X-36+12x=224 due 15 min ago
Answers
Answer:
x = 20
Step-by-step explanation:
Starting equation: x - 36 + 12x = 224
Reorder: 12x + x (as there is no negative sign in front of the x) - 36 = 224
Add common terms: 13x - 36 = 224
Subtract (in this case add) common term to isolate variable: 13x + 36 = 224 + 36
Isolate variable by dividing both sides by 13: 13x = 260
Solve: x = 20
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What is the value of n so that the expression x^2 + 11x + n is a perfect trinomial?a) 11 b) 25 c) 30.25 d) 36
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Answers
So the weight of the 8% tin will be: (40 - x), since the total weight is 40 lbs
Using the mixture formula:
w1*p1 + w2*p2 = w*p
Where w1 = weight of the first percentage, p1 = First Percentage
w2 = weight of the second percentage, p2 = Second Percentage
w = Final weight, p1 = Final Percentage
0.15*x + 0.08(40 - x) = 40*0.1
0.15x + 3.2 - 0.08x = 4
0.15x - 0.08x = 4 - 3.2
0.07x = 0.8
x = 0.8/0.07
x ≈ 11.429
Recall the 15% was made with x, which is ≈ 11.429
Recall the 8% was made with (40-x) ≈ (40 - 11.429) ≈ 28.571
So the 10% tin of the 40 lbs was made with ≈11.4 lbs of the 15% tin and ≈28.6 lbs of the 8% tin
y=8% alloy
x+y=40
y=40-x
0.15x+0.08y=40*0.10
0.15x+0.08(40-x)=40*0.1
times 100 both sides for easy
15x+8(40-x)=400
15x+320-8x=400
7x+320=400
minus 320 from both sides
7x=80
divide both sides by 7
x=80/7
x+y=40
80/7+y=280/7
y=200/7
aprox
x=11.4lb
y=28.6lb
11.4lb of 15%
28.6lb of the 8%
what????
Answers
- 12x - 9 = 0
B. 4 + 12x + 9 = 0
C. 4 - 6x - 9 = 0
C. 4 + 6x + 9 = 0
(Please show how you get the answer)
Answers
The equation 4x² + 12x + 9 = 0 has exactly one solution. The correct answer would be an option (C).
What is a quadratic function?
The quadratic function is defined as a function containing the highest power of a variable is two.
The solutions to a quadratic equation are found using the quadratic formula, which is:
x = (-b ± √(b² - 4ac)) / 2a
As per option (C),
4x² + 12x + 9 = 0
Compare the given function to the standard quadratic function f(x) = ax² + b x + c.
We get a = 4, b = 12, and c = 9.
The discriminant of the equation,
b² - 4ac = (12)² - 4×4(9) = 144 - 144 = 0
Since the discriminant is zero, this means the equation has only one solution.
Therefore, the equation 4x² + 12x + 9 = 0 has exactly one solution.
Hence, the correct answer would be option (C).
Learn more about the quadratic function here:
#SPJ2
quadratic formula: (-b(+or-)√(b^2-(4ac)))/2a.
You find that the equation 4x²+12x+9=0 only has the root of x=-1.5.
Since the solution is where the parabola crosses the x-axis, you can also figure out which equation has only one solution by whether or not the axis of symmetry lands is a solution or not. If the axis of symmetry is a solution, the function only has one solution (that being the vertex). If the axis of symmetry is not a solution, the function has to have either two or no roots. You can find the axis of symmetry by using the equation x=-b/2a. Using that equation you can find that the equation 4x²+12x+9 has the axis of symmetry being at x=-1.5 which means that the vertex is (-1.5,0). Since the equation 4x²+12x+9 has its vertex at (-1.5,0) and the vertex is the lowest or highest point of the function, that function only has one x-intercept meaning it only has 1 solution.
I hope this helps. Let me know in the comments if anything is unclear.
Answers
The value of x in the equation a – bx = cx + d is = a - d / c + b
The value of x in the equation 5 – 6x = 8x + 17 is - 6 / 7
a - bx = cx + d
add bx to both sides of the equation
a - bx + bx = cx + bx + d
a = cx + bx + d
subtract d form both sides of the equation
a - d = cx + bx + d - d
a - d = cx + bx
Distributive law:
using distributive law on the right side of the equation
a - d = x (c + b)
divide both sides by (c + b)
Therefore,
x = a - d / c + b
Let's use the same method to solve 5 – 6x = 8x + 17
5 – 6x = 8x + 17
add 6x to both sides
5 – 6x + 6x= 8x + 6x + 17
5 = 14x + 17
subtract 17 from both sides
5 - 17 = 14x + 17 - 17
-12 = 14x
divide both sides by 14
x = -12 / 14
x = - 6 / 7
learn more on equations here: brainly.com/question/7838122
Answers
Answer:
4:14, 6:21, 8:28
Step-by-step explanation:
Answer:
4:14, 6:21, 8:28, 10:35, 12:42, 14:49, 16:56, 18:63, 20:70, etc
Step-by-step explanation:
Answers
Answer:
Length = 49 feet
Step-by-step explanation:
Since 35/5 is equal to 7, that means for every inch on the drawing it represents 7 feet. So you could multiply 7(7) to get the actual length.