Answer:
None, each of the four given system of equations have only one solution
Step-by-step explanation:
A system of equations have infinitely many solutions, when the equations represent the same line and therefore, the two equations are the same;
Each of the options are examined as follows;
a. 4·x + 2·y = 5...(1)
-4·x - 2·y = 1...(2)
Expressing both equations with y as the subject, we have;
The value of y in equation (1) is given as follows;
4·x + 2·y = 5
2·y = 5 - 4·x
∴ y = 5/2 - 2·x
The value of y in equation (2) is given as follows;
-4·x - 2·y = 1
-2·y = 1 + 4·x
∴ y = -1/2 - 2·x
Therefore, equation (1) and equation (2) represent the same equation and are therefore equal and have only one solution
b. -10·x + y = 4...(1)
10·x - y = 4...(2)
Therefore, we have;
Adding equation (1) to equation (2) gives;
-10·x + 10·x + y - y = 4 + 4
0 + 0 = 8
0 = 8
Given that 0 ≠ 8, equation (1) is not equal to equation (2) and the two equations have only one solution
c. -8·x + y = 2...(1)
8·x - y = 0...(2)
By examination, the values on the left hand side, LHS, of both equations are the same magnitude but opposite in sign, while the right hand side, RHS, of both equations, have different magnitude
Therefore, the two equations are different and have only one solution
d. -x + 2·y = 6...(1)
7·x - 2·y = 12...(2)
Making y the subject of both equations gives;
Equation (1)
2·y = 6 + x
y = 3 + x/2
Equation (2)
2·y = 12 - 7·x
y = 6 - 3.5·x
Therefore, the two equations are different and have only one solution
Answer:
B
Step-by-step explanation:
I'm guessing the answer is B. I know why the other person said all of them only have one solution. But, On b You wrote -10x+y=4 10x-y=4
When really it was supposed to be -10x+y=4 10x-y=-4
If x = -7 and y = 2, what is Vy - 14x?
Answer:
10
Step-by-step explanation:
sqrt(100) is 10
Replace x and y with their values:
Sqrt (2 -14(-7))
Multiply 14 and -7
Sqrt(2 - -98)
Add
Sqrt(100)
Simplify to get 10
Answer = 10
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Amar wants to make lemonade for a birthday party. He wants to mix 12 tablespoons of sugar in water. He only has a teaspoon which needs to be used 4 times to be equivalent to one tablespoon. At this rate, how many teaspoons of sugar will Amar need to make the lemonade?
HOW MANY TEASPOONS OF SUGAR WILL AMAR NEED TO MAKE LEMONADE !?
Answer:
Amar will need 48 teaspoons of sugar to make lemonade
Step-by-step explanation:
If u need 4 teaspoons to make one tablespoon, then you just can do
4 x 1 = 4
so, having that now you can do
4 x 2 = 8
there you get 8 teaspoons
Now you do
4 X 12 = 48
Guys help on this I hate math !!!
Answer:
1. 194
2. 189
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
Answer:
1. 194 people increased.
2. Edith has 189 stamps more than Parick.
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
PLEASE HELP ASAP! which answer choice?
a. (2, 3)
b. (4, 0)
c. (4, 2)
d. (6, 3)
Answer:
C
Step-by-step explanation:
Solve the following word problems.
1. The ratio of red marbles and blue marbles that Carlo has is 8: 3. When he
exchanged 35 red marbles for 20 blue marbles from his brother, he was left with
equal number of red and blue marbles.
How many red and blue marbles did he have at the beginning?
How many red and blue marbles did he have now?
Answer:
see below
Step-by-step explanation:
R:B = 8:3
5 ratio marbles is 35 (to make ration 3:3)
1 ratio=7
He originally had 56 red marbles and 21 blue (77 total)
Now he has 21 Red and 21 Blue (42 total)
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
53 = 8 + v
Step-by-step explanation:
53 is what we are summing to so it is on one side of the equation. 53 is the results of us adding (sum) 8 to v (height)
Math, math,math, hate it all year long
Answer:
the answer is $50.00
Step-by-step explanation:
okay so first u gave to subtract $80.00 from $430 u will get $350.00 then divide it by 7 and then you will get your answer
Answer:
ok
Step-by-step explanation:
(n+t) divided by 4 i need the answer please
Answer:
[tex]\frac{n+t}{4}[/tex]
Step-by-step explanation:
(n+t) divided by 4
The equation would be [tex]\frac{n+t}{4}[/tex]
Hope this helps
Answer:
(n+t)/4
Step-by-step explanation:
Find the length of side AB.
Give your answer to 1 decimal place.
C
12 cm
62°
A
B
Answer:
5.5 = AB
Step-by-step explanation:
take 62 degree as reference angle
using cos rule
cos 62 = adjacent / hypotenuse
0.46 = AB / 12
0.46*12 = AB
5.52 = AB
5.5 = AB
The length of side AB in the given right angle triangle of hypotenuse 12 cm is 5.7 cm.
A triangle with one angle at [tex]90^o[/tex] is called right angle triangle.
Given that:
Hypotenuse = 12 cm
[tex]\theta = 62^o[/tex]
The length of side AB in the given right angle triangle is calculated as:
Using trigonometric function,
[tex]\cos\theta = \dfrac{base}{hypotenuse}[/tex]
Let, the value of base be x
Substitute the values in the given formula:
[tex]\cos 62^o = \dfrac{x}{12}[/tex]
Using the trigonometric table, the value of [tex]\cos 62^o[/tex] is 0.4694
[tex]0.4694 \times 12[/tex]= x
x= 5.6328
x = 5.7
Thus, the length of side AB to 1 decimal place is 5.7 cm
Learn more about trigonometric function here:
https://brainly.com/question/25618616
#SPJ7
has endpoints J(13, 8) and K(–6, –6). Find the coordinates of the midpoint of .
Answer:
the midpoint of it is 8,-6
Step-by-step explanation:
rhgsr egh
Explain why a + 2b = 110 in the triangle shown
Answer:
Step-by-step explanation:
According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:
a + 2b + 70 = 180 so
a + 2b = 180 -70 and
a + 2b = 110. That's why.
binomial theorem to expand (x+4)^4
Answer:
Step-by-step explanation:
(x+4)^2.(x+4)^2
= x^4 +16x^3+96x^2+256x+256
Calculate the value of 1.8 / 0.4 x 0.36 / 0.24
Answer:
6.75
Step-by-step explanation:
that is the answer by the way
Simplify completely..........
Answer:
[tex]\frac{x}{x-1}[/tex]
Step-by-step explanation:
[tex]\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}[/tex] [tex][ \ x^ 2- 1 = (x-1)(x + 1) \ ][/tex]
[tex]= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}[/tex] [tex][\ Taking \ LCM \ ][/tex]
[tex]= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}[/tex]
Finding LCM :
Example :
[tex]\frac{1}{6} + \frac{1}{3}[/tex]
6 = 2 x 3
3 = 1 x 3
[tex]\frac{1}{2 \times 3} + \frac{1}{ 3}[/tex] [tex]= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}[/tex]
[ To make the denominators same : the second fraction is multiplied and divided by 2 ]
Similarly :
[tex](x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)[/tex]
Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )
Therefore the second term becomes ,
[tex]\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}[/tex]
You can get to your friends house in an hour and a half on your electric scooter.
Answer:
whats the question here?
What is the fractional form of 0.8?
a. 8/10
b. 1/8
c. 8/9
d. 8/11
Answer:
a. 8 / 10
Step-by-step explanation:
0.8 = 8 / 10
Answer:
8/10
Step-by-step explanation:
0.8
The number is in the tenths place
The denominator is 10
8/10
Find the value of x. X + 11 + 8x = 29
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:2}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x + 11 + 8x = 29[/tex]
[tex]➺ \: x + 8x = 29 - 11[/tex]
[tex]➺ \: 9x = 18[/tex]
[tex]➺ \: x = \frac{18}{9} [/tex]
[tex]➺ \: x = 2[/tex]
Therefore, the value of [tex]x[/tex] is 2.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x + 11 + 8x = 29[/tex]
[tex]➺ \: 2 + 11 + 8(2) = 29[/tex]
[tex]➺ \: 2 + 11 + 16 = 29[/tex]
[tex]➺ \: 29 = 29[/tex]
➺ L. H. S. = R. H. S
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]
Name the marked angle in 2 different ways.
Answer:
<XUW <WUX
<WUV <VUW
Step-by-step explanation:
Which ordered pair (a,b) is the solution to the given system?
Answer:
1,3 3,1
Step-by-step explanation:
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
A. 2
B. 3
C. 4
D. 5
Answer:
3
Step-by-step explanation:
Bailey draws a map of the zoo on a coordinate grid. The reptile house is located at (2 ,5), and the gorilla exhibit is located at (8, 3). Which point is the correct location of the reptile house?
Answer:
B. Point E
Step-by-step explanation:
Your point is (2,5) for the reptile house ((8,3) is extra unnecessary information) to find the house you go to the right 2 units and then 5 units up. The only one that matches is point E so therefore it's your answer.
answer choices:
A.) 31
B.) 41
C.) 19
D.) 35
Answer:
A
Step-by-step explanation:
If lines are parallel and intersected by another line then there are 2 alternating angles between them.
Can someone help me? It's urgent and thank you!
Answer:
1
----------
x+1
Step-by-step explanation:
2x+12
----------------
2x^2 + 14x+12
Factor
2(x+6)
-------------------
2(x^2+7x+6)
2(x+6)
--------------
2(x+6)(x+1)
Cancel like terms
1
-------------
(x+1)
Determine the numerical length of JK.
Answer:
30
So the two sectors add to the full length:
JK + IJ = IK
x+6 + 9 = 2x
Rearrange:
x=15
So the numerical length:
2x
2*15
30
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26.
Which point on the number line represents −2/3?
Point P
Point Q
Point R
Point S
Answer:
Q
Step-by-step explanation:
it is between -1 and -2 were -2/3 would be located
Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult's height (y) given the individual's mother's height (x1), his or her father's height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0). All heights are measured in inches. In this equation, the coefficient of ______ means that ______. x1; if two individuals have mothers whose heights differ by 0.32 inch, then the individuals' heights will differ by 1 inch. x1; if two individuals have mothers whose heights differ by 0.5 inch, then the individuals' heights will differ by 0.32 inch. x2; if two individuals have fathers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x2; if two individuals have mothers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x3; a brother is expected to be 5.31 inches taller than his sister
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given equation:
[tex]\to y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3[/tex]
Predicts a height [tex](y)[/tex]of adults provided the height of the mother [tex](x_1)[/tex], the height [tex](x_2)[/tex] of a father but if the person is male [tex](x_3 = 1)[/tex] or female [tex](x_3 = 0)[/tex].
The factor[tex]x_1 = 0.32[/tex] is an increase in the kid's length even as the mother increases by one inch.
Likewise, the coefficient [tex]x_2 = 0.42[/tex] was its rise in child length as just a result of the increase of one inch in dad.
The coefficient [tex]x_3 = 5.31[/tex] is an increase of a child's height cos of the male as opposed to that same female.
No Docs/No Files Only real Answer
65 points and a 5-star rated
I Will also follow back
Well, If the area of ABC is 20cm², Then the area of ABS would be 10cm² and the area of ACS would also be 10cm². You basically are just cutting the ABC in half. I hope this helps!
Answer:
a) 400
b)160,000
Step-by-step explanation:
times 20 by 20 hence 20² for a. you get 400, for b, just do 400² which gets you 160,000.
If its wrong im so sorry
Geometry math help show work pelase help Jim thanks
Answer:
p = 1.4
Step-by-step explanation:
The ratio of sides is the same
p/4.2 = 1.7/5.1
multiply both sides by 4.2
p = 1.7/5.1 * 4.2
p = 1.4
===========================================================
Explanation:
JK = LM because opposite sides of a parallelogram are the same length.
Side LM is p units long, where p is a placeholder for a number.
To determine what number replaces p, we can form the proportion shown below
BC/KL = CD/LM
Refer to the drawing below. I've circled the corresponding pieces. Note the color coding. Other equations are possible.
-----------
So,
BC/KL = CD/LM
(5.1)/(1.7) = (4.2)/p
5.1p = 1.7*4.2 ....................... cross multiply
5.1p = 7.14
p = (7.14)/(5.1)
p = 1.4
Which of the following represents the factorization of the polynomial below?
X2 +9x + 20
The factorisation of that poly is
(x+4)(x+5)
what is photosynthesis ?
what is pain ?
Answer:
photosynthesis is the process by which plants use energy from the sun in order to produce energy such as glucose. It mainly uses energy from the sun, carbon dioxide, and water to achieve this.
Pain is a warning signal produced by your body and sent to the central nervous system to tell you of a physical injury. Your body has many pain receptors that can be triggered by a myriad of things like heat or punctures.
the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.
Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities.
Pain is a distressing feeling often caused by intense or damaging stimuli. The International Association for the Study of Pain defines pain as "an unpleasant sensory and emotional experience associated with, or resembling that associated with, actual or potential tissue damage."[1] In medical diagnosis, pain is regarded as a symptom of an underlying condition.
Pain motivates the individual to withdraw from damaging situations, to protect a damaged body part while it heals, and to avoid similar experiences in the future.[2] Most pain resolves once the noxious stimulus is removed and the body has healed, but it may persist despite removal of the stimulus and apparent healing of the body. Sometimes pain arises in the absence of any detectable stimulus, damage or disease.[3]