Answer: A. (4,6)
Step-by-step explanation: 2(6y−4x = 20) 3(−4y+3x = −12) −8x+12y = 40 9x−12y = −36 -8x+9x +12y-12y 40-36 x=4 6y−4x = 20 6y−(4)(4) = 20 6y−16+16 = 20+16 6y/6 = 36/6 y = 6 x = 4, and y = 6.
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
The given system of equations are 6y-4x=20 and -4y+3x=-12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)
Multiply equation (I) by 3, we get
-12x+18y=60 ----------(III)
Multiply equation (II) by 4, we get
12x-16y=-48 ----------(IV)
Add equation (III) and (IV), that is
-12x+18y+(12x-16y)=60-48
⇒ 2y=12
⇒ y=6
So, 6y-4x=20
⇒ 36-4x=20
⇒ -4x=-16
⇒ x=4
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
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Johan has recorded 32 show usings his cable television service. Each week, he records 6 new shows.
Write an expression to show the total number of shows Johan has recorded after w week.
Answer:
32+6w=x
Step-by-step explanation:
Johan already has the 32
he is adding 6 every week which gives you the total-x
if it was two weeks, 32+6(2)= 32+12=44
7. Paul has 49 cups of water. Is this enough water to make 25 batches of green slime for a class project? Explain.
What is the result when this equation is solved for y?
4x²+10x-2y=6
Answer:
B. y = 2x² + 5x - 3
Step-by-step explanation:
[tex]4x^2+10x-2y=6\\\\4x^2+10x-2y-4x^2-10x=6-4x^2-10x\\\\-2y=-4x^2-10x+6\\\\\frac{-2y}{-2}=\frac{-4x^2-10x+6}{-2}\\\\y=2x^2+5x-3[/tex]
The result when the equation is solved for y is y = 2x² + 5x - 3.
To solve the equation 4x² + 10x - 2y = 6 for y, follow these steps:
Step 1: Move all terms containing y to one side of the equation:
4x² + 10x - 6 = 2y
Step 2: Divide both sides of the equation by 2 to isolate y:
(4x² + 10x - 6) / 2 = y
Step 3: Simplify the right side of the equation:
y = 2x² + 5x - 3
So, the result when the equation is solved for y is y = 2x² + 5x - 3.
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In a factory, 53 workers receive a wage of 7,576 each per month. Find the total wages received by all the workers for one financial year. Also, find the annual wage of 1 worker.
Step-by-step explanation:
as you know, there are 12 months per year.
also, the word "annual" means "per year" (of again 12 months).
each worker gets 7,576 per month.
that means each worker gets an annual salary of
7,576 × 12 = 90,912
the salaries/wages of all 53 workers together in a year are then
90,912 × 53 = 4,818,336
How to do multiplication with decimals.
Answer: just line up the decimals.
Step-by-step explanation:
is there a specific question I can help you with?
please help asap…………
Answer: linear
Step-by-step explanation:
Order the given rational numbers from least to greatest:
-4 1/4
3.3
3 1/3
-4 1/4
-3
Answer:
-4 1/4
-4 1/4
-3 1/3
-3.3
3
Step-by-step explanation:
i need help on this last question
m = – 3; (2, 2) help pls
Answer:
try maltpling 3 *2*2
Step-by-step explanation:
Select the correct answer.
The difference of half a number and its reciprocal is represented by this expression.
Which expression also represents the difference?
Answer:
b
Step-by-step explanation:
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The expression which shows the difference is (n² - 2)/2n, the correct option is B.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The difference of half a number and its reciprocal is represented by this expression.
(n/2) - (1/n)
On solving
(n² - 2)/2n
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Reduce 36 to simplest form?
Answer:
[tex]2^{2} *3^{2}[/tex]
Step-by-step explanation:
You would have to prime factorize the number.
36=4x9
4=2x2
9=3x3
36=2x2x3x3
Answer:
36 reduced into simplest form is 12.
Step-by-step explanation:
12 is the simplest form of 36 because it has the smallest numerator and denominator possible to represent that amount.
Solve the slope for the table.
Answer:
5
Step-by-step explanation:
Change in Y / Change in X = Slope
5/1 = 5
Find the inverse (pre-calc)
Answer:
f^(-1)(x) = e^(x/3)
Step-by-step explanation:
1. Replace 'f(x)' by 'y:' y = 3ln x
2. Interchange x and y: x = 3ln y => x/3 = ln y
3. Solve for y:
e^(x/3) = y
4. Replace this 'y' with 'f^(-1)(x)'
Then f^(-1)(x) = e^(x/3)
16+4(q+11)+10q
simpaly
Answer:
14q + 60
............................
Given numbers 2 ,5,11, 4.5, 1/10, V3 then
a. Write two prime numbers from the above.
b- An integer root 121
c- A number 25 % of 18
d- An irrational number
Answer:
a. pick two between 2,5 or 11, they are all primes.
b. it's 11 since
[tex]11 {}^{2} = 121[/tex]
c. that's
[tex]18 \times \frac{25}{100} = 4.5[/tex]
(or think about it as half the half of 18, so half of 9)
d.
[tex] \sqrt{3} [/tex]
Rest can be written as a fraction
Hi! I'm 12 years old trying to move up in maths, does anyone have any tips about any one of these topics?
- Bearings
- Number scales
-Ratios
-Proportionally calculating quantities to recipes (??)
-Averages
-Times tables in general
Thank you so much if you decide to answer this!! Im trying to become a barrister when im older:)
Answer:
For number remember that the negative number are smaller, but if it question like this which one is bigger -5 or -6 will -5 will be the answer because it is not smaller than -6. For ratios just remember divide or number of something like there are 3 to 8 child in the classroom then thee ratios would be 3:8. Lastly for the times tables learn all of your times tables like your favorite game, so things will be easier on you.
Do number 6. This is not a quiz
Answer:
C
Step-by-step explanation:
B . -A . -b . -b . +a . +b . +c
b + b -b -b +a -a +c
c
1 gal = ____ pt
A) 8.085 pt
B) 8.85 pt
C) 88.5 pt
D) 0.8085 pt
eh?
Answer:
1 gal = ____ pt
A) 8.085 ptlelz XD
The data for the distance d, in miles, remaining for a train to travel to its destination t hours after it departs a station are
shown in the scatter plot. Which of the following functions best fits the data?
Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300
According to the general form of a linear regression equation :
y = bx + c b = slope ; c = interceptSlope, b = (Δy ÷ Δx)
Slope = (200 - 50) ÷ (2 - 5)
Slope = 150 ÷ -3 = -50
Intercept is the point where the regression line crosses the y - axis.
From the graph, the intercept = 300
Hence, the regression equation is y = -50t + 300
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Someone please answer this, I’ll give you brainliest and 50 points!
Answer:
3
Step-by-step explanation:
Answer:
Answer 2
Step-by-step explanation:
2/7 x (-7/9) xdx lel'jobrfjb13rgifj2noinf ehelp
Definition: The points where a graph intersects the x-axis are called it’s __.
Answer:
zeroes or x-intercepts
Step-by-step explanation:
please full calculation
Geometry problem, Name the angle pair relationship and then determine which lines must be parallel based on the angles given If they do not prove lines parallel, write none.
Answer:
see below
Step-by-step explanation:
a) 1 = 4 they are corresponding angles when j and k are parallel
b) 3 + 4 = 180 these just lies on same straight line and they add up to 180 so none
c) 5 + 7 = 180 are consecutive interior angles when k and l are parallel
d) 6 = 7 they are alternate interior angles when k and l are parallel
and refer this link for theory on this topic
https://www.ixl.com/math/lessons/transversals-of-parallel-lines
Anything number raised to the zero power is
Answer:
It is equal to 1 when raised to the zero power.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Any number raised to the zero power equals 1. This is by definition to make the rules of exponents work.
Look at this example:
Any number (except zero) divided by itself equals 1.
For example, 25/25 = 1,
but 25 = 5²,
so 25/25 = 5²/5²
The rule of dividing two powers with the same base is to use the same base and subtract the powers.
5²/5² = 5^(2 - 2) = 5^0
By the rule of exponents, 5²/5² = 5^0,
but we saw above that 5²/5² = 25/25 = 1, so
5^0 must equal 1.
This led to the following definition of zero exponent.
Definition:
For any number a, a^0 = 1.
Need help with this pls asap
What is the value of the 9 in the number 567.09?
Answer:
After the decimal point (left to right) are the tenths, hundredths, thousandths, ten-thousandths, and so on. The value of the 9 would be 9 hundredths.
:)
The value of a baseball card can be represented by the equation y=3x+39,where x represents the number of years that Robert has owned the card and y represents the total value,in dollars,of the card.What was the value of the card when Robert originally purchased it?
Answer:
Im pretty sure it's $39
Step-by-step explanation:
if x=0 it cancels out leaving y=39
HELPMEPLZZ.
Figure ABCD is transformed to obtain figure A'B'CD Part A Write the sequence of transformations that changes figure ABCD to figure A'B'C'D' Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) Part B: Are the two figures congruent? Explain your answer (4 points)
Answer: yes because they both go to the 0 and has the same shape.
Step-by-step explanation: yes
a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote
Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
The function is given by:
[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
The horizontal asymptote is the limit of the function as x goes to infinity, hence:
[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
Considering only the terms with the highest exponents:
[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]
Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999