The left side of the equations is equal to the right side for the values (3/14,5/14).
What is a system of equations?
A system of equations is a set of two or more equations that contain multiple variables. The goal is to find the values of the variables that make all the equations in the system true at the same time. There are different methods to solve a system of equations, such as substitution, elimination, and graphing.
To solve the system of equations given, we can use the substitution method:
1-s = 3r
7s = 4 - 6r
We can start by solving the first equation for one of the variables.
1-s = 3r
s = 1 - 3r
Now we can substitute this expression of s into the second equation
7(1 - 3r) = 4 - 6r
7 - 21r = 4 - 6r
-14r = -3
r = 3/14
Now we can substitute this value of r into either equation to find the value of s
s = 1 - 3r
s = 1 - 3(3/14)
s = 1 - 9/14
s = 5/14
So, the solution of the system of equations is (r,s) = (3/14,5/14)
We can check by substituting the solution into the original equations.
3r = 1 - s = 1 - 5/14 = 9/14
7s = 4 - 6r = 4 - 6(3/14) = 4 - 18/14 = -14/14 = -1
The solution is correct, since the left side of the equations is equal to the right side for the values (3/14,5/14)
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Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
Answer:
A) [tex]AC=DF[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Options
A) [tex]AC=DF[/tex]
B) [tex]AB=DE[/tex]
C) [tex]\angle B=\angle E[/tex]
D) [tex]\angle A=\angle D[/tex]
Required
Which does not prove the congruence of ABC and DEF using ASA?
From the attachment, we have the following:
[tex]\angle A = \angle D[/tex] --- Angle
[tex]AB = DE[/tex] --- Side
[tex]\angle B = \angle E[/tex] ---- Angle
The ASA theorem means that 1 side of both triangles are equal.
By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.
However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem
The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x)
Complete Question:
Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
Answer:
[tex]A = B[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]
[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]
Required
Determine how they can show if the products are the same or not
To do this, we simply factorize each polynomial
For, Polynomial A: We have:
[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]
Factor out 4x
[tex]A: 4x(x - 1)(x^2 - 4)[/tex]
Apply difference of two squares on x^2 - 4
[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex]
For, Polynomial B: We have:
[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]
Expand x^2 + x - 2
[tex]B:(x^2 + 2x - x - 2)(4x^2- 8x)[/tex]
Factorize:
[tex]B:(x(x + 2) -1(x + 2))(4x^2- 8x)[/tex]
Factor out x + 2
[tex]B:(x -1) (x + 2)(4x^2- 8x)[/tex]
Factor out 4x
[tex]B:(x -1) (x + 2)4x(x- 2)[/tex]
Rearrange
[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]
The simplified expressions are:
[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex] and
[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]
Hence, both polynomials are equal
[tex]A = B[/tex]
Compounds A and B are used in an experiment.
The equation y=700(0.8)x represents the remaining amount of compound A, in grams, after x hours. The table shows the remaining amount of compound B.
Time (h) Grams of B
1 800
2 400
3 200
What is the positive difference in the initial amount of each compound?
Enter your answer in the box.
9514 1404 393
Answer:
900 grams
Step-by-step explanation:
The equation tells you the initial amount of A is 700 grams.
The table tells you B is being cut in half each hour, so the amount when h=0 is 2×800 = 1600 grams.
The difference in the initial amounts is ...
1600 -700 = 900 . . . grams
- 2 + 0.8) ÷ (- 1.3) =
[tex] ( - 2 + 0.8) \div ( 1}^{2} - 1.3[/tex]
PLS HELP WITH THIS MATH
R950 is divided between Ann, Jill, Agnes Ann gets R100 more than Jill, Jill gets R50 more than Agnes. How much did Agnes get
28.3m by 21.5m, what is the area
Help - I don’t understand this please help
Step-by-step explanation:
have you taken the picture from the PC which website is this is tell me
Is 2j + 2 equivalent to 2j +1 ?
uwo2i2ii2ii2i282i22ii339289191.
46o
I know the answer for this isn't a , but I'm not sure what the answer is. Cuz I would think you would be z y , y x, and XZ but that's not answer choice
Answer:
its the first one
Step-by-step explanation:
1.
What is the surface area of this prism
2. What is the volume of prism
Answer:
SA = 69.6in²
V = 28.8in³
Step-by-step explanation:
SA = 8 × 1.5 × 2 + 8 × 2.4 × 2 + 2.4 × 1.5 × 2 = 69.6in²
V= 8 × 1.5 × 2.4 = 28.8in³
I am not a professional, I am simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Which ordered pair is in the solution set of the inequality shown?
Answer:
number 2: (-6, 0)
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length of E D is 12.
What is the length of the side opposite ∠D?
units
sin(D) =
Answer:
5 and 5/13
Step-by-step explanation:
What is the length of the side opposite ∠D?
✔ 5
units
sin(D) =
✔ 5/13
What is an equation of the line that passes through the points (2, -2) and (8,4)?
Please I’ll give you BRAINLEST
Answer:
y=x-4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(4-(-2))/(8-2)=(4+2)/6=6/6=1
slope is 1
y-y1=m(x-x1) where m=slope
y-(-2)=1(x-2)
y+2=x-2
y=x-2-2
y=x-4
5x + 2y = 10
What is the substitution?
Hi there!
The substitutions are 10 and 0.
Tom had 114 dollars to spend on 9 books. After buying them he had 15 dollars. How much did each book cost?
Answer:
11
Step-by-step explanation:
114-15=99
99÷9=11
Steven sold his old car and deposited the $3500 in a savings account at 3.5 percent interest for 2.5 years.
What was the total amount of money in the account at the end of this time?
Answer:
3500.035
I'm not sure
.
Step-by-step explanation:
.
Answer: It’s $3,806.25
Step-by-step explanation:
No explanation, I did the quiz and the other person who answered gave an answer that wasn’t in the multiple answers so I guessed and got it correct.
................... 8x-0.2=9.8
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
x = 1.25
Step-by-step explanation:
8x - 0.2 =
8(1.25) - 0.2 =
10 - 0.2 = 9.8
hope this helped!
The student council was preparing for the wellness sale. The members divided each type of the donated items equally onto plates. Each plate contained only 1 type of item and every plate had exactly the same number of items. There were no leftovers. What is the greatest number of items that could have been placed on each plate? Wellness Sale Donations Celery 63 Cucumbers 14 Carrots 35 The greatest number of items that each plate could have is nothing items. (Type a whole number.)
Answer:
The greatest number of items on each plate is 7
Step-by-step explanation:
Given
[tex]Celery = 63[/tex]
[tex]Cucumber = 14[/tex]
[tex]Carrot = 35[/tex]
Required
Determine the greatest number of items on each plate
To do this, we simply calculate the GCF of 63, 14 and 35
[tex]63 =3 * 3 * 7[/tex]
[tex]14 = 2 * 7[/tex]
[tex]35 = 5* 7[/tex]
The GCF is:
[tex]GCF = 7[/tex]
Hence:
The greatest number of items on each plate is 7
Five more than 3/4 of a number C is 26 find the number
Answer:
28
Step-by-step explanation:
let x be the number,
(3/4)x+5=26
(3/4)x=21
x=21*(4/3)
x=28
any help would be cool
Step-by-step explanation:
the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .
hint : volume : h×l×w ( height times length times width)
so the cubiod is 12 times 29 times 12 =
you work out the answer for that .
the triangular prism you try working out the volume.
Find the solution of y = 5x – 4 for x = –6.
(26, –6)
(-6, -[tex]\frac{2}{5}[/tex])
(–6, –50)
(–6, –34)
3. İki sayıdan biri diğerinden 4 fazladır. Büyük
sayının 2 katı ile küçük sayının 5 katının
toplamı 120'dir. Buna göre büyük sayı kaçtır?
K 20
E 16
M 22
ACİL ÇÖZÜN LÜTFEN BOŞ CEVAPLARI ŞİKAYET EDİCEM
Answer:
E
Step-by-step explanation:
50 × 2 =100 cevap 120 olucak ve 4 fazla o zaman 120 +4 =124 ediyor yani 16 daha eklememiz lazım cevap E
An airplane flies 2700 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?
Answer:
720 MPH
Step-by-step explanation:
2700 miles / 3.75 hours = 720 MPH
Answer:
720 Mph
Step-by-step explanation:
2700/3.75
don't put this answer in yet. Wait to see if someone has the same answer as mines.
I need help on this one math problem
Answer:
B
I hope this helps.....
how do you simplify 1 1/8 x 3 2/3 someone please help me!
Answer:
4 1/8
Step-by-step explanation:
1 1/8 x 3 2/3 = ?
9/8 x 11/3 = 99/24
99/24 = 4 1/8
Answer:
1. find the least common denominator for the left-hand side fraction. This brings you to 8/8x + 3x/8x = 1/2
2. Add the numerator on the left-hand side of this equation, (8+3x)/8x = 1/2
3. Multiply both sides by 2, that will lead you to (8+3x)/4x =1/1
4. Multiply both sides by 4x, we get 8+3x=4x
5. Finally, subtracting 3x from both sides simplifies the equation to x=8. Note that this is as simple as this expression can get so you can not go any further, therefore 1/x+3/8=1/2 simplifies to x=8.
Step-by-step explanation:
Find two points and slope !
Answer:
slope = 1
two points: (0,-6) and (6,0)
Step-by-step explanation:
Figuring out the slope:
Since we have the two points, we would need to use the slope formula of:
(y2-y1)/(x2-x1)
So it would be (-6 - 0) divided by (0 - 6) = -6/-6 = 1
slope is 1
what is 4876398 -742 x 2+4769-1
Answer: 4,879,682
Step-by-step explanation:
Answer:
4,879,682
Step-by-step explanation:
10.
8. "Orta Asya'da kurulan ilk Müslüman Türk Devleti
Haniyim. Müslümanlığı kabul ederek Abdülkerim
Satuk Buğra Han adını aldım. Devletin resmi dinini
Islamiyet olarak kabul ettim. Bu durum kısa sürede
Türk boylarının islamlaşmasını sağladı."
Satuk Buğra Han'ın bu açıklamalarına göre, Türk-
lerin Müslüman olmasının aşağıdakilerden han-
gisine etki ettiği söylenebilir?
A) Kültürel değerlerini kaybetmelerine
B) Siyasal alanda değişimlere
C) Topraklarini genişletmelerine
D) Yerleşik hayata geçmelerine
if a dozen eggs cost $3.84 calculate the cost of 30 eggs
Answer:
30
Step-by-step explanation: