Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
Answer:
68-x
Step-by-step explanation:
71-x-3=71-3-x=68-x
Answer:
The false choices are A, C, and E
Step-by-step explanation:
Let's make an example:
p=1
q=2
s=sqrt(3)
t=sqrt(6)
Since pq=1*2=2, the answer is rational and A is false.
Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.
Since p/q=1/2=0.5, the answer is rational and C is false.
Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.
Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.
Answer:
The solution is at the point (14, 15.5)
Step-by-step explanation:
I graphed the equations on the graph below.
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