Answers
Answer:
(-2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-x - 2y = 2
4x - 2y = -8
Step 2: Rewrite Systems
-x - 2y = 2
Multiply both sides by -1: x + 2y = -2Step 3: Redefine Systems
x + 2y = -2
4x - 2y = -8
Step 4: Solve for x
Elimination
Combine equations: 5x = -10Divide 5 on both sides: x = -2Step 5: Solve for y
Define equation: 4x - 2y = -8Substitute in x: 4(-2) - 2y = -8Multiply: -8 - 2y = -8Isolate y term: -2y = 0Isolate y: y = 0Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
[tex]-x-2y=2[/tex]
Multiply -1 in whole equation.
[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]
This is our new equations. Then we are able to eliminate y-term.
[tex]5x=-10\\x=-2[/tex]
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
[tex]-x-2y=2[/tex]
Substitute x = -2 in the equation.
[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
ANSWER THIS URGENTLY PLEASE !!!!
A company decides to drain the water heater to flush out sediments. The water heater has a capacity of 500 gallons. It drains 100 gallons in
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What are the domain and the range of this relation?
Answers
Answer:
0<x<70
0<y<500
Step-by-step explanation:
The range is the values horizontally (up to down)
The domain is the values vertically (left to right)
Answer:
0 ≤ x ≤ 70
0 ≤ y ≤ 500
Step-by-step explanation:
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Not good with factoring could use a hand.
Answers
The only factoring you need to do is already done for you:
x² + x - 12 = (x + 4) (x - 3)
What you're asked to do is decompose
(3x - 4) / (x² + x - 12)
into partial fractions, i.e. find a and b such that
(3x - 4) / (x² + x - 12) = a / (x + 4) + b / (x - 3)
Multiply both sides by x² + x - 12 :
3x - 4 = a (x - 3) + b (x + 4)
3x - 4 = (a + b) x + (-3a + 4b)
So we have
a + b = 3
-3a + 4b = -4
and solving this system gives
a = 16/7 and b = 5/7
so you should submit the numbers in bold:
(3x - 4) / (x² + x - 12) = 16 / (7 (x + 4)) + 5 / (7 (x - 3))
28=−4x+5−x−2
what is X?
Answers
Answer:
X= -5
Step-by-step explanation:
25=-5x
x=-5
Explanation:
Combine like terms (4x) -x/-1x and 5-2
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Find the 9th term of the geometric sequence 9, 27, 81,
Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
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Answers
Answer:
What is the circumference of a circle whose area is 16 π ?
A. 64 π
B. 32 π
C. 8 π
D. 4 π
Step-by-step explanation:
its 8 π cause it said it was correct
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?
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Answers
Answer:
5/4
Step-by-step explanation:
45 × ? = 10
Answer:
5/4
Step-by-step explanation:
A game lasts 7/8 hours.Charmaine played 5 of these games.
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Write your answer in simplest form.
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Answer:
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Step-by-step explanation:
Identify the type of slope and then find the slope of the line.
Answers
Answer:
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As per graph it is visible that the slope is negative, it goes down when x-value increases
Use two points to find the slope:
(-4, -1) and (0, -3)Slope formula:
m = (y2 - y1)/(x2 - x1)Value of the slope:
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A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices
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$70.00
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Answers
Answer:
the answer is 60 dollars.
====================================================
Work Shown:
x = original price
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20% of x = 0.20x = discount
x - 0.20x = 0.80x = final price
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x = 50/0.80
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The original price of the jeans was $62.50
---------------
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How would you write 6.5E4
Answers
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Or
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Answers
Given:
Point is T(-3,8).
To find:
The coordinates of T' after [tex]R(y-axis)\circ R(x-axis)[/tex].
Solution:
We know that, [tex]R(y-axis)\circ R(x-axis)[/tex] means the figure reflected across the x-axis then reflected across y-axis.
If a figure reflected across x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]T(-3,8)\to T_1(-3,-8)[/tex]
If a figure reflected across y-axis, then
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Therefore, the required point is T'(3,-8).
Use the vertical line test to determine whether the relation is a function
Answers
Answer:
7,2
Step-by-step explanation:
A bottling machine fills 100 bottles in 150 seconds. How many minutes does it take the same machine to fill 1000 bottles?
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Answer:
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Step-by-step explanation:
What does 9+10 equal?
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what is the slope of the line passing through the points (4,3) and (1,-2
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Answer:
8/5
Step-by-step explanation:
An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.
Answers
Answer:
x² + 12
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Step-by-step explanation:
Find the diagram attached.
The room can be segregated into two rectangles
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Area of the bottom rectangle = x * (x-3) = x² - 3x
Area of the top rectangle = 3* (4+x) = 12 + 3x
The area of the room = x² - 3x + 12 + 3x
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Hence the algebraic expression that the architect can use to find the area of the room is x² + 12
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The area of the room = 6² + 12
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Answers
Answer:
5cm
Step-by-step explanation:
It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.
In square ABCD, diagonal DB is drawn. If the m
Answers
9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The diagonal creates two isosceles right triangles, so ...
m∠CBD = 45°
3x +12 = 45
3x = 33 . . . . . . subtract 12
x = 11 . . . . . . . . divide by 3
5x-3 /4=2x+3
Pls help
Answers
Answer:
x=-5
Step-by-step explanation:
5x-3/4=2x+3
First, multiply by 4
5x-3=4(2x+3)
Next, distribute.
5x-3=8x+12
Subtract 5x
-3=3x+12
Subtract 12
-15=3x
x=-5
Hope this helps :D
You do reseprocal/cross multiplication
5x-3=4(2x+3)
5x-3=8x+12
5x-8x=12+3
-3x=15
x=15/-3
x=-5
What is the equation of the line that passes through the point (-5, 7) and has a slope of -2/5?
Answers
Answer:
I hope that it will be help full for u
Step-by-step explanation:
As we know the equation of line is ,
y= mx+ cAs given
slope=m=-2/5
also given (x, y)= (-5, 7)
we get x=-5 , y=7
putt in the equation of line all these values we get ,
7=(-2/5)(-5) +c
c=7-2
c=5 now putt the value of c and m in equation of line we will get ,required equation of line
y = (-2/5)x + 5 Ans
Using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.
What is slope intercept form?
The equation of the "straight line is in the form y = mx + b where 'm' is the slope of the line, 'b' is the y - intercept form" is called slope intercept form.
According to the question,
The line passes through the point (-5,7) and has slope of -2/5,
The equation of the straight line y = m x + c. Substitute (-5,7) and slope -2/5 in general equation we have 7 = -2/5 (-5) + c
7 = 2 + c
c = 7-2
c = 5
Hence, using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.
Learn more about slope intercept form here
https://brainly.com/question/12425007
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