Answer:
145
Step-by-step explanation:
The discriminant of quadratic ...
ax^2 +bx +c = 0
is ...
d = b^2 -4ac
For your quadratic, you have a=4, b=-7, c=-6, so the discriminant is ...
d = (-7)^2 -4(4)(-6) = 49 +96 = 145
The discriminant is 145.
1. System B from System A by replacing one equation with itself where the same quantity is added to both sides
2. Yes, both system A and system B are equivalent and therefore has the same solution
<h3>How to prove the statements</h3>
System A
x − 4y= 1
5x + 6y= −5
System B
x = 1+4y
5x + 6y= −5
1. System B can be gotten from system A by
from the first equation of A
x − 4y= 1
Make 'x' subject of formula
x = 1 + 4y
This makes it equal to tat of system B
Thus, replacing one equation with itself where the same quantity is added to both sides
2. System A
x = 1 + 4y
5x + 6y= −5
System B
x = 1 + 4y
5x + 6y= −5
From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.
Learn more about linear equations here:
brainly.com/question/4074386
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The answer is A. You can get that in by plugging in and checking or by substitution. In order to use substitution here, you would plug in 3x + 3 into y in the first equation. You would then distribute the 2 and solve for x, which would give you 0. Then you could plug that into either equation to find that y = 3.
(-3)-(-6)×(-9)
Simplify your equation to make it look neater.
(-3)+(6)×(-9)
Combine like terms.
(-3+6)×(-9)
Simplify.
(3)×(-9)
Simplify. Remember, a negative times a positive is ALWAYS a negative.
-27
~Hope I helped!~
Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
