What is the solution for the system below?
y = 5x - 9
y = x + 3
ANSWER : x = 3 and y = 6
DISCUSSIONThe method of elimination is a method by which one of the variables is eliminated so that the remaining variables are subsequently searched for the satisfactory value.
Is knownEquation 1 : y = 5x - 9
Equation 2 : y = x + 3
Askedx?
y?
AnsweredEquation 1
y = 5x - 9
- 5x + y = - 9
5x - y = 9
Equation 2
y = x + 3
- x + y = 3
Elimination Equation 1 dan 2
5x - y = 9
- x + y = 3
--------------- +
4x = 12
x = 3
Obtained x = 3
Substitute x = 3 to equation 2
- x + y = 3
- ( 3 ) + y = 3
- 3 + y = 3
y = 3 + 3
y = 6
PROOF IF x = 3 and y = 6
5x - y = 9
5 ( 3 ) - ( 6 )
15 - 6 = 9
Conclusionso the x and y values for the system are
x = 3 and y = 6
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DETAIL ANSWERGrade : 8th
Course : Mathematics
CHAPTER : Variable Equation 2
Code : 8.2.5
Which expression can be used to find 3 x 2,354
A. (3 x 2,000) = 354
B. (3 x 2,000) + (3 x 300) + 54
C. (3 x 2,000) + (3 x 300) + (3 x 50) + (3 x 4)
D. (3 x 2,000) + (300 + 50 + 4)
the graph shows the cost of some taxi journeys. work out a formula for C in terms of n.
Given:
The graph of cost of taxi with respect to number of miles.
To find:
The formula for C in terms of n.
Solution:
In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).
From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]
[tex]y-3=\dfrac{3}{5}(x)[/tex]
Adding 3 on both sides, we get
[tex]y=\dfrac{3}{5}x+3[/tex]
Putting y=C and x=n, we get
[tex]C=\dfrac{3}{5}n+3[/tex]
Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].
Answer:
c=3/5n+3
Step-by-step explanation:
Can someone please simplify this expression?
8.6f + 9.2 - 7.2 - 7.2f
Answer:
Step-by-step explanation:
8.6f-7.2f+9.2-7.2=1.4f+2=2(0.7f+1)
Factor completely 3x^2+y
A.) x(3x+y)
B.) y(3x^2)
C.) xy(3x+1)
D.) prime
Answer:
Non of the above
Step-by-step explanation:
[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]
Answer:
D. Prime
I just took the test
Step-by-step explanation:
How long is the light beam from the top of the lighthouse to the ground? Round to the nearest tenth. The light house is 25m tall and a boat is 180m from the base
Answer:
181.7m
Step-by-step explanation:
The set up is a right angled triangle with;
Height of the light house = 25m = opposite side
The distance of the boat from the base = 180m = Adjacent
The distance of the light beam from the house = Hypotenuse = x
Using pythagoras theorem;
x² = 25²+180²
x² = 625+32400
x² = 33025
x = √33,025
x = 181.7m
Hence distance of the light beam from the top of the lighthouse to the ground is 181.7m to the nearest tenth
What is the simplified expression for (screenshot)
A. 3/4
B. 4/3
C. 4²/3
D. 3³/4
Answer:
B. 4/3
Step-by-step explanation:
[tex] \frac{ {4}^{ - 3} . {3}^{4} . {4}^{2} }{ {3}^{5} . {4}^{ - 2} } \\ \\ = \frac{ {4}^{ - 3} . {4}^{2 + 2} }{ {3}^{5 - 4}} \\ \\ = \frac{ {4}^{ - 3} . {4}^{4} }{ {3}^{1}} \\ \\ = \frac{ {4}^{4 - 3} }{ {3}^{1}} \\ \\ = \frac{ {4}^{1} }{ {3}^{1}} \\ \\ = \frac{4}{3} [/tex]
Answer:
B. 4/3
Step-by-step explanation:
(4^-3 . 3^4 . 4^2)/(3^5 . 4^-2)
4^-3 . 4^2/ 4^-2 . 3^4/ 3^5
4^(-3+2-(-2)) . 3^(4-5)
4^1 . 3^-1
4 . 1/3 = 4/3
Bianca uses an overhead projector to explain a new concept to her students. The width of the projected image was 24 feet. The width of the original image was 120 inches . Find the scale factor used to enlarge the image .
Answer: 10% of 65.9
Step-by-step explanation:
5(4x+8). Answer this questions I already know the answer. Since winter break is over. Tell me what you got for Christmas. Also, Happy New Years
Answer:
20x + 40
Step-by-step explanation:
5(4x + 8)
20x + 40
Happy Holidays! For Christmas, I got something... what was it again? Hmm I think it was a pair of earbuds :D
Well on Christmas I just made chocolates and ate them-
As for New Years, Happy New Year! :D
Answer: I got a kitty headphones, and this games board and also a letter of my name :)
Step-by-step explanation:
Fill in the information in the table. The first is done for you
Answer:
≥ closed dot
< open dot
≤ less than or equal to closed dot
There are the missing blanks
Which point represents the quotient of StartFraction 4 + 3 I Over negative I EndFraction ? A B C D
Answer:
in my knowledge
option A...
Step-by-step explanation:
....
...
...
..
Answer:
B
Step-by-step explanation:
Which product is represented by the model? A hundred grid model shows 5 columns shaded and 4 rows shaded. The intersecting area is an array that is 5 by 4. A. 0 . 05 × 0 . 04 = 0 . 002 B. 5 × 0 . 4 = 2 C. 0 . 5 × 0 . 4 = 0 . 2 D. 0 . 5 × 0 . 04 = 0 . 02
Answer:
0.05 x 0.04 = 0.002
Step-by-step explanation:
Given:
5 column (hundred grid) = 5/100 = 0.05
4 row (hundred grid) = 4/100 = 0.04
Find:
Area equation
Computation:
Area equation = 0.05 x 0.04
0.05 x 0.04 = 0.002
Simplify the expression:
5.1 + 8.8t - 2.2t + 7.4t
Answer:
14t + 5.1
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
5.1 + 8.8t - 2.2t + 7.4t
Step 2: Simplify
Combine like terms (t): 14t + 5.1Solve asap: 3(2y+10)=54
Within 10 mins pls
8th grade
Answer:
y = 4
Step-by-step explanation:
6y + 30 = 54
subtract 30 from each side
6y = 24
divide each side by 6
y = 4
Answer:
y=4
Step-by-step explanation:
3(2y+10)=54
6y+30=54
-30 -30
6y=24
/6 /6
y=4
what is the unit rate for the cost of pizzas
What are the coordinates of D’ when the quadrilateral is reflected across the line y = x?
On a coordinate plane, quadrilateral A B C D has points (1, 2), (2, 4), (4, 3), (3, 1).
(1, 3)
(2, 4)
(3, 4)
(1, 1)
Answer:
(1, 3)
Step-by-step explanation:
If quadrilateral ABCD is reflected across the line y = x, then the x- and y-coordinates get reversed. Since the coordinates of point D are (3, 1), then the coordinates of point D' are (1, 3).
Answer:
its a its aaaa itsssssssssssssssssssssss aaaaaaaa sorry im just in a good mood
Step-by-step explanation:
7th grade math plss helpp
Answer:
2x-2=-4
5/8x3/5= 15/40 then u simplify and get -4 3/8
Answer:
a
Step-by-step explanation:
write 0.414141414141 as a fraction?
Answer:
The fraction is 41/99.
Step-by-step explanation:
The steps are :
[tex]let \: x \: be \: fraction,[/tex]
[tex]x = 0.414141.....[/tex]
[tex]100x = 41.414141.....[/tex]
[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]
[tex]99x = 41[/tex]
[tex]x = \frac{41}{99} [/tex]
If p(x)= x^2 - 2root2x + 1, then p(3root2)= ?
Answer:
19 - 2^(7/4)√3 or
13.174 to nearest thousandth.
Step-by-step explanation:
I am interpreting this as x^2 - 2√(2x) + 1
p(3√2) = (3√2)^2 - 2√(2*3√2) + 1
= 18 - 2√(6√2) + 1
= 19 - 2* √6 * 2^1/4
= 19 - 2*√2*√3*2^1/4
= 19 - 2^(7/4)√3.
= 13.174 to the nearest thousandth.
one number is three times another, and four times the smaller added to five times the greater amounts to 133; find them
Step-by-step explanation:
S=smaller number; L=larger number=3S
.
4S+5L=133
4S+5(3S)=133
4S+15S=133
19S=133
S=7 ANSWER 1: The smaller number is 7.
.
L=3S=3(7)=21 ANSWER 2: The larger number is 21.
.
CHECK:
4S+5L=133
4(7)+5(21)=133
28+105=133
133=133
fill the blanks please
Answer:
1) 4
2) 2
3) 5
4) 8
Step-by-step explanation:
All you have to do in this question is to substitute what they are telling you.
First blank:
They told us that m is 0 so if we plug that into the equation we can get s.
[tex]2m+4s=16\\2(0)+4s=16\\4s=16\\s=4[/tex]
In this one if m is 0, s will have to be 4.
Second blank:
They told us that s is 3 so if we plug in that into the equation we can get m.
[tex]2m+4s=16\\2m+4(3)=16\\2m+12=16\\2m=4\\m=2[/tex]
In this one if s is 3, m will have to be 2.
Third blank:
They told us that m is -2 so if we plug that into the equation we can get s.
[tex]2m+4s=16\\2(-2)+4s=16\\-4+4s=16\\4s=20\\s=5[/tex]
In this one if m is -2, s will be 5.
Fourth blank:
They told us that s is 0 so if we plug into the equation we can get m.
[tex]2m+4s=16\\2m+4(0)=16\\2m=16\\m=8[/tex]
In this one if s is 0, then m will be 8.
A statistical procedure that estimated regression equation coefficients that produce the lowest sum of squared differences between the actual and predicted values of the dependent variable is called .
Answer:
Ordinary least squares
Step-by-step explanation:
The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares
Therefore the above represent the answer
Divide and simplify
ax + ay + bx + by/
x+y
Answer:
a + b
Step-by-step explanation:
ax + ay + bx + by
a(x +y) +b(x + y)
(a + b) ( x + y)
therefore (a + b) ( x + y) divide x+y
x + y is canceled out both in the denominator and numerator
= a+b
Answer:
a + b
Step-by-step explanation:
what is the distance of KF. round to the nearest tenths
Answer:
its 9.2
Step-by-step explanation:
Well i counted 7 units (x-axis) and 6 units (y axis). 6 squared is 36 and 7 squared is 49. Add them together and get 85. Square root 85 and youll get 9.21954445729. Round it to the nearest tenths and get 9.2
Hi guys im quite confused here because my teacher talked too fast, can someone help me find out how did 4 turned into 64. heres my problem in the attachment.
Simplify: x^2y-5 * x^y+8
2637737272828288 x 27277272782728282 =?
Answer:
21
Step-by-step explanation:
Sorry I had too
What is the least common multiple of 12 and 22
Please help me
Answer:
Least common multiple (LCM) of 12 and 22 is 132
Step-by-step explanation:
Give the equation of a line that is perpendicular to
f(x)= 3x+1 and goes through the point (0, -6).
Answer: -1/3x - 6
Step-by-step explanation: perpendicular lines have opposite reciprocal slopes
original slope of 3 —-> -1/3
then our point is (0, -6) let’s plug that into y=-1/3x+b
-6 = -1/3(0)+b
b= -6
put it all together: y = -1/3x -6
Melanie has a ribbon that is 18 inches long. She cut the ribbon into 3 equal pieces. Then she cut each of those pieces in half. How many small pieces of ribbon are there? how long is each pieces
Answer:
I guess there are 6 small pieces but dont know how long they are sry
Answer:
12 small piece of ribbon, each 3/2 inches long
Step-by-step explanation:
one 18" long ribbon divided into 3 equal pieces will produce three 6 inch ribbons
three 6" ribbons, each one cut in half (or divided by 2), equals 12 pieces
each one being 18/12 inches long; which reduces to 3/2
What is the solution set of {x | x 5}?
1. the empty set
2. all real numbers
3. the numbers between -5 and 5
4. all numbers less than -5 and greater than 5
Answer:
3. the numbers between -5 and 5
Step-by-step explanation:
Let set A= [tex]\{x| x>-5\}[/tex] and set [tex]B=\{x | x<5\}[/tex].
The solution set of A and B is the solution set of A∩B
The solution set of A is all the real number x which is greater than -5.
The solution set of B is all the real number x which is less than 5.
Therefore, the solution set of A∩B is all the real numbers between -5 and 5.
Hence, option (3) is correct.