Answers
Answer:
(-2,6)
Step-by-step explanation:
the actual solution to the system of equations is (-(64/27),(56/9)).
however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!
Sorry for the late answer!
Related Questions
I need help with this problem
Solve the following system of equations using elimination by multiplication.
Answers
If the given equations are indeed
[tex]\begin{cases}x-\frac4{5y} = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
we can solve by substitution. Solve the second equation for x :
[tex]-14x - 4y = -46[/tex]
[tex]\implies 7x + 2y = 23[/tex]
[tex]\implies7x = 23 - 2y[/tex]
[tex]\implies x = (23 - 2y)/7[/tex]
Substitute this into the first equation and solve for y :
[tex]\dfrac{23-2y}7 - \dfrac4{5y} = 9\dfrac45[/tex]
On the right side, write the mixed number as an improper fraction:
[tex]9 + \dfrac45 = \dfrac{45}5 + \dfrac45 = \dfrac{45+4}5 = \dfrac{49}5[/tex]
[tex]\implies \dfrac{23-2y}7 - \dfrac4{5y} = \dfrac{49}5[/tex]
Multiply both sides of this equation by 35y (the LCM of the denominator of all three fractions)
[tex]35y \times \dfrac{23-2y}7 - 35y \times \dfrac4{5y} = 35y \times \dfrac{49}5[/tex]
[tex]5y\times(23-2y) - 7\times4 = 7y \times 49[/tex]
[tex]115y - 10y^2 - 28 = 343y[/tex]
[tex]10y^2 + 228y + 28 = 0[/tex]
[tex]5y^2 + 114y + 14 = 0[/tex]
To solve the quadratic, I'll complete the square :
[tex]5\left(y^2 + \dfrac{114}5y\right) + 14 = 0[/tex]
[tex]5\left(\left(y + \dfrac{57}5\right)^2 - \left(\dfrac{57}5\right)^2 \right) + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 - \dfrac{57^2}5 + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}5[/tex]
This system has no real solutions since the square of any real number must be positive.
If we allow complex numbers, we can continue solving to end up with two complex solutions for y,
[tex]\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}{25}[/tex]
[tex]y + \dfrac{57}5 = \pm i \sqrt{\dfrac{3179}{25}}[/tex]
[tex]y = -\dfrac{57}5 \pm i\dfrac{17\sqrt{11}}5[/tex]
and we can go on to solve for x.
Hence my comment; I suspect you meant to write the system
[tex]\begin{cases}x-\frac45 y = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
because its solution is far simpler. Multiplying through the first equation by 5 gives
[tex]5\times x - 5 \times \dfrac45 y = 5 \times 9\dfrac45[/tex]
[tex]\implies 5x - 4y = 49[/tex]
(since we know 9 + 4/5 = 49/5)
Meanwhile, multiplying through the second equation by -1 gives
[tex]-1 \times (-14x) + (-1) \times (-4y) = -1 \times (-46)[/tex]
[tex]\implies 14x + 4y = 46[/tex]
So if we combine the two equations, we can eliminate y and solve for x :
[tex](5x - 4y) + (14x + 4y) = 49 + 46[/tex]
[tex]\implies 19x = 95[/tex]
[tex]\implies \boxed{x = 5}[/tex]
and solving for y gives
[tex]14x + 4y = 46[/tex]
[tex]\implies 70 + 4y = 46[/tex]
[tex]\implies 4y = -24[/tex]
[tex]\implies \boxed{y = -6}[/tex]
How many solutions does this system have?
y=2/3x + 32x - 3y = -9
A. One Solution
B. Two Solutions
C. No Solutions
D. Infinitely Many Solutions
Answers
Answer:
No solutions since they are two variables and it supposed to be solved simultaneously
Alg 2 the problem is below please help !!!
Answers
Fill in the blanks with the answer to each question based on information provided.Two toy robots are having a race. Robot A can go 14 meter in 15 seconds. Robot B can go 1 meter in 50 seconds.1) If Robot A continues at that same speed, how long will it take to go 1 meter? Remember units! __________2) How long for Robot A to go 4 meters at that speed? Remember units! _________
Answers
Answer:
1 1/14 seconds4 2/7 secondsStep-by-step explanation:
We are being asked for times, so we can express the rate in terms of seconds per meter.
(15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter
__
1) It will take Robot A 1 1/14 seconds to go 1 meter.
2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)
Từ điểm A ở ngoài (O) kẻ các tiếp tuyến AB, AC với đường tròn (B và C là các tiếp điểm), BC cắt OA tại D, trên cung nhỏ BC lấy E, ED cắt (O) tại F chứng minh góc BAE = góc CAF
Answers
Write the gcf of:
200x^2y^5 and 1000x^3y^2
Answers
Answer:
Step-by-step explanation:
200 divides into 1000 so that is part of the HCF.
x^2 and x^3 are present so the HCF contains x^2
y^2 and y^5 are present so the HCF contains y^2
HCF = 200*x^2 * y^2
Lalit got 50% in Hindi,75% in English and 90 marks in maths. The maximum marks in each subject were 100,140 and 160 respectively. Find his aggregate percentage
Answers
Answer:
61%Step-by-step explanation:
MARKS
% Max Actual
Hindi 50% 100 50
English 75% 140 105
Math 160 90
400 245 61%(245/400)
I need help with this
Answers
Answer:
a and b
Step-by-step explanation:
Find the sum of 4+3x and 5-4x+2x 2
Answers
Answer:
[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]
To find - sum of the given two terms.
[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]
—————————————————[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]
Here ,we basically added the like terms together..
like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...
since there's none other term having "x²" as the coefficient.. so 2x² will be left as it is!
hope helpful~
~ExhaustedZombieThe sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9
How to find sum of expressionsGiven:
4+3x
5-4x+2x²
Sum means addition of expressions(4+3x) + (5-4x+2x²)
= 4 + 3x + 5 - 4x + 2x²
= 2x² + 3x - 4x + 5 + 4
= 2x² + 7x + 9
Therefore, the sum of the expression is 2x² + 7x + 9
Learn more about sum:
https://brainly.com/question/11562149
: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?
Answers
Answer:
882
Step-by-step explanation:
840 : 100 x 105 = 882
You have 4/3 chocolate bars. You want to give 1/2 of the chocolate bars you have to your friend. What fraction of the chocolate bars would each of you get
Answers
The fraction 8/3 of the chocolate bars would each of you get.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
You have 4/3 chocolate bars.
You want to give 1/2 of the chocolate bars to your friend.
To find the fraction of the chocolate bars would each of you get:
Use division operation,
4/3 ÷ 1/2
Rearranging to multiplication term,
4/3 x 2/1
= 8/3
Therefore, 8/3 fraction of the chocolate bars would each of you get.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
1.
Which expression is equivalent to 5(3x + 1)(x − 2)(x – 3)?
Answers
Answer:
15x^3-70x^2+65x+30
Step-by-step explanation:
1) 5(3x+1)= (15x+5)
2) (15x+5)(x-2)=15x^2-25x-10
3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30
what would be the resulting difference if the line transition: width 2s, height 2s; was removed from the first css rule?
Answers
Answer:
ages would no longer get larger as the mouse hovers over them. The transition would happen over 10s, since this is the default duration.
Step-by-step explanation:
The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make
Answers
What the judge should do is adhere strictly to the rules.
This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.
Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.
Learn more about referees in https://brainly.com/question/8186953
The referee will have to allow halftime interval as a result of one of the
players wanting it.
Every sport has rules which guides the game to ensure fair play and prevent
confusion from happening. Referee decisions are based on the rule of the
game but can also be negotiated.
In this scenario, if all the players wanted eliminate the halftime interval, it
could have been honored .But in this case, the referee has to follow the rules
of the game due to the other player disagreeing with the suggestion.
Read more about Sport rules https://brainly.com/question/1862654
Please help ASAP. Trigonometry
Write TWO different equations that you could use to solve for x. You don't need to solve.
Answers
Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
what is 80,704 rounded to the nearest 10 thousand
Answers
80,000
Just look at the number in the ten thousand place and check if you have to round up or down.
Kayla was asked to rewrite the polynomial expression x ^ 2 + 5x + 9 she rewrite the polynomial ? How could she rewrite with the polynomial?
Answers
Answer:
x²+6x+9
x²+3x+3x+9
x(x+3)+3(x+3)
=(x+3)(x+3)
y=-2x-3
y=2x-1
y=x+ 4
y=-x+ 2
y=-2x-3
y= x+ 4
y=2x-1
y=-x+ 2
match with WXYZ
Answers
Step-by-step explanation:
I don't understand. what are W, C, Y, Z ?
all I can do is solving the 4 systems of equations for x and y.
y = -2x - 3
y = 2x - 1
adding the equations
2y = 0 - 4 = -4
y = -2
-2 = 2x - 1
-1 = 2x
x = -1/2
y = x + 4
y = -x + 2
adding the equations
2y = 0 + 6 = 6
y = 3
3 = x + 4
x = -1
y = -2x + 3
y = x + 4
multiply second equation by 2, add the result to first
2y = 2x + 8
3y = 0 + 11 = 11
y = 11/3
11/3 = x + 4 = x + 12/3
x = -1/3
y = 2x - 1
y = -x + 2
multiply second equation by 2, add the result to first
2y = -2x + 4
3y = 0 + 3 = 3
y = 1
1 = -x + 2
-1 = -x
x = 1
Which table could be a partial set of values for a linear function?
Answers
Answer:
I think it might be the bottom right one but not sure
Identify all the obtuse angles shown
Answers
Answer:
Option D is correct.
Explanation:
An obtuse angle is an angle that has more than 90°. In the picture, we can clearly see that ∠XYZ has more than 90°. This is an obtuse angle. ∠XWZ is also more than 90°, so that angle is also classified as an obtuse angle. Hence, Option D is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
pls help if you can.
Answers
Answer:
A. 85 B. 87 C. 60
Step-by-step explanation:
As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.
A: [360-(132+63+80)]
360 - 275
=85
B: [180(60+33)]
180 - 93
=87
C: [360(120+60+120)]
360 - 300
=60
Can someone plz help Me?
Answers
Answer:
The answer is A!
Step-by-step explanation:
what is twenty-five hundred-thousandths in decimal form
Answers
Answer:
5.620
Step-by-step explanation:
I hope this helps you
Answer:
0.00025
Step-by-step explanation:
Here is a example
Question 1
Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
1 / 116
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.
Answers
Answer:
there are infinitely many solutions
Step-by-step explanation:
1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.
hope this helps <3
Answer: there is no solution.
Step-by-step explanation:
We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.
ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.
Answers
The slope of B'C' is 1 and it can be determined by using formula of scale factor.
Given that,
ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
We have to determine,
What is the slope of B'C'?
According to the question,
ABC is an isosceles right triangle in which,
Slope of AB = -1
And AB is perpendicular to BC.
When the two lines are perpendicular to each other then,
[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
Length of Line segment A'B'= 1.8 × AB
So, the slope of the two-line Segment that is AB and A'B' are the same.
Slope of A'B'= -1
Length of Line segment C'B'= 1.8 × CB
So, the slope of the two lines that is CB and C'B' are the same.
The slope of B'C' is 1.
Hence, The required slope of B'C' is 1.
For more details Slope refer to the link given below.
https://brainly.com/question/8102490
Answer:
Slope of 1
Step-by-step explanation:
C. 1
I really really really need help with this
Answers
Answer:
404
Step-by-step explanation:
Simplify = 8 + 30 x 13 + 6
Left to right = 8 + 390 + 6
Result = 404
Leave a brainliest if this helped.
Answer:
404
Step-by-step explanation:
do the equation inside the brackets first (BIDMAS) - 5 x 6 = 30
48 / 6 = 8
8 + (30 x 13) + 6 = 38
30 x 13 = 390
8 + 390 + 6 = 404
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.
3x + y = -2
y = 2x + 3
Answers
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?
Answers
Answer:
62.273
Step-by-step explanation:
sorry it took me a little while to translate i speak only english
The radius of a circle is 4.2 m. Find the circumference to the nearest tenth.
Answers
0 6. What is the constant of proportionality for the set of data in the table? 10 8 2 Hours 70 56 42 14 Miles 48
Answers
Answer:
k = 7
Step-by-step explanation:
The constant of proportionality k is calculated as
k = [tex]\frac{miles}{hours}[/tex]
Using the values from the table , then
k = [tex]\frac{14}{2}[/tex] = [tex]\frac{42}{6}[/tex] = [tex]\frac{56}{8}[/tex] = [tex]\frac{70}{10}[/tex] = 7