Answer:
<h3>No, they are not equivalent</h3>
Step-by-step explanation:
Are the following systems equivalent? How do you know?
For the equation;
2x+y= -4 ... 1
7x+7y=0 ... 2
Let us find the solution of the equation;
From 1;
y = 4 - 2x
Susbtitutw into 2;
7x + 7(4-2x) = 0
7x + 28 - 14x = 0
-7x + 28 = 0
7x = 28
x = 28/7
x = 4
Recall that y = 4-2x
y = 4 - 2(4)
y = 4 - 8
y = -4
The solution is (4, -4)
For the other equations;
5x+6y= 4 ... 1 * 1
4x+2y= -4 ..... 2 * 3
___________________
5x+6y= 4
12x+6y= -12
Subtract
5x-12x = 4 + 12
-7x = 16
x = -16/7
Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.
Answer:
The number is 7.
Step-by-step explanation:
The unknown number: x
9 (x + 7) = 126
Using the distributive property, 9x + 63 = 126
9x = 63
x = 7
Answer:
- d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers
Step-by-step explanation:
- (f(x))(g(x)) =
- (x²- 4)*(x-2) =x³ - 2x² - 4x + 8
<u>Choice d. is correct </u>
- a.(f(x))(g(x)) = x + 2; x ≠ 2
- incorrect
- b.(f(x))(g(x)) = x + 2; all real numbers
- incorrect
- c.(f(x))(g(x)) = x3 – 2x2 – 4x + 8; x ≠ 2
- incorrect
- d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers
- correct
If you need the number in fractional form after rounding to the nearest hundredth, put the decimal part over 100 and simplify. For example, turningpi into a fraction, start with 3.14. Rewrite as 3 and 14/100. Simplify to 3 and 7/50.
Hope This Helped! ^^
