Classify the system and identify the number of solutions.
4x + 3y + 6z = 25
x + 5y + 7z = 13
2x + 9y + z = 1
Answer:
consistent, independent; one
Step-by-step explanation:
The solution is (4, −1, 2). Because the system has one solution, it is consistent and independent.
The system of equation is consistent and have unique solution.
What is Matrix?Rows and columns of numbers are arranged in a matrix.
A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
Given:
4x + 3y + 6z = 25
x + 5y + 7z = 13
2x + 9y + z = 1
Writing the into matrix form
A= [tex]\left[\begin{array}{ccc}4&3&6\\1&5&7\\2&9&1\end{array}\right][/tex] and B= [tex]\left[\begin{array}{ccc}25\\13\\1\end{array}\right][/tex]
Now, find the determinant we get
[tex]D_x[/tex] = -796, [tex]D_y[/tex]= 199, [tex]D_z[/tex] = -398
and Determinant of matrix A= -199
So, x= -796/-199= 4
y= 199/-199 =-1
z= -398/-199 = 2
hence, the system of equation is consistent and have unique solution.
Learn more about matrix here:
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please help me im so confused i cant fail
Step-by-step explanation:
since the volume formula is given in the picture,
volume of the cylinder = π x 3.75^2 x 6.21 = 274.349....in^3 (this is the exact answer)
HOWEVER,
since question says round off to nearest whole number,
Volume = 3 x 4^2 x 6 = 288in^3
therefore, answer = option C.
Hope that helps.
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Consider the diagram.
Lines AC and RS are
coplanar.
parallel.
perpendicular.
skew.
Answer: Skew
Step by step: Because it is
Hey guys, I am about to start studying for a math test happening in two weeks about statistics and I am wondering if you guys have any tips you can give me to ace this test. I have been failing in math lately because I think that I know how to solve a certain problem when revising but when it comes to the test I forget the process. Some tips, please?
(2x+1)(x+3)
what is the answer
Answer:
2x^2 +7x+3
Step-by-step explanation:
(2x+1)(x+3)
We can solve equations like this using the FOIL (First Outside Inside Last) method.
(2x)(x)+(2x)(3)+(1)(x)+(1)(3) -> 2x^2+6x+x+3
Now we can simplify using like terms
2x^2+7x+3
Answer the 3 questions plzzz ASAP
Answer:
x = 20, #8 is 59, #9 is 41
Step-by-step explanation:
A rectangle's length to width ratio is 9:4. If its length is 14 cm more than its width, what is its area?
Rewrite using a negative exponent. 5/x²
See attachment for math work and answer.
Find the measure of anlge A.
7x + 3
7x + 3
A
PLEASE HELP!!!!!!!
Answer:
3 + 7x = 7x + 3
Step-by-step explanation:
Simplifying
7x + 3 = 7x + 3
Answer:
Angle A = 45 degrees
Step-by-step explanation:
7x+3 + 7x+3 +90 = 180
14x + 96 = 180
14x = 84
x = 6
Angle A = 7x+3. --> 7(6) + 3 --> 45
Angle A = 45 degrees
which line on the graph below has a slope of zero??
5
R
-3-3
2 3 4
5
&
OS
Answer:
Q
Step-by-step explanation:
Please help! I need a good grade
MARKING 5 STARS AND BRAINLIEST
x/1.8= 2.4/3.6
Answer:
1.2
I checked in the RSM system thing
Please hurry please I will mark smartest
Answer:
B = 75
A = 60
b 15+ faster than a
(x^3y^n/z^m+1)^k
HELP
Answer:
ayo i need sum points
Step-by-step explanation:
ykikykikykyiky
Carlos is trying to read 12 pages of his book a night. The book has 144 pages. How many
days will it take him to finish the book?
NEED THE ANSWER ASAP
Answer:
12×12 =144
Answer is 12 days
3+3x - (х-2) I amconfused
Answer:
Exact Form:
x
=
−
1
±
√
2
Decimal Form:
x
=
0.41421356
…
,
−
2.41421356
…
i dont know if this helps
Step-by-step explanation:
Jayme was almost finished running the Los Angele Marathon. So far, she has ran 25 miles in 6 hours. At the same rate, how long would it take her to do a 100 miles Triathlon?
Answer:
24hrs
Step-by-step explanation:
100 devide by 25 x 6
a man pay rs. 14404 Income Tax at the rate of Rs 2 per Rs 100 find his income?
PLS HELP EXTRA POINTS GIVEN OUT
True or false;
"All linear functions have
exactly one x-intercept."
Explain your thinking
Answer: True
Step-by-step explanation:
If a function is linear, it only goes in one direction, which means it can only intercept the x-axis one time.
Can someone help me out? :(
Answer:
the length of AB is 5
Step-by-step explanation:
help me
the question about algebra
➡️do not inconsequential and must with and must be accompanied by steps for the process
thanks
9514 1404 393
Answer:
(x, y, z) = (8√7/105, 2√7/21, 4√7/35)
Step-by-step explanation:
The algebra is straightforward, if tedious.
We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...
√X = √(Y +a) +√(Z +a) . . . . [eq1]
√Y = √(Z +b) +√(X +b) . . . . [eq2]
√Z = √(X +c) +√(Y +c) . . . . [eq3]
__
As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.
The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.
X = Y +a + 2√((Y+a)(Z+a)) +Z +a
X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical
(X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again
X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2
Subtracting the right side gives ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]
Then the remaining equations are ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]
Subtracting [eq6] from [eq5] gives a relation between Y and Z:
-4bY +4cZ = 0
Z = bY/c . . . . [eq7]
Substituting this into [eq4], we have ...
X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0
X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]
Subtracting [eq5] from [eq4] gives a relation between X and Y:
-4aX +4bY = 0
Y = aX/b . . . . [eq9]
Substituting this into [eq8], we have ...
X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0
Dividing by X* gives a linear equation in X:
X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0
X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))
Substituting the above values for a, b, c, we have ...
X = 64/1575
x = √X = √(64/1575) = 8/(15√7)
Y = X(25/16)
y = x(5/4) = 2/(3√7)
Z = Y(36/25)
z = y(6/5) = 4/(5√7)
The solution is ...
x = 8√7/105 ≈ 0.201581y = 2√7/21 ≈ 0.251976z = 4√7/35 ≈ 0.302372_____
* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.
The quotient of 2.6 and –2.6 is
.
Answer:
1
Step-by-step explanation:
Answer:
the actual answer to this question you have asked would actually be -1 due to the rule when it comes to dividing a positive and a negative so first we would 2.6 divided by 2.6 we know that it is a negative so we would make it -1
Step-by-step explanation: so. out of he answer choices choose A. -1
mark brainliest
Which is different? Find "both" answers.
Find AC+CB.
Find BC−AC.
Find AB.
Find CA+BC.
Question 2
The "different" answer is
. The "same" answer is
.
Answer:
Step-by-step explanation:
Question 1
BC - AC and AB will provide different answers when compared to AC + CB and CA + BC. This is because AC means A multiplied by C (AC) or C multiplied by A (CA); thus means AC and CA are the same. Also, CB means C multiplied by B (CB) or B multiplied by C (BC); thus means CB and BC are the same.
Hence, Finding AC + CB will provide the same answer as finding CA + BC
However, finding BC - AC will provide different answer to finding AB because BC - AC means the multiplication of A and C is subtracted from the multiplication of B and C - the answer thereof will most likely be different from the multiplication of just A and B.
Question 2
From the explanation above,
The "different" answer is
Find BC - AC and Find AB
The "same" answer is
Find AC + CB and Find CA + BC
f y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
Answer:
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Step-by-step explanation:
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Find the length of the Segment
Answer:10
Step-by-step explanation:
Please help! Thank you
Answer:Equilateral
Step-by-step explanation:
What are the coordinates of point A?
Answer:
(-3,-6)
Step-by-step explanation:
Thanks a lot
Thanks agin
Answer:
-3,-6
Step-by-step explanation:
the numbers orders are the order the alphabet is in so x then y so the x line is -3 and they y line is -6
HELPPP
Order from least to greatest: 6.24, 6.08, 6.009, 0.6
A) 6.24, 6.08, 6.009, 0.6
B) 0.6, 6.24, 6.009, 6.08
C) 6.009, 6.08, 0.6, 6.24
D) 0.6, 6.009, 6.08, 6.24
Answer:
D
Step-by-step explanation:
Which answer choice shows 2.115 rounded to the nearest tenth?
A. 2.12
B. 2.15
C. 2.2
D. 2.1
Answer:
A
Step-by-step explanation:
cause 5 or > 5 it will add on for the tenth ,in the tenth place their is one so we add one and it will be 2..
34 divided by 35.42 plss help
Answer:
1700/1771
Step-by-step explanation:
Answer:
.96
Step-by-step explanation:
if u divide 34/35.42, you get the exact answer of .9599096556 . If u round your decimal u will end up with .96 . Hope this helped!