Answer:
-11b + 7 = 40
Subtract 7 on both sides
-11b = 33
Divide by -11
b = -3
but if b=0 b is already solved unless you meant b=x
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:
https://brainly.com/question/28180105
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5/-8 divided by 1 3/7
Answer:
3
Step-by-step explanation:
You would do 3/5 =6 then do 13/7 = 18/6=3
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.
Please help me please thank you so much in advance
Answer:
51 degrees
Step-by-step explanation:
Find the equation of the linear function x 1 2 3 4 y 6 9 12 15
Answer:
The equation of the linear function is y = 3x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (1, 6) and (2, 9)
∴ x1 = 1 ad y1 = 6
∴ x2 = 2 and y2 = 9
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{9-6}{2-1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
∴ m = 3
→ Substitute the value of m in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of any
point on the line
∵ x = 1 and y = 6
∴ 6 = 3 (1) + b
∴ 6 = 3 + b
→ Subtract 3 from both sides
∵ 6 - 3 = 3 - 3 + b
∴ 3 = b
→ Substitute the value of b in the equation above
∴ y = 3x + 3
∴ The equation of the linear function is y = 3x + 3
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?
Write the point slope form of the equation of the line through the given slope through (5,3) ,slope =-1/5
Answer:
y-3= -1/5(x-5)
Step-by-step explanation:
point slope form is --> y-y,=m(x-x,)
commas represent 1's.
so
-1/5= m
3=y,
5=x,
Answer:
[tex]y-3= -\frac{1}{5}(x-5)[/tex]
Step-by-step explanation:
Fill in what you know: ([tex]y=-\frac{1}{5}x+b[/tex])Solve for b with test point (5, 3): ([tex]3=-\frac{1}{5}*5+b[/tex])[tex]b=4[/tex]Convert to point-slope form: [tex]y-3= -\frac{1}{5}(x-5)[/tex]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
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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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
Between what two consecutive number does - 12 square root lie ?
Answer:
3 and 4
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,5) and (-7, -7).
Answer:
The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineThe rule of the mid-point is M = ([tex]\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex])The product of the slopes of the perpendicular lines is -1, that means if the slope of one is m, then the slope of the other is [tex]\frac{-1}{m}[/tex] (we reciprocal m and change its sign).∵ A line passes through points (-1, 5) and (-7, -7)
∴ x1 = -1 ad y1 = 5
∴ x2 = -7 and y2 = -7
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{-7-5}{-7--1}[/tex] = [tex]\frac{-12}{-7+1}[/tex] = [tex]\frac{-12}{-6}[/tex] = 2
∴ m = 2
→ Reciprocal the value of m and change its sign to find the slope of
the line perpendicular line
∴ m⊥ = [tex]\frac{-1}{2}[/tex]
→ Substitute in the form of the equation above
∵ y = [tex]\frac{-1}{2}[/tex] x + b
∵ The ⊥ line is also the bisector of the given line, find the mid-point
of the given line because it is also lying on the ⊥ line
∵ M = ([tex]\frac{-1+-7}{2},\frac{5+-7}{2}[/tex]) = ([tex]\frac{-8}{2},\frac{-2}{2}[/tex]) = (-4, -1)
∴ M = (-4, -1)
→ Substitute the coordinates of M in the equation of the ⊥ line above
∵ x = -4 and y = -1
∴ -1 = [tex]\frac{-1}{2}[/tex] (-4) + b
∴ -1 = 2 + b
→ Subtract 2 from both sides
∴ -3 = b
→ Substitute the value of b in the equation
∴ y = [tex]\frac{-1}{2}[/tex] x + -3
∴ y = [tex]\frac{-1}{2}[/tex] x - 3
∴ The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
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
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.
Consider the diagram.
Lines AC and RS are
coplanar.
parallel.
perpendicular.
skew.
Answer: Skew
Step by step: Because it is
(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
Please help:((((
I attached the image of the question
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!
PLEASE help i need help
Answer: B = D
because we have:
[tex]x^{1/3}.x^{1/3}.x^{1/3}=x^{1/3+1/3+1/3}=x^{3/3}=x^{1}=x[/tex]
[tex]\frac{1}{x^{-1} }=\frac{1}{\frac{1}{x} }=x[/tex]
Step-by-step explanation:
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:
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..
sara y su hermana alejandra, tienen que ir al mercado a comprar. saben que una sandía les cuesta q 10.00, un banano q 2.00, una manzana q 1.00, una docena de aguacates q 36.00. si su mamá les pide que compren: una sandía, una docena de bananos y 2 aguacates, ¿cuánto gastarán?
Answer:
40.00
Step-by-step explanation:
una sandia 10.00
un banano 2.00
un aguacate 3.00 (porque una docena equivale 12 artículos; 36/12 es 3)
una sandía 10.00
una docena de bananos 12(2.00) = 24.00
dos aguacates 2(3.00) = 6.00
10.00 +24.00 +6.00
=40.00
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
Rewrite using a negative exponent. 5/x²
See attachment for math work and answer.
Please help! Thank you
Answer:Equilateral
Step-by-step explanation:
a man pay rs. 14404 Income Tax at the rate of Rs 2 per Rs 100 find his income?
(x^3y^n/z^m+1)^k
HELP
Answer:
ayo i need sum points
Step-by-step explanation:
ykikykikykyiky
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
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:
Simplify:
4a - (-3b) + (-2c)
Answer:
4a-2c+36
Step-by-step explanation:
that is it