Answer:
B is the correct answer. I just took the test :))
Step-by-step explanation:
Option B is correct, Divide R₂ by 2 and R₃ by 3 is the next step in solving this augmented matrix using the Gauss-Jordan elimination method.
In the Gauss-Jordan elimination method, the goal is to transform the augmented matrix into row-echelon form and then into reduced row-echelon form to solve the system of linear equations.
To achieve this, we perform row operations on the matrix.
In the given augmented matrix:
[tex]\left[\begin{array}{ccc}1&0&0\\0&2&0\\0&0&3\end{array}\right] .\left[\begin{array}{c}5&8&9\end{array}\right][/tex]
We can divide R₂ (Row 2) by 2 and R₃ (Row 3) by 3 to simplify the matrix further we do this to make the leading coefficient (the number at the leftmost position in each row) of each row equal to 1, which is a requirement for row-echelon form.
After dividing R₂ by 2 and R₃ by 3, the augmented matrix becomes:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .\left[\begin{array}{c}5&4&3\end{array}\right][/tex]
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Dan Dayle started a business by issuing an $85,000 face-value note to First State Bank on January 1, Year 1. The note had an 7 percent annual rate of interest and a five-year term. Payments of $20,731 are to be made each December 31 for five years. What is the principal balance on January 1, Year 2?
Calculaţi c.m.m.d.c. și c.m.m.m.c. al numerelor: 18; 120; 30; 450.
anser is
Step-by-step explanation:
618 is the answer
What does 6523 ÷ 65 equal?
Answer:
~100.35385
Step-by-step explanation:
You just gotta take the time to do the long division. Alternate forms could be 100 23/65
Pls answer my questions on this pic here
(must include the math work)
i will give brainlist for the most helpful answer
Answer:
252, 1 1/4, 308, 1 1/2
Step-by-step explanation:
5. The kitchen is 2 1/4 in by 1 3/4 in. 2 1/4in = 9/4in = 18ft. 1 3/4in = 7/4in = 14ft.
So we have 18ft by 14ft. The area is one side multiplied by the other side:
18 × 14 = 252ft^2.
6. 10/2 = 5. 5/4 in = 1 1/4in.
7. Bedroom 2 is 1 3/4in by 2 3/4in. 1 3/4in = 7/4in = 14ft. 2 3/4in = 11/4in = 22ft.
14ft × 22ft = 308ft^2 of carpet.
8. 12ft/2 = 6. 6/4 = 1 2/4 = 1 1/2 in.
Hope that helps!
__________
[tex] \: [/tex]
Answer in the picture.
Given 3 + 7 + 11 + 15 + ... find S20
what is 0.08 as a percent.
Answer:
8%
Step-by-step explanation:
u have to multiply the number with 100
0.08 * 100
8%
The price of a watch was $115 when it was launched last year. When a new version of the watch was released this year, the price of the earlier version of the watch decreased by 15%. Find the price of the earlier version of the watch this year.
Answer:
$97.75
Step-by-step explanation:
115 times 0.85
pls solve this thanks
What is 21 divided by 654
Answer:
Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one
so 21 goes into 65 3 times maximum
so 21*3 is 63
so we subtract 63 and put a 3 on top
so eventually you’d get 31.142857 (never ending decimal)
So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you
so 31 1/7 is the final answer
guys help me with this question
Blank 1: 7
Blank 2: 3
Blank 3: 2
Blank 4: 2
aolve the equation. 3/4x+3-2x = -1/4+1/2x+5
I need help because all the answer choices my teacher put were wrong so I dont know what to do
Answer:
Equivalent Expression: [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:
We could use the Quotient Rule of Exponents where it states that:
[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]
Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.
[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]
[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]
Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:
[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]
Applying the Negative Exponent Rule will result in the following exponential expression:
[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]
Therefore, the equivalent expression is: [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].
write and equation on the line that passed through (0,-1) and is perpendicular to the line y =1/9x+2
Answer:
y=-9x-1
Step-by-step explanation:
since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1
Answer:
y=-9x-1
Step-by-step explanation:
Any hot topic online promo codes???
find the inverse of -3y+5x=18
Answer:
-3x +5y = 18
Step-by-step explanation:
The inverse relation is found by swapping x and y.
there are a total of 45 bikes. if the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue?
Answer:
20
Step-by-step explanation:
4 + 5 = 9
45 / 9 = 5
4 * 5 = 20
hope this helps
Determine if the ordered pairs represent a function.
{(1,5), (2,7), (3,9), (4,7)}
(yes or no)
Answer: No
Step-by-step explanation:
There's no noticeable pattern.
Need Done ASAP Please Help will give brainliest
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
A. g(x) is shifted 3 units to the right and 1 unit up.
B. g(x) is shifted 3 units to the right and 1 unit down.
C. g(x) is shifted 3 units to the right and reflected over the x-axis.
D. g(x) is shifted 3 units to the left and reflected over the x-axis.
The difference between the functions f(x) and g(x) is the addition of a
constant to the value of x and changing
the sign of the output.
The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and
reflected over the x-axis.
Reason:
The addition of a positive constant term to the input variable of a function,
shifts the graph to the left of the graph of
the parent function.
Please find attached the image of the graph of f(x), which is g(x) shifted to
the left by 3 units.
Step-by-step explanation:
Changing the sign of the output value from positive to negative;
When the output value of a function is changed from positive to negative,
and vice versa, it is equivalent to a reflection across the x-axis.
Therefore, the function g(x) is a reflection across the x-axis.
Therefore;
g(x) is shifted 3 units to the left and
reflected over the x-axis.
According to Allyson's half marathon training
schedule, she needs to run at least 23 miles this
week. So far, she ran 19 miles this week. Write an
inequality to describe the situation
Answer: 19 + r = 23
Step-by-step explanation:
r = 4
19 + 4 = 23
Mrs. Cho has 24 students in her class. Some of her students are also in the play.
Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
914 1404 393
Answer:
24% of 24 is not a whole number
Step-by-step explanation:
24% of Mrs. Cho's students is ...
0.24 × 24 = 5.76 . . . students
This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.
write the decimalas a percent 4.68
Answer:
468% is the percent of 4.68
Step-by-step explanation:
4.68 x 100 = 468
help please. thank you very much
Answer: Offer B because it will cost less.
Step-by-step explanation: Hope this helps :)
What are the measures of Angles a, b, and c?
Show your work and explain your answers.
Answer:
∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.
∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.
∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.
Step-by-step explanation:
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.
y = -3
x - y = 8
Putting y=-3 in second equation
[tex]\\ \sf\longmapsto x-(-3)=8[/tex]
[tex]\\ \sf\longmapsto x+3=8[/tex]
[tex]\\ \sf\longmapsto x=8-3[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
(x,y)=(5,-3)simplify i^29 GIVE ME ANSER
Answer:
Simplify the expression using the definition of an imaginary number
i=√-i
iStep-by-step explanation:
factor completely. show full work
Answer:
here's the answer mark me brainliest!!
Answer:
Step-by-step explanation:
2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)
= (p + 4q)(2p - q)
A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find tanA, sinA, and cosA.
9514 1404 393
Answer:
tan(A) = 7/24sin(A) = 7/25cos(A) = 24/25Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the trig ratios:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...
tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25
This morning, the owner of Sam's Spaghetti House withdrew $180 from the restaurant's bank account to pay for an oven repair. This afternoon, he deposited $430 from lunch sales.
What is the total change in the restaurant's bank account relative to where it started?
Answer:
he had $250.00 more at the end of lunch
Step-by-step explanation:
2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Answer:
$308
Step-by-step explanation:
I am not sure if this is correct. But try it and let me know if it was
Which ratio is equivalent to 5:9? with a twist ( only those options)
Divide the option with 4 so that you can get the equivalent ratio to 5:9 .