Answers
Answer:
A. -3
Step-by-step explanation:
edge test
The value of x in the matrix equation comes to be 1.
What is a matrix?A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.
The given matrix equation is:
[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:
[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
On comparing both matrices
-2x+3 = x
3x=3
x=1
Hence, the value of x in the matrix equation comes to be 1.
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Related Questions
The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answers
Answer:
The answer is "[tex]\bold{11000(0.83)^t}[/tex]".
Step-by-step explanation:
[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]
[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]
[tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]
please help!!
find h(8)-f(-7)
Answers
The function g(x) = -|x| is a transformation of the absolute value parent function. What does this graph look like?
Answers
Answer && Step-by-step explanation:
We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right
it will always be negative due to the negative sign being outside the abs val,
and the abs val, making the inside positive.
thus the resulting graph will be inverted from what was previously said
it will now come from the bottom right to the top left (still a diagonal line)
Evaluate each expression for s=4 and t=8
1) (25)^2t
2) 2st^2-5^2
3) 2s^2-t^3/16
Answers
Answer:
1. 2.328×[tex]10^{22}[/tex]
2. 487
3. 30.52 OR 0 (see explanation↓)
Step-by-step explanation:
1.[tex](25)^{2t}[/tex]
(sub for t=8)
=[tex]25^{2*8}[/tex]
=[tex]25^{16}[/tex]
=2.328×[tex]10^{22}[/tex]
2.[tex]2st^{2} -5^{2}[/tex]
(sub for s=4 and t=8)
=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]
=512-25
=487
3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)
FOR [tex]2s^{2} -t^{3/16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]
=32-1.476826146
=30.52 (to the nearest 2 decimal place)
FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]
=32-32
=0
Write an algebraic expression for 27 less than a number.
Answers
Answer:
n-27
Step-by-step explanation:
If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!
Answer:
f - 27
Step-by-step explanation:
we don't know the number that's being subtracted so it would be any integer minus 27
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answers
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.
The equation of a linear relation is y = -4x + 9
The missing number in the order pair is ( -15)
Answers
Answer:
6.
4.
Step-by-step explanation:
We need the value of x when y = -15:
-15 = -4x + 9
-4x = -15 - 9 = -24
x = 6.
-15 = -6x + 9
-6x = -24
x = 4.
Wayne created a dried fruit mix to use on his cereal this week. He
used 7 spoonfuls of raisins for every 3 spoonfuls of dried cherries.
If Wayne used 14 spoonfuls of raisins, how many spoonfuls of dried
cherries did he use?
Answers
Answer:
6
Step-by-step explanation:
i had this same problem :)
Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
d =
p =
Answers
Answer:
Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
✔ 5
d =
✔ 20
p =
✔ 5
Step-by-step explanation:
PLZ give brainliest!!! <3
Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over
Answers
Answer:
You will have .38 feet left of string
Step-by-step explanation:
Just subtract the numbers
Have a good day!
Answer:
0.38
Step-by-step explanation:
4.25-3.87=0.38
five times the sum of a number and four
Answers
here is the Answer:
5(x+4)
Hope it helps
why is y=4 not a literal equation
Answers
I hope this helps!
A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
A Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.
Therefore, y=4 is not a literal equation because it has y as the only variable that appears.
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Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?
Answers
Answer:
x = 52.5
<A = 152.5°
<BCG = 45°
Step-by-step Explanation:
Sum of interior angles of n-sided polygon = (n - 2)180
Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°
Therefore, sum of all the interior angles in the given hexagon = 720.
Thus:
3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720
Solve for x. Add like terms.
8x + 300 = 720
Subtract 300 from both sides
8x = 720 - 300
8x = 420
Divide both sides by 8
8x/8 = 420/8
x = 52.5
<A = (3x - 5)
Plug in the value of x
<A = 3(52.5) - 5 = 152.5°
<BCG = 180 - (2x + 30) (angles on a straight line)
Plug in the value of x
<BCG = 180 - (2(52.5) + 30)
<BCG = 180 - (105 + 30)
<BCG = 180 - 135
<BCG = 45°
Let f(x)=8^x
Which function represents a transformation of f(x) by a vertical stretch with factor 2?
A. g(x) = 8^2x
B. g(x) = 1/2 • 8^x
C. g(x) = 2 • 8^x
D. g(x) = 8^1/2x
Answers
What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
0-3
0 -1
O 2
O4
PLEASE HELP :)
Answers
Solving Steps:
2x-y=11
x+3y=-5
-2x-y=11
-2x-6y=10
-7y=21
y=-3
x+3(-3)=-5
x=4
helpp meeee will award brainliest
Answers
help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *
Answers
Answer:
-2
Step-by-step explanation:
When you fill it in you get 4(2)+3(-3)-1 then multiply and add
Solve for X using Special Rights
Answers
Answer:
c) 10√2
Step-by-step explanation:
Two angles are same, means this is an isosceles triangle.
So,
x=10
Now, by using pythagoras theorem,
y=√(10²+10²)
=10√2
PLZZZZ HELPPPP I WILL MAKE YOU BRAINLIEST ANSWER PLZZZZZ THANKYOUUU!!!!!!!
Answers
2-alt exterior
3-same side interior
4-corresponding
5-alt interior
6-alt exterior
when is the function decreasing?
A. (15, 40)
B. (30, 55)
C. (60, -40)
D. (40, 60)
Answers
Tyler Invests $7900 in two different accounts. The first account paid 9 %, the second account paid 8
% in Interest. At the end of the first year he had earned $674 in interest. How much was in each
account?
$
at 9 %
$
at 8 %
Answers
Answer:
the dollar for 9 interstate is 16 rupees is and interest rate for 88 percentage is is 14 rupees
Larry picked 8 pounds of strawberries. If each jar of jam takes 38 of a pound of strawberries, how many jars of jam can Larry make?
Answers
Answer:
21 Jars
Step-by-step explanation: Divide 8 by 0.38 (38/100ths) and the answer is 21.052631578947368421052631578947 but you just round to 21.
miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?
Answers
Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1
Answers
9514 1404 393
Answer:
y = -1/3x -1
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...
m = -1/3
Only one answer choice has that value as the coefficient of x:
y = -1/3x -1
a number increased by 8 is equal to 48
Answers
Answer:
6
Step-by-step explanation:
if you do 48 divided by 8 it equals 6 so therefore the number that would increase it would be 6 because 6x8 equals 48.
hope this helps
Three students attempt to define what a line segment is.
Answers
Answer:
Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.
Hannah invested $35,000 in a mutual fund that earns 6% interest per year compounded annually. To the nearest dollar, how much was her investment worth after 3 years?
Answers
Answer:
the answer is 41,685.56 but rounded to the nearest dollar is 41,686
Step-by-step explanation:
hope this helps
Lollollollollollollollollollollollollollollollollollollollollollollollollollollollollol pt. 3
Answers
lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol
here's a picture of a seal
i hope you like it
9(9r + 3s - 9)
Evaluate this
Answers
Explanation:
9×9 = 81 r
9×3 = 27 s
9x-9 = -81
Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero. la diferencia de los reciprocos de los numeros es una decima.
Answers
Answer:
Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Step-by-step explanation:
La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.
El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1. Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].
El doble o duplo de un número se calcula multiplicando el número por 2.
La diferencia es el resultado de la resta o sustracción.
Entonces:
La mitad del reciproco de un numero: siendo el número x, entonces esto se expresa como [tex]\frac{1}{x}[/tex]÷2El duplo del reciproco de otro numero: siendo el número y, entonces podes expresar [tex]\frac{1}{y}[/tex]*2Uno más que el reciproco del primer numero: [tex]\frac{1}{x}+1[/tex]Entonces:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)
Siendo la diferencia de los recíprocos de los números igual a una decima, entonces
[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)
Entonces, de la ecuación (B) se obtiene:
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)
Reemplazando en la ecuación (A):
[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]
Resolviendo:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]
[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]
[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]
[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]
[tex]\frac{1}{x} =-\frac{8}{25}[/tex]
[tex]x=-\frac{25}{8}[/tex]
Entonces, reemplazando en ecuación (C)
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]
[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]
[tex]\frac{1}{y}=\frac{21}{50}[/tex]
[tex]y=\frac{50}{21}[/tex]
Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Usando un sistema de ecuaciones, se encuentra que los números son: [tex]-\frac{1}{4}, -2[/tex]
Un número es llamado de x, el otro de y.Los recíprocos son: [tex]\frac{1}{x}, \frac{1}{y}[/tex]Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
La diferencia de los reciprocos de los numeros es una decima, o sea:
[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]
[tex]\frac{y - x}{xy} = 10[/tex]
[tex]y - x = 10xy[/tex]
[tex]y = 10xy + x[/tex]
[tex]y = x(10 + y)[/tex]
[tex]x = \frac{y}{10 + y}[/tex]
Reemplazando en la primera ecuación:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]
[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]
[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]
[tex]14y + y^2 = 4y^2 + 20y[/tex]
[tex]3y^2 + 6y = 0[/tex]
[tex]3y(y + 2) = 0[/tex]
[tex]y + 2 = 0[/tex]
[tex]y = -2[/tex]
[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]
Los números son: [tex]-\frac{1}{4}, -2[/tex]
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