Answer:
-23
Step-by-step explanation: You have to combine like terms first:
-3.8x -5.9x =223.1
-9.7x = 223.1
Then divide om each side of the equation by -9.7.
-9.7x/-9.7 = 223.1/-9.7
x =- 23
Answer:
Step-by-step explanation:
550 48 6-0 3/16 3/16 800
1000 48 10-10 3/16 3/16 1300
1100 48 11-11 3/16 3/16 1400
1500 48 15-8 3/16 3/16 1650
65 9-0 3/16 3/16 1500
2000 65 11-10 3/16 3/16 2050
2500 65 14-10 3/16 3/16 2275
3000 65 17-8 3/16 3/16 2940
4000 65 23-8 3/16 3/16 3600
5000 72 23-8 1/4 1/4 5800
84 17-8 1/4 1/4 5400
7500 84 26-6 1/4 1/4 7150
96 19-8 1/4 1/4 6400
10000 96 26-6 1/4 5/16 8540
120 17-0 1/4 5/16 8100
12000 96 31-6 1/4 5/16 10500
120 20-8 1/4 5/16 9500
15000 108 31-6 5/16 5/16 13300
120 25-6 5/16 5/16 12150
20000 120 34-6 5/16 5/16 15500
25000 120 42-6 3/8 3/8 22300
30000 120 51-3 3/8 3/8 28000
Start off by distributing the numbers into the parentheses:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13
(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)
-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
-16x = -16x
0 = 0
There is an infinite number of solutions in this equation.
(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
The only error you made is on problem 3. Everything else is correct. Nice work.
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Here is how to solve problem 3
Plug x = 1 into the equation and solve for y
-3x + y = 1
-3*1 + y = 1 ... replace x with 1
-3 + y = 1
y - 3 = 1
y - 3 + 3 = 1 + 3 .... add 3 to both sides
y = 4
<h3>The answer is 4</h3>
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Verifying the answer:
Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.
-3x + y = 1
-3*1 + 4 = 1 ..... replace x with 1; replace y with 4
-3 + 4 = 1
1 = 1
The answer is confirmed.
If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.
F(x)=a(x-x1)(x-x2)
F(x)=a(x- - 6)(x- -2)
F(x)=a(x+6)(x+2)
-6=a(-3+6)(-3+2)
-6=a(3)(-1)
-6=-3a
2=a
Equation: f(x)=2(x+6)(x+2)
