Answer:
The answer is (-3,7/2)
Step-by-step explanation:

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Answer:
The larger integer is
.
Step-by-step explanation:
Given: Two times the smaller of two consecutive integers is equal to
more than the larger.
To find: The larger integer.
Solution:
Let the two consecutive integers be
and
, where the smaller integer is
and larger integer is
.
Now, according to question.
Two times the smaller integer
more than the larger integer.



So, the smaller integer is
, and the larger integer is 
Hence, the larger integer is 
Answer:
Step-by-step explanation:
y ∝ x^2
Introducing the proportionality constant, we have
y = kx^2
Given : y= 18 when x = 3
substitute the given values in order to get the constant
i.e 18 = k x 3^2
18 = 9k
k = 2
therefore the formula connecting x and y
⇒ y = 2x^2
To find y if x is 4, just substitute x = 4 into the formula connecting x and y
i.e y = 2 x 4^2
= 2 x 16
= 32
It seems confusing, but it's just breaking down the steps for you. It's done the same as any other word problem.
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
8.40 = 0.10m
84 = m
d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.
Answer:
The potential energy of the ball having 2kg mass would be
J
Step-by-step explanation:
I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.
Considering the formula for calculating the gravitational potential energy

As
kg
Acceleration of gravity = g = 9.8 
As the ball is on the height = h = 20 meters
So,

J
Therefore, the potential energy of the ball =
J
Keywords: potential energy, Gravitation potential energy
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