At a pumpkin patch, if armando guesses the weight of his pumpkin within 0.3 ounces, he gets to take the pumpkin home for free. if his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?
a. x – 0.3 = 4.9 and x – 0.3 = –4.9
b. x + 0.3 = 4.9 and x + 0.3 = –4.9
c. x + 4.9 = 0.3 and x + 4.9 = –0.3
d. x – 4.9 = 0.3 and x – 4.9 = –0.3

the answer is D hope it helps

d. x – 4.9 = 0.3 and x – 4.9 = –0.3

Step-by-step explanation:

Given,

The estimated weight of the pumpkin = 4.9 pounds,

Since, the weight of his pumpkin can be within 0.3 ounces,

Let x be the actual weight of the pumpkin,

⇒ Maximum estimated weight of the pumpkin = x + 0.3 ,

And, minimum estimated weight of the pumpkin = x - 0.3,

⇒ x + 0.3 = 4.9 and x - 0.3 = 4.9

⇒ x - 4.9 = - 0.3 and x - 4.9 = 0.3

⇒ Option d is correct.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: