Answer:
x = 7/3
Step-by-step explanation:
<u>Given equation:</u>
To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.
- ⇒ –9x² + 49 - 49 = 0 - 49
- ⇒ –9x² = -49
We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.
- ⇒ –9x² = -49
- ⇒ -9x²/-1 = -49/-1
- ⇒ 9x² = 49
Clearly, we can see that 9x² and 49 are perfect squares. Therefore,
Take square root both sides of the equation:
To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation
Therefore, the value of "x" must be 7/3.
2*a+5-(9*a-16)=0 witch equals <span> a=3</span>
Answer: Um, the value of x and y is x=–7, y=–1, I’m not sure my answer is going to be wrong or right, please tell me the correct answer.
Step-by-step explanation:
Answer:
The number of mosquitoes is maximum for 6.5 inches rainfall.
Step-by-step explanation:
The given function is
.... (1)
where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.
We need to find the rainfall that produces the maximum number of mosquitoes.
Differential the above function with respect to x.
.... (2)
Equate first derivative equal to 0.
Differential function (2) with respect to x.
Double derivative is negative. So, the value of function is maximum at x=6.5.
Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.
Answer:
Step-by-step explanation:
Use FOIL method
1) (x +4 )(3x +2) = x*3x + x*2 + 4*3x + 4*2
= 3x² + 2x + 12x + 8
= 3x² + 14x + 8
4) (4x - 1) (2x + 7) = 4x*2x + 4x*7 + (-1)*2x + (-1) * 7
= 8x² + 28x - 2x - 7
= 8x² + 26x - 7
