Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:
Write the augmented matrix for the system of equations
Find the reduced row-echelon form of the augmented matrix for the system of equations:
Thus, the system of three equations is
From the last equation:
Substitute it into the second equation:
Substitute y = -6 and z = -3 into the first equation:
25 lb > 384 oz because 25 pounds is 400 ounces.
Answer:
Odd function
Step-by-step explanation:
So to see if a function is odd or even we need to plug in a negative x for x, so f(-x)=4(-x)^3-5(-x). This produces -4x^3+5x, which is the exact opposite of the original equation, so it is an odd function. If it were even, then the signs of the coefficients would be the same as the original function.
Answer:
√2 + x
Step-by-step explanation:
To obtain the hypotenus, h:
Using Pythagoras rule :
h² = opposite² + Adjacent²
Opposite = √2
Adjacent= x
h² = (√2)² + x²
Take the square root of both sides
h = √2 + x
Hence, the hypotenus is √2 + x
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-(1 + 7x) - 6(-7 - x) = 36
Step 2: Solve for <em>x</em>
- Distribute: -1 - 7x + 42 + 6x = 36
- Combine like terms: -x + 41 = 36
- Subtract 41 on both sides: -x = -5
- Divide both sides: x = 5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-(1 + 7(5)) - 6(-7 - 5) = 36
-(1 + 35) - 6(-12) = 36
-(36) + 72 = 36
-36 + 72 = 36
36 = 36