Answer:
dy/dx = d/dx sin(x-3/x+2)
dy/dx = cos(x-3/x+2) . d/dx (x-3/x+2)
dy/dx = cos(x-3/x+2) . (x + 2 - x + 3)/(x+2)²
dy/dx = [5cos(x-3/x+2)]/(x + 2)²
1 3/4 = 7/4....u take ur whole number (1) and multiply it by ur denominator (4)...which gives u 4...then add that to ur numerator (3), giving u 7...then put that over ur original denominator (4)....so it becomes 7/4
<span>The expression b^2-4ac is called the discriminant. If it is zero, or positive and a perfect square (like 4, 9, 25, 36, etc), the solutions to the quadratic equation will be rational numbers and factoring will work.
On the other hand, if the discriminant is positive but not a perfect square, the solutions will be irrational, and if it is negative, there are no real solutions. In either of those cases, the quadratic expression cannot be factored.
In the equation 2x^2+7x+3=0, the discriminant is b^2-4ac = 7^2 - 4*2*3= 49-24 = 25 = 5^2
That means that the solutions can be found by factoring.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>
Answer:
0.9545
Step-by-step explanation:
To calculate the probability, we need to get the standard score or z-score of each of the scores.
Mathematically;
z-score = (x-mean)/SD
mean = 89 and SD(standard deviation) = 3
for 83, the z-score = (83-89)/3 = -6/3 = -2
for 95, the z-score = (95-89)/3 = 6/3 = 2
The probability we are to calculate has the following range;
P(-2<z<2)
we use the standard score table to estimate this;
= P(z<2) - P(z<-2)
P(z<2) = 0.97725
P(z<-2) = 0.02275
Plugging these values into the equation, we have ;
P(-2<z<2) = 0.97725 - 0.02275 = 0.9545
Answer:
2.66
Step-by-step explanation:
