Answer:
Step-by-step explanation:
Let the number be 'x'
Reciprocal = 

Cross multiply
(x² + 1) *2 = 5*x
2x² + 2 = 5x
2x² - 5x + 2 =0
Factorize the equation,
Sum = -5
Product = 4
Factors = -1 , -4
2x² - x - 4x + 2 = 0
x(2x - 1) - 2(2x - 1) = 0
(2x -1 )(x - 2) = 0
2x - 1 = 0 ; x -2 = 0
2x =1 ; x = 2
x = 1/2
Number = 2 , and its reciprocal = 1/2
Answer:
The toy's maximum height is
.
Step-by-step explanation:
The equation that models the toy's height in feet from the ground at t seconds after he threw it is given by :
.....(1)
It is required to find the toy's maximum height. For maxima or minima, put

Plugging the value of t in above equation,

Now put t = 1.75 s in equation (1) such that,

So, the toy's maximum height is
.
Answer:
Is there a picture?
Step-by-step explanation:
please add a picture. You can also see if the transition is congruent by counting
Answer:
0.7938
Step-by-step explanation:
z1 = (125-100)/15 = 1.667
P( < 125) = 0.9522
z2 = (85-100)/15 = -1
P( > 85) = 0.8413
0.9522 + 0.8413 - 1 = 0.7935
1a (you don’t necessarily need to include the 1, so you can just put “a” if you’d like).