Call the two equations above A and B, in order to not confuse them.
A: -2x + 6y = -38
B: 3x - 4y = 32
For this system we have opposites in x and y, so Elimination (or Linear Combination) works best. Either variable works, so let's work with x first and multiply A by 3 and B by 2. This is done so we get opposites in A and B then when added together give zero.
-2x + 6y = -38 ------> multiply by 3 ----> -6x + 18y = -114
3x - 4y = 32 ------> multiply by 2 -----> 6x - 8y = 64
Now we add the new equations. The -6x and 6x are opposites and go away. We are left with
10y = -50. We divide both sides by 10 and get that y = -5.
Now we take y = -5 and put it into an original equation. Let's use A.
-2x + 6y = -38 the original equation A
-2x + 6(-5) = -38 we found y = -5
-2x + (-30) = -38 evaluating and multiplying
-2x - 30 = -38 apply the parentheses
-2x = -8 add 30 to both sides
x = 4 divide on both sides by -2
Thus x = 4 and y = -5, or (4, -5) is the solution.
Answer:
48,213
Step-by-step explanation:
The full answer is 48,212.5367, but because there is a 5 in the tenths place you round the whole number up
Answer:
Step-by-step explanation:
I need help my self♀️
The value of (f·g)(x) from the given function is -2x³ - x².
The given functions are f(x) = 2x +1 and g(x) = -x².
<h3>What is the function?</h3>
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here,
(f·g)(x) = f(x) × g(x)
= (2x +1) × (-x²)
= 2x × (-x²) + 1 × (-x²)
= -2x³ - x²
Therefore, the value of (f·g)(x) from the given function is -2x³ - x².
To learn more about the function visit:
brainly.com/question/28303908.
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"Your question is incomplete, probably the complete question/missing part is:"
If f(x) = 2x +1 and g(x) = -x², then find (f·g)(x).
