Answer:
(- 6, 0 )
Step-by-step explanation:
x = -2y - 6 → (1)
- 3x - 7y = 18 → (2)
substitute x = - 2y - 6 into (2)
- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side
6y + 18 - 7y = 18
- y + 18 = 18 ( subtract 18 from both sides )
- y = 0 , then
y = 0
substitute y = 0 into (1)
x = - 2(0) - 6 = 0 - 6 = - 6
solution is (- 6, 0 )
Second binomial formula
(a - b)^2 = a^2 - 2ab + b^2
(3x - 4)^2 = (3x)^2 - 2 × 3x × (-4) + (-4)^2
=9x^2 + 24x - 16
Answer: There are no real solutions.
Step-by-step explanation:
We have the equation:
x = y^2
y = x + 3/2
To solve this, we can start by noticing that x is already isolated in the first equation, then we can replace it in the second equation to get:
y = y^2 + 3/2
And now we can rewrite this as:
y^2 - y + 3/2 = 0
This is a quadratic equation, and the solutions can be calculated with Bhaskara's equation, the solutions are:

We have a negative number inside the square root, this means that the solutions are complex numbers.
Then we can conclude that the system of equations has no real solutions.
Answer:
Step-by-step explanation:
The null and the alternative hypothesis are:

The test statistics is as follows:



t = 2.3094
The critical value

Decision rule:
To reject
if t >
.
So since t >
. we reject
at ∝ = 0.05
Conclusion: There is sufficient evidence to conclude that blood pressure and patient calcium are linearly related.
The answer is 12cm because area (420) divided bye height (35) gives you the corresponding side 12cm.