Which of the following ordered pairs are solutions to the system of equations below?
a. (1, 6)
b. (1, -6)
3. (-1, -6)
4. (-1, 6)
Answers
Given :-
A system of linear equation in two variables .To Find :-
The solution set of the system .Solution :-
The given system of equation is ,
[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]
Firstly , taking equation (ii) ,
[tex] y = 4x +10[/tex]
On subtracting y on both sides, we have ;
[tex] 4x - y +10 = 0[/tex]
Multiplying both sides by 2 ,
[tex] 2(4x -y+10)=2(0)[/tex]
Simplify,
[tex] 8x - 2y = -20 \dots (iii)[/tex]
Adding equation (i) and (iii) ,
[tex] 3x + 2y + 8x - 2y = -20+9[/tex]
Add and subtract the like terms ,
[tex] 11x = -11 [/tex]
Divide both sides by 11 ,
[tex] x = -1 [/tex]
Now substitute this value in equation (i) ,
[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]
Hence the correct option is 4 (-1,6) .
I hope this helps . Let me know if you need any further clarification .
Option 4.
For clear understanding refer to the attachment.
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Step-by-step explanation:
Answer:
1/x^8
Step-by-step explanation:
x^3*x^2 = x^5
x*x*x*x*x*x*x = x^7
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BCDE is a Rhombus.
B
С
55°
E
D
What is the mDBE?
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The answer need help fast please
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Answer:
D.) Equation (4)
Step-by-step explanation:
1. y= (2)+6 =8
2. y=2(2)+4 =8
3. y= 3(2)+2 =8
4. y=5(2)-4 =6
In the table to the right, the P(0) is blank so we can assume P(O) = 0 What does a probability equal to zero mean?
Answers
Answer:
It means there is no chance this will happen or in other words a 0% chance
Step-by-step explanation:
A bag contains 7 yellow marbles and 35 red marbles. If a representative sample contains 2 yellow marbles, then how many red marbles would you expect it to contain? Explain.
Answers
30 maybe, not to sure, sorry if its wrong
8
——
math
pls help geniuses!!
——————————-
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Answer:
C = ( -7 , 6 )
R = 2
SO ...
The ANSWER is "A"
Which of these is a service industry?
A. a textile plant
B. an oil refinery
C. an aircraft manufacturer
D. a dry-cleaning store
I think its either c or b but more but not so sure.... help......
Answers
Its D i hope that helped
So , there is this thing that says : "the circumference of a circle is 7,850 , whats the radious?
Answers
Answer:
1250 (corrected to 3 significant figures)
Step-by-step explanation:
the formula to calculate circumference is 2πr, where r is the radius.
hence, we can form the equation
2πr = 7850
r ≈ 1249.3663
= 1250 (corrected to 3 significant figures)
Does anyone know this problem!! I need help asap!! #help
Answers
Answer:
you times that by 7 I think
Step-by-step explanation:
Answer:
3.5 miles
Step-by-step explanation:
i think, if its wrong- s o r r y ;v;
PLEASE HELP FAST
Let (W) be the number of white T-shirts and (T) the number of tie-dye T-shirts.
w+t=500
15w+20t=9000
If w is on the horizontal axis, then the intercepts of the line for the first equation are
x-intercept: (500,0),
y-intercept: (0,500).
what are the intercepts of the line for the second equation?
The x intercepts is ____
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
The Y intercept is ___
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
Answers
Answer:
x-Intercept: 600,0
y-intercept:0,450
Step-by-step explanation:
Got it right on the test
Answer:
The x intercept is 600, 0. The y intercept is 0, 450.
Step-by-step explanation:
I got it correct on edge.
A construction company takes 1 3/8 hours to remove 2 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
PLEASE HELP!! NO LINKS PLZ
Answers
Answer:
1 9/11 T/h
Step-by-step explanation:
You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.
Unit rateThe unit rate in tons per hour is found by dividing tons by hours:
(2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h
= 1 9/11 T/h
The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.
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im stumped on this question. someone help me plss
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Answer:
One of the answers could be linear
Step-by-step explanation:A linear graph is always a straight line, and this looks to demonstrate that. Sorry if this is incorrect, just my understanding.
The quotient of 10 and a
Answers
Answer:
The answer I believe is 10? Sorry if i am wrong
Step-by-step explanation:
in algebra, if there is a variable without a coefficient, then it just means 1. So a = 1, and 10 ÷ 1 = 10
Plsss someone helpppp find the apothem
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Answer:
Step-by-step explanation:
53. A=6.
54.we use the Pythagorean theorem =>
8^2=(8:2)^2+x^2
64=16+x^2
x^2=64-16=48
=> A=sqrt(48)= 4*sqrt(3).
You can also visit this site,I think it will be helpful for you to understand the solution better: https://www.wikihow.com/Calculate-the-Apothem-of-a-Hexagon
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Answers
Answer:
cylinder91.9 ft³Step-by-step explanation:
a)An object with a uniform circular cross section is generally modeled by a cylinder.
__
b)The formula for the volume of a cylinder is ...
V = πr²h
For the given radius and height, the volume is ...
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The volume of the tree trunk is about 91.9 ft³.
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Answer:[tex] \color{hotpink} \bold{91.85 \: \: ft} [/tex]— — — — — — — — — —
— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)
Formula:[tex] \underline{ \boxed{ \sf \: V=πr²h}}[/tex]where,
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Solution:Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.
– Using the formula above, substitute the givens in the formula then solve.
[tex] V=πr²h[/tex][tex]V=3.14 \times (1.5)² \times 13[/tex][tex] V=3.14 \times (2.25 \times 13)[/tex][tex]V= \underline{ \boxed{ \blue{ 91.85 \: ft ^{3} }}}[/tex]Hence, the volume is 91.85 ft³.
_______________∞_______________
100 points for user sweet Jennifer Whenever we observe a distant planet, star or galaxy, we are seeing it as it was hours, centuries or even millennia ago. This is because light travels at a finite speed (the speed of light) and given the large distances in the Universe, we do not see objects as they are now, but as they were when the light was emitted.
Answers
x y
−1 −10
3 14
y= ?x + (?)
Answers
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
(4k3 +3k3) - (5k3 + 2k4)
Answers
Answer:
-2k
Step-by-step explanation:
Answer: You combine like terms
2k^3-2k^4
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Step-by-step explanation:
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Answer:
x = -5, x = 5
Step-by-step explanation:
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In-n-Out sells their cheeseburger for 4.50 but they charge .50 for extra patties. Carls Jr. sells a cheeseburger for 4.25 and will charge .75 cents for an extra patty. When will the burgers cost the same amount? How many extra patties do they have to order? Solve using tables.
Answers
Answer:
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Step-by-step explanation:
My first question ever, and my last question yet.
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Answers
Answer:
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S = 16*17/2 = 136The temperature on one planet is -42 degrees. On another planet, it is -70 degrees. What is the difference in these 2 temperatures?
Answers
Answer:
28 degree difference
Step-by-step explanation:
-70-(-42) = -28
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Answers
Answer:
Emily has 84 marbles now
Step-by-step explanation:
21×4
=84
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Answers
Answer:
[tex]\frac{i\times d}{100}[/tex]
Step-by-step explanation:
To calculate the discount, we multiply the initial amount (i) to the discount (d) and then divide that answer by 100. After we find that answer we then subtract it from the initial price.
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[tex]c=646.35[/tex]
The computer (after a 7% discount) costs "$646.35 dollars."
Hope this helps.
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There are 2 possible answers for the input 3. When an input has more than 1 possible answer it is not a function.
What is the measure of angle Y in this figure
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Answer:
163
Step-by-step explanation:
What's great about these problems is that when there is a line that is divided by another line, causing 2 angles, the 2 angles must equal 180 degrees. That means the 163-degree angle + either the x or the z angle would equal 180 degrees. The second best part about this is that if it is separated how yours is, with 2 lines, opposite angles are equal. That means that angle x and angle z are equal, as well as the 163 angle is equal to the y angle. Hope this helps with more than just this problem!
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Step by Step
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Answer:
sorryi dont know
Step-by-step explanation:
Find the measure of x
Answers
Answer:
x=3.24
Step-by-step explanation:
cos(29)=x/3.7
x=3.7 cos(29)
x=3.24
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