Which values of PPP and QQQ result in an equation with exactly one solution?-5x+12=Px+Q−5x+12=Px+Q
Choose all answers that apply:
(Choice A)
A
P=5P=5P, equals, 5 and Q=12Q=12Q, equals, 12
(Choice B)
B
P=-5P=−5P, equals, minus, 5 and Q=-12Q=−12Q, equals, minus, 12
(Choice C)
C
P=5P=5P, equals, 5 and Q=-5Q=−5Q, equals, minus, 5
(Choice D)
D
P=-12P=−12P, equals, minus, 12 and Q=-12Q=−12
Answers
Answer:
Option A, C and D are correction Option.
Step-by-step explanation:
Given Equation, -5x + 12 = Px + Q
We have to value of P and Q from given options such that equation has exactly one solution.
First simplify the equation,
-5x + 12 = Px + Q
-5x - Px = Q - 12
(-5 - P)x = Q - 12
from above P can not have value equal to -5 as if P = -5
we have (-5 - (-5))x = Q - 12
(-5 + 5)x = Q - 12
this equation has infinitely many solution as it removes x from the equation.
So, Option B is not our solution other than that All Options are our solution.
A).
P = 5 & Q = 12
⇒ (-5 - 5)x = 12 - 12
x = 0
C).
P = 5 & Q = -5
⇒ (-5 - 5)x = -5 - 12
-10x = -17
D).
P = -12 & Q = -12
⇒ (-5 - (-12))x = -12 - 12
7x = -24
Therefore, Option A, C and D are correction Option.
We are given equation : -5x+12=Px+Q.
Let us compare left and right sides of the equation.
On comparing Px = -5x.
Dividing both sides by x, we get
Px/x = -5x/x.
P = -5.
Let us compare other part of the given equation.
Q =12.
Therefore, we got P=-5 and Q =12.
Non of the given options seems correct.
Please check the option have P=-5 and Q =12.
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Answer:
Yes
Step-by-step explanation:
H(m ) = 3 + 10m
H(m ) = 2 + 12m
H(m ) = 10 + 3m
H(m ) = 12 + 2m
H(m ) = 3 + 10m
H(m ) = 12 + 2m
H(m ) = 10 + 3m
Answers
Answer:
The equations for the growth of two type of species are
H(m) = 12 + 2m
H(m) = 10 + 3m
Step-by-step explanation:
As given
The growth rate of two species of plants.
Species A is 12 cm tall and grows 2 cm per month.
The height of each species is represented by H(m) as a function of months m.
Than the equation becomes
H(m) = 12 + 2m
As given
Species B is 10 cm tall and grows 3 cm per month.
Than the equation becomes
H(m) = 10 + 3m
Than the equations for the growth of two type of species are
H(m) = 12 + 2m
H(m) = 10 + 3m
H(m) = 10 + 3m
Answers
The proportional relationship is W = 1/3 h if the leak has been releasing 2/3 of a liter of water every 2 hours option (B) is correct.
What is a proportional relationship?
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
Luke has a situation on his hands. A pipe in his house froze and cracked from cold weather.
The leak has been releasing 2/3 of a liter of water every 2 hours.
Here w represents the amount of water lost and h represents the number of hours
Based on the data given:
We can formulate the number expression:
5/7 - 2/3
= 1/21
The proportional relationship is:
W = 1/3 h
Thus, the proportional relationship is W = 1/3 h if the leak has been releasing 2/3 of a liter of water every 2 hours option (B) is correct.
Learn more about the proportional here:
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Answer:
w= 1/3h
Step-by-step explanation: im late