Answers
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
Related Questions
plzzzzzzzzz helllppppp
Answers
Answer:
26 = <F
Step-by-step explanation:
Since the triangle is isosceles, the base angles are the same
<D = <F
26 = <F
The triangle is a isosceles triangle
Angles corresponding to base are equal[tex]\\ \rm\Rrightarrow <D=<F[/tex]
[tex]\\ \rm\Rrightarrow <F=26°[/tex]
how to simplify 75-3y
Answers
[tex]\\ \sf\longmapsto 75-3y[/tex]
We can see 75 is a multiple of 3Take 3 common[tex]\\ \sf\longmapsto 3(25-1y)[/tex]
[tex]\\ \sf\longmapsto 3(25-y)[/tex]
Hence simplifiedAnswer:
Step-by-step explanation:
75-3y
3(25+y)
PLEASE HELP!!!
Write the correct geometric sequence formula for each of the sequences listed below
1st sequence:
1,3,9,27,…
2nd sequence:
400,200,100,50,…
3rd sequence:
4,8,16,32,…
4th sequence:
400,100,25,6.25,…
5th sequence:
1,5,25,125,…
6th sequence:
1000,500,250,125,…
7th sequence:
2,10,50,250,…
What are the geometric formulas???
Here are the options:
A.) y=1600(0.25)^x
B.) y=800(1/2)^x
C.) y=2/5(5)^x
D.) y=1/5(5)^x
E.) y=2000(1/2)^x
F.) y=1/3(3)^x
G.) y=2(2)^x
Please match the formulas with the correct sequence.
It’s a lot I know but I just absolutely suck at this stuff.
Answers
Answer:
1st sequence is F
2nd sequence is B
3rd sequence is G
4th sequence is A
5th sequence is D
6th sequence is E
7th sequence is C
Step-by-step explanation:
A) 1600*0.25= 400- the first term of the sequence
1600*0.25^2= 100- the second term
so it is 4th sequence
B) y=800* (1/2)^x
The first term is 800*1/2=400
The second term is 800*(1/2)^2= 800*1/4=200
the 2nd sequence
C) y= 2/5*5^x
The first term is y=0.4*5=2
The second term is y= 0.4*5^2=10
7th sequence
D) y=1/5* 5^x
The first term is y=1/5*5=1
The second term is y= 1/5 *5*5=5
The 5th sequence
E) y=2000*(1/2)^x
The first term of 2000*1/2=1000
The only sequence with such the first term is 6th sequence
F) y=1/3*3^x
y= 1/3*3=1 - the first term
y= 1/3*3*3=3
1st sequence
G) y= 2*2^x
y=2*2= 4 - the first term
it is the third sequence
what is the answer for 17-51 163
Answers
Answer:
The answer is -51146
Step-by-step explanation:
Just substract simple
Una empresa de comunicaciones internacional ofrece paquete de servicios de internet por demanda y que incluye un cargo fijo mensual. Si el cargo fijo es de $8000 y el costo por MB consumido es de $ 34, entonces el costo por consumo de 512 Mb es de:
Answers
El costo por el consumo de 512 MB, con base en los cargos mencionados, es de $25408.
Cálculo del costo paso a paso.
Según los datos en el ejercicio, se puede identificar que el costo mensual debe contener el cargo fijo mensual ($8000), más los megabytes consumidos por $34, teniendo eso en cuenta, se puede generar la siguiente fórmula:
Costo por consumo = Cargo fijo mensual + MB * $34Donde:
MB = Megabytes consumidas.Si reemplazamos el valor de MB por la cantidad mencionada en el ejercicio (512 Mb), y el cargo fijo mensual ($8000) obtenemos:
Costo por consumo = $8000 + 512 * $34Costo por consumo = $8000 + $17408Costo por consumo = $25408Por lo tanto, el costo por consumo de 512 Mb es de $25408.
Si deseas ver ejercicios similares, revisa el enlace a continuación: https://brainly.com/question/12918169?referrer=searchResults
HELLO HELP ASAP ATTACHING PIC BELOW ITS KHAN
Answers
Answer:
a
Step-by-step explanation:
the graphic is step by step
Answer:
A
Step-by-step explanation:
Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.
Hope this helps! Please mark Brainliest :)
Ayuda por favor help me please
Answers
Answer
English translation needed
answer all of the following please.
Answers
Answer:
Front = 30
Back = 30
Right = 30
Left = 30
Bottom = 25
Top = 16
Total = 161
Let me know if this helps!
ABCD is a rectangle. Its diagonals meet at O. Find the value of x if
OA = 2x + 4 and OD = 3x + 1.
step by step explanation
Answers
Answer:
x = 3
Step-by-step explanation:
The diagonals bisect each other and are congruent , then
OD = OA , that is
3x + 1 = 2x + 4 ( subtract 2x from both sides )
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Can someone help me solve please
[tex]x + 2 \sqrt{x} - 3 = 0[/tex]
Answers
Answer:
x = 1
Step-by-step explanation:
Given
x + 2[tex]\sqrt{x}[/tex] - 3 = 0 ( subtract x - 3 from both sides )
2[tex]\sqrt{x}[/tex] = 3 - x ( square both sides )
4x = (3 - x)² ← expand using FOIL
4x = 9 - 6x + x² ( subtract 4x from both sides )
0 = x² - 10x + 9 ← in standard form
0 = (x - 1)(x - 9) ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are solutions.
x = 1 : 1 + 2[tex]\sqrt{1}[/tex] - 3 = 1 + 2 - 3 = 0 → x = 1 is a solution
x = 9 : 9 + 2[tex]\sqrt{9}[/tex] - 3 = 9 + 6 - 3 = 12 ≠ 0
x = 9 is an extraneous solution while x = 1 is a solution
The vertex of the parabola below is at the point (1, 5), and the point (2, 8) is on the parabola. What is the equation of the parabola? A. y = 2(x – 1)2 + 5 B. y = 3(x + 1)2 + 5 C. y = 3(x – 1)2 + 5 D. y = 2(x + 1)2 + 5
Answers
Answer: B
Step-by-step explanation:
the parabola having (1,5) as vertex have as equation:
y=k*(x-1)²+5
It is passing through (2,8)
8=k*(2-1)²+5 ==> k+5=8 ==> k=3
equation is y=3(x-1)²+5
Answer B
The slope of the line is:
Answers
How many solutions exist for the given equation?
3(x-2)=22-x
O zero
Oone
Otwo
Oinfinitely many
Answers
Answer:
one solution
Step-by-step explanation:
3(x-2)=22-x
Distribute
3x -6 = 22-x
Add x to each side
3x-6+x = 22-x+x
4x-6 =22
Add 6 to each side
4x-6+6 = 22+6
4x = 28
Divide by 4
4x/4 = 28/4
x = 7
There is one solution
Answer:
It has only one solution
Step-by-step explanation:
[tex]3(x - 2) = 22 - x [/tex]
open the brackets:
[tex]3x - 6 = 22 - x[/tex]
collect like terms together:
[tex]3x + x = 22 + 6[/tex]
then solve:
[tex]4x = 28 \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
The sum of two numbers is 50. If the larger number is divided by the
smaller number we get 7/11. Find the numbers.
Answers
Answer:
Set two equations:
Number #1 = xNumber #2 = y[tex]\left \{ {{x+y=50} \atop {\frac{x}{y}=\frac{7}{11} }} \right.[/tex]
Rearrange one of the equations to find the value of a variable:
[tex]x+y=50\\x=50-y[/tex]
Substitute in that value into the other equation:
[tex]\frac{50-y}{y}=\frac{7}{11}[/tex]
Cross-multiply & solve for y:
[tex]7y=11(50-y) \\7y=550-11y\\7y+11y=550\\18y=550\\y=\frac{550}{18}=\frac{275}{9}[/tex]
Substitute in the value to the original equation to find x:
[tex]\frac{x}{\frac{275}{9}}=\frac{7}{11} \\\frac{9x}{275}=\frac{7}{11} \\9(11)x=275(7)\\99x=1925\\x=\frac{1925}{99} =\frac{175}{9}[/tex]
Therefore, the answer will be:
x = [tex]\frac{175}{9}[/tex]y = [tex]\frac{275}{9}[/tex]You can check your answers by:
[tex]\frac{175}{9} +\frac{275}{9} =\frac{450}{9} =50[/tex]
[tex]\frac{\frac{175}{9} }{\frac{275}{9} } =\frac{175}{9} *\frac{9}{275} =\frac{175}{275}=\frac{7}{11}[/tex]
Answer:
x = 175/9
y = 275/9
Step-by-step explanation:
Let the larger number be 'x' and smaller number be 'y'
sum of two numbers is 50.
x +y = 50 --------(I)
x = 50 - y -------------(II)
The larger number is divided by the smaller number we get 7/11.
[tex]\frac{x}{y}=\frac{7}{11}\\\\[/tex]
Cross multiply,
11x = 7y
11x - 7y = 0 ------------(III)
Substitute x = 50 -y in equation (III)
11*(50-y) - 7y = 0
11*50 - 11*y - 7y = 0 {Distributive property}
550 - 11y - 7y = 0
550 - 18 y = 0 {Combine like terms}
Subtract 550 from both sides
- 18y = -550
Divide both sides by (-18)
y = -550/-18
y = 275/9
substitute y = 275/9 in equation (III)
[tex]11x - 7*(\frac{275}{9})=0\\\\11x-\frac{1925}{9}=0\\\\11x =\frac{1925}{9}\\\\x=\frac{1925}{9*11}\\\\x=\frac{175}{9}[/tex]
In the right triangle ABC, angle A is 36 degrees.
Answers
Answer:
Step-by-step explanation:
Start with the Big 3. The Big three are the ones on your calculator. The other three are the reciprocals of the big 3.
Sin A = 0.5878
Cos A = 0.8090
Tan A = 0.7265
=============
Now for the reciprocals. I'll leave you to put them in the order that the question asks for.
Cot A = 1/ Tan(A) = 1/0.7265 = 1.3763
CSC A = 1/sin (A) = 1/0.5878 = 1.7013
SEC A = 1/ Cos(A) = 1/0.8090 = 1.236
Help is greatly appreciated:)
Answers
Find the first four terms of the sequence given by the following.
an=51 + (n-1).8, n=1, 2, 3...
Answers
Answer:
Step-by-step explanation:
a1 = 51 + (1 -1 ) * 0.8
a1 = 51
a2 = 51 + (2 - 1)*0.8
a2 = 51 + 0.8
a2 = 51.8
a3 = 51 + (3 - 1)*0.8
a3 = 51 + 2*0.8
a3 = 51 + 1.6
a3 = 52.6
a4 = 51 + (4 - 1)*0.8
a4 = 51 + 2.4
a4 = 53.4
una caja contiene 2 bolitas blancas y 3 blancas .la probabilidad de que la primera extraída sea blanca y la segunda sea negra , sin reponer la primera
Answers
si cinco son blancas como va a ver una negra ?
What is the factored form of the expression x^2-7x-18
Answers
Answer:
(x-9)(x+2)
Step-by-step explanation:
x^2-7x-18
What 2 numbers multiply to -18 and add to -7
-9*2 = -18
-9+2 = -7
(x-9)(x+2)
Answer:
Below.
Step-by-step explanation:
x^2 - 7x - 18
-9 * 2 = -18 and -9 +2 = -7 so the factors are:
(x - 9)(x + 2)
NEED HELP ASAP
WILL MARK BRAINLIEST
Answers
Answer:
3840
Step-by-step explanation:
if 120 divided by 750 is 16% then 16% of 24000 is 3840
Number of students out of surveyed students who live within 500 miles
= Total number of students surveyed - Number of students who live 500 miles away or more
= 750 - 120
= 630
Ratio of number of students surveyed to the number of students out of them living within 500 miles
= 750:630
= 25:21
Let the actual number of students living within 500 miles be x.
If the students are surveyed randomly then,
Ratio of number of students surveyed to the number of students out of them living within 500 miles = Ratio of actual number of students to the number of actual students living within 500 miles
=> 25:21 = 24000:x
=> 25/21 = 24000/x
=> x = (24000×21)/25
=> x = 504000/25
=> x = 20160
So, the number of actual students who live within 500 miles is 20160.
Answer in one decimal places
Answers
Answer:
ffyjbcjklkkofdfkjjjjj.ghjnn
Answer:
x = 126.9° , x = 306.9°
Step-by-step explanation:
Given
3tanx = - 4 ( divide both sides by 3
tanx = - [tex]\frac{4}{3}[/tex]
Since tanx < 0 then x is in 2nd / 4th quadrants
x = [tex]tan^{-1}[/tex] ([tex]\frac{4}{3}[/tex] ) ≈ 53.1° ← related acute angle
Then
x = 180° - 53.1° = 126.9°
x = 360° - 53.1° = 306.9°
2. US, SV and UV are the midsegments of triangle QRT. If the length of US is 22 cm, what is the length of QT?
The last one says 33cm
Answers
Based on the triangle midsegment theorem, the length of QT is calculated as: B. 44 cm.
What is the Triangle Midsegment Theorem?Using the image above as a reference, the triangle midsegment theorem states the length of the midsegment US, of triangle QRT is parallel to the third side, segment QT, and therefore has a length that is half of the length of segment QT.
Given that US is a midsegment in triangle QRT, and it is equal to 22 cm, therefore, we can find the length of the third side it is parallel to, side QT by applying the triangle midsegment theorem as explained below:
The length of US = 1/2(the length of QT)
Substitute
22 = 1/2(QT)
Multiply both sides by 2
2(22) = QT
44 = QT
QT = 44 cm
Therefore, the answer is: B. 44 cm.
Learn more about the triangle midsegment theorem on:
https://brainly.com/question/12234706
#SPJ1
Answer:
B. 44 cm.
Step-by-step explanation:
Given f(x)=3x^3-4x+k and x+2 is a factor of f(x), then what is the value of k?
Answers
Answer:
k is 16
Step-by-step explanation:
Factor is ( x+2 ):
[tex]{ \sf{x + 2 = 0}} \\ { \sf{x = - 2}}[/tex]
Root is -2.
[tex]{ \bf{f(x) = 3 {x}^{3} - 4x + k}} \\ { \sf{f( - 2) = 0}} \\ { \sf{3 {( - 2)}^{3} - 4( - 2) + k = 0 }} \\ { \sf{ - 24 + 8 + k = 0}} \\ { \sf{ - 16 + k = 0}} \\ { \sf{k = 16}}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is correct about the data set 2,4,6,8,10,12,14,16?
A. The data set has a mode that is not in the data set
B. The data set has a median that is not in the data set
C. The data set has the same median and mode
D. The data set has an interquartile range of 9
Answers
Answer:
A. The data set has a median that is not in the data set
Step-by-step explanation:
The median of the data set is the middle most number because there is an even amount of number its 8+10/2 or 9 and that is not in the data set. There is no mode because no number is repeated. The IQR is 12+14/2-4+6/2 or 8 so that means the correct answer is a.
Is 2.73234(34 repeating) rational or irrational?
Answers
It's rational because of the repeating digits.
We have
x = 2.732343434…
Then
1,000x = 2,732.343434…
and
100,000x = 273,234.343434…
Subtracting these makes the fractional part go away, leaving you with
100,000x - 1,000x = 273,234.343434… - 2,732.343434…
100,000x - 1,000x = 273,234 - 2,732
99,000x = 270,502
x = 270,502/99,000 = 135,251/49,500
which is clearly a rational number.
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
O a circle includes its diameter
O the set of points is in a plane
O a circle includes its radius
O the set of points are collinear
Answers
A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:
CenterRadiusDiameterPoints in a planeBased on James' definition of a circle, he needed to specify that the points are in a plane (option c).
As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:
the set of points on a linethe set of points in a planethe set of points in a regionEtcOf this numerous possible interpretation, James should have specified that the set of points is in a plane
Learn more about circles at:
https://brainly.com/question/12930236
Two sides of an isosceles triangle have lengths of 4 and 8. What is the length of the third side?
Answers
Answer:
8
Step-by-step explanation:
Let's start with a simple fact: two sides of an isosceles triangle must be equal. Let's suppose the missing side is 4
That would mean that 4 + 4 equals 8. You must pick a side that exceeds 8, but you loose the property of 2 sides need to be equal.
So the answer has to be 8. The final size of the sides is 4 8 and 8. 4 and 8 exceed the third side (8).
8 and 8 certainly exceed 4.
THANK YOU. HELP pls!!
Answers
Answer:
Your question is inadequate to provide an answer
Step-by-step explanation:
Please upload full question
JK＝LM (given)
JL＝LJ (shared side)
∴△JML≌△LKJ (SSS)
∠MLJ＝∠KJL
∴ML∥KJ
ML＝KJ
ML∥KJ
∴JMLK is a parallelogram
Hope my answer helped u :)
Pleas answer will give brainliest!!!!
Answers
Answer:
second option is correct
Step-by-step explanation:
6x^2 - 13x -5
using middle term break method
6x^2 - (15x - 2x) - 5
6x^2 - 15x + 2x - 5
take common
3x(2x - 5) +1(2x - 5)
(2x - 5)(3x +1)
Please answer this, Its due in a few minutes
Answers
Answer:
The final solution is 2.
y ÷ 2 + x ; use x = 1 and y = 2
(2) ÷ 2 + (1) -----> divide 2 by 2
1 + 1 ----> add the quotient of 2/2 to 1
2 ---> answer
Answer:
2
Step-by-step explanation:
(To make this easier I will put this in steps)
Step 1 : Substitute
As you can see we are given the amount the variable stands for so we can simply just substitute them out...
y / 2 + x OR 2 / 2 + 1
Step 2 : Solve
Now that there are no variables this should now be pretty simple to solve.
2/2 = 1 so...
1 + 1
Then you would add them and get 2
y / 2 + x = 2
Hope this helps :)
