Speed x Time
= 90km
b) Time= Distance/speed
= 2 hours
Answer: 2 hrs
Step-by-step explanation: 36x2=72
1/2 of 36 is 18
72+18=90.
90mph/45 miles to cover = 2 hours.
Given: △ABC, D ∈ ray BC
C ∈ BD, AB=AC=BC
Prove: BD>DA>AB
Answer:
BD>DA>AB
Step-by-step explanation:
Since ACB = 60, ACD = 120. Since ACD>ACB then DA is greater than AB. Then we can see that AC + DC has to be greater than DA because of triangle property theorem. That's the same as BC + CD by transitivity and BC + CD is BD by PWP. That means that BD > DA. Since we know that BD > DA, we can say, BD > DA > AB.
III
Test: Test 3
Determine whether the ordered pair (1,5) is a solution of the system.
3x - 5y = -22
2x + 4y = 18
Is (1,5) a solution of the given system?
No
Yes
Answer:
No
Step-by-step explanation:
The second equation is false
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
QUICKLY PLEASE
Answer:
x = 4
Step-by-step explanation:
y = - 2 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line is therefore a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 2 ) with x- coordinate 4 , thus
x = 4 ← equation of perpendicular line
Please please help me!!!!!
Answer:
x=80
Step-by-step explanation:
This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.
The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.
[tex] \cos(50) = \frac{51}{x} [/tex]
The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.
By cross multiplication i can rewrite this as:
[tex]x = \frac{51}{ \cos(50) } [/tex]
[tex]x = \frac{51}{0.64278} [/tex]
[tex]x = 79.34[/tex]
Round to the nearest ten
[tex]x = 80[/tex]
6
8
10
2
2
-
C D
3
a.
n = 30
x = 3
b.
3
W = -
4
C.
d.
12 = 1 -
3
ما | نا
Please select the best answer from the choices provided
Ο Α
ОВ
Step-by-step explanation:
please write clearly and row wise understand problem
In art class, Ernest is attaching strings to puppets to make marionettes. For each puppet, he
ties 6 inches of string to the head and 9 inches of string to each of the 2 arms. If he has a
total of 5 puppets, how many feet of string does he use in all?
feet
Answer:
he will use 10 each for the feet
Question 10 of 10
Which method for calculating a credit card balance takes into account both
the purchases and the payments made during the current billing cycle?
A. Subsequent Balance Method
B. Previous Balance Method
C. Average Daily Balance Method
D. Adjusted Balance Method
Answer:
The Adjusted Balance Method
Step-by-step explanation:
The Adjusted Balance method calculates finance charges on monies owed at the end of the billing cycle after all transactions, including debits and credits have been posted to the account which include both the purchase and the payment made during the billing cycle.
It usually results in lower finance costs for the consumer because interest is calculated on the final amount instead of day to day.
-6(y+15) = -3 + 6
What value of y makes the equation true?
Answer:
Step-by-step explanation:
y+15 = (-3)/(-6) + 6/(-6)
y+15 = 1/2 -1
y+15 = -1/2
y = -15.5
ILL GIVE YOU ALL MY POINTS FOR THIS EASY QUESTION!!!!!!
Solve the formula for the red variable.
The Surface Area of Cylinder:
Red Varible: h
[tex]S=2\pi \:r^2+2\pi rh[/tex]
Answer:
h = (S- 2πr²)/(2πr)Step-by-step explanation:
Given
Formula S = 2πr² + 2πrhSolve for h
S = 2πr² + 2πrh2πrh = S - 2πr²h = (S- 2πr²)/(2πr)In an If condition, first an IF is required to test an initial expression. Optionally, we can also add additional ELIF statements to test additional expressions if the initial IF statement fails. Question: What statement can be used at the end of an IF condition to catch if all previous expressions fail
Answer:
The block of code inside the if statement is executed is the condition evaluates to true.
Step-by-step explanation:
REWRITE IN FUNCTION FORM
Solve the formula for the red variable.
2y+ 5x = 6
A fireplace arch is to be constructed in the form of a semi ellipse. The opening is to have the height of 1 foot at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string at the foci of the base in order to sketch the outline of the semi ellipse. What is the total length of the string?
Answer:
6 feet.
Step-by-step explanation:
Remember that the foci of the semi-ellipse are two points in the base of the semi-ellipse from where you can create the full perimeter of the semi-ellipse, basically form there you can sketch it. And the sum of both to the same spot in the perimeter always adds up to the same number.
To calculate it you just need to remember that the major axis is always equal to that rope that you use to draw the semi-ellipse and since the major axis is the same as the base the rope will be 6 feet.
Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?
Answer:
Blue: 25%
Red: 50%
Black: 12.5%
Green: 12.5%
Step-by-step explanation:
Blue: [tex]\frac{6}{24} = 0.25[/tex]
Red: [tex]\frac{12}{24} = 0.5[/tex]
Black: [tex]\frac{3}{24} = 0.125[/tex]
Green: [tex]\frac{3}{24} = 0.125[/tex]
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
If you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5 and if moving left or right affects the x coordinate and moving left is negative so x - 3
"5 units up" would be "5 added to the current y-value".
"3 units to the left" would be "3 subtracted from the current x-value".
So, the translation rule is: (x, y) → (x – 3, y + 5)
~Lenvy~
29 characters here you go
The Correct choice is ~
[tex]y = - 3x - 1[/tex]
Well, I will explain it if you want but I'm in hurry, so please bear with it ! but I assure you that the answer is correct !
Answer:
[tex]\mathsf{y=-3x-1}[/tex]
Step-by-step explanation:
[tex]\mathsf{(x_1,y_1)=(-1,2)}\\\\\mathsf{(x_2,y_2)=(1,-4)}[/tex]
[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-2}{1+1}=-3}[/tex]
[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]
[tex]\mathsf{y-2=-3(x+1)}[/tex]
[tex]\mathsf{y=-3x-1}[/tex]
what is Jenalle's position relative to sea level while on the boat? What should the altimeter read at this position?
Answer:
I think the altimeter read this position as 10.6 ft
hope it help you
Answer:
10.6
Step-by-step explanation:
An altimeter measures the altitude of an object above sea level.
And the picture shows that Jenalle's position is 10.6 ft above water.
So the altimeter would measure 10.6
Hope I helped :)
Please consider Brainliest :)
ASAP.
A sphere has a radius of 15 inches. What is the volume of the sphere, in cubic inches? (Use 3.14 as an approximation of pi.)
Based on the calculations, the volume of this sphere is equal to 14,130 cubic inches.
Given the following data:
Radius of sphere = 15 inches.
[tex]\pi =3.14[/tex]
How to calculate the volume of a sphere.Mathematically, the volume of a sphere is given by this formula:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Where:
V is the volume.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V=\frac{4}{3} \times 3.14 \times 15^3\\\\V=\frac{4}{3} \times 3.14 \times 3375\\\\V=\frac{42390}{3}[/tex]
V = 14,130 cubic inches.
Read more on volume of a sphere here: https://brainly.com/question/20394302
Determine the translation.
Use non-negative numbers.
A translation by
units to the
right/left
and
units up/down
HELP PLEASE!!!***
Answer:
(X+4,Y+2) Or 4 units to the right, 2 units up.
Step-by-step explanation:
Count the units, remember X axis always goes first
A bag contains four colors of marbles. The probability of randomly drawing out a red marble is 21%.
What is the probability of not drawing a red marble?
Enter the answer in the box.
Probability of not drawing a red marble = %
Answer:
hello
What is the probability of not drawing a red marble
= 1 - 0.21 = 0 .79
Step-by-step explanation:
(Please answer both parts) Part A
Mary's house cost $500, 000 in the year 2010.
In 2020 she sold it for $900, 000.
Was the change in price an increase or decrease?
Answer:
Part B
What was the percent of change in the price of the house?
Answer:
Answer:
Part A: It was an increase.
Part B:80%
Step-by-step explanation:
First, state the info of the problem
Cost Price(CP):$500,000
Selling Price(SP):$900,000
Part A Solution
The SP is higher than the CP so there is a price increase
$900,000>$500,000
Part B Solution
Find price change
Price change equals SP-CP
$900,000-$500,000 equal to $400,000
State CP percent so it will later help in finding percent of price change
CP percent:100%(basic percent for the original cost of item,CP percent is basically 100%)
Cross multiply by comparing amount with percent
So if $500,000 equals 100%
∴$400,000 equals ?(can be represented by variable "x")
Cross-multiplying, we get
$500,000x equals 100%×$400,000(dividing both sides by $500,000)
x equals (400/5)% which further equals 80%
∴The percent of change for the house price was 80%
To confirm
If there was a price increase(Profit),the SP equals CP plus P
SP equals 100% plus 80%:180% ∴SP equals 180%
If 100% equals $500,000
∴180% equals x which is $900,000 after cross-multiplying.
Hope all confusion is now cleared.
Teacher Jonna received 8 1/2 reams of paper from the school administration for this school year. She still has 1 5/8 reams of paper left from last year. Yesterday she used 2 3/4 reams of paper to make copies of a science activity for her students.How many reams of paper does she have left?
Answer:
She should have 8 5/8 reams of paper left
Represent 3200 divided by 100 in three different ways and simplify.
The answer of 3200 divided by 100 by three different ways is 32.
What is simplification?
Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given division is, 3200 divided by 100.
Since we know that division can be represented in three different way that is,
a) Factoring
b) Long division
c) Synthetic division
So,
a) Factoring 3200 divided by 100 we get,
(2x2x2x2x2x2x2x5x5)/(2x2x5x5)
= 2x2x2x2x2
= 32
b) Long division 3200 divided by 100
32
100| 3200
- 300
200
- 200
000
So,Quotient is 32
remainder is 0.
c) Synthetic division 3200 divided by 100
Let x = 100
Therefore, 3200 = 32x
now to divide 32x/x syntehtic division is given as,
1 | 32
1
Hence 32x/x by synthetic division we get 32 R 0.
Therefore, the required answer is 32.
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