By graphing the given points, we will get the attached figure
which represents:
f(x) = 3 sin x
but sin x = cos (x - π/2)
∴ f(x) = 3 cos ( x - π/2 )
The correct choice is option ⇒⇒⇒ <span>f(x) = 3 cos(x − pi over 2 )
</span>
30 pints of first type and 130 pints of second type drinks must be used to make the mixture.
<em><u>Explanation</u></em>
Lets assume, the amount of first type drink is 
pints.
As the total amount of the mixture is 160 pints, so the amount of second type drink 
pints.
The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....
So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.
Hi there!
The question gives us the quadratic equation , and it tells us to solve it using the quadratic formula, which goes as . However, we must first find the values of a, b, and c. The official quadratic equation goes as , which matches the format of the given quadratic equation. Hence, the value of a would be 1, the value of b would be 5, and the value of c would be 3. Now, just plug it back into the quadratic equation and simplify to get the zeros of the equation.
x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}
x = \frac{-(5) \pm \sqrt{(5)^2 - 4(1)(3)} }{2(1)}
x = \frac{-5 \pm \sqrt{25 - 12} }{2}
x = \frac{-5 \pm \sqrt{13} }{2}
x = \frac{-5 \pm 3.61 }{2}
x = \frac{-5 + 3.61 }{2}, x = \frac{-5 - 3.61 }{2}
x=-0.695 \ \textgreater \ \ \textgreater \ -0.7, x= -4.305 \ \textgreater \ \ \textgreater \ x=-4.31
Therefore, the solutions to the quadratic equation are x = -0.7 and x = -4.31. Hope this helped and have a phenomenal day!
Your answer is 4.31
Answer:
Your input -2.9,-5.0,-7.1,-9.2,-11.3,-13.4,-15.5,-17.6 appears to be an arithmetic sequence
Step-by-step explanation:
Answer:
Step-by-step explanation:
