Answer:
-4
Step-by-step explanation:
4x+3y=-1
3x + y=-7
Solve for Y
3x+y=-7
-3x. -3x
y= -3x - 7
Plug in Y into the top equation
4x + 3 (-3x - 7) = -1
Distribute the Parenthesis
4x -9x-21=-1
Combine Like terms
-5x = 20
Divide by -5 on both sides
20/-5
x = -4
Answer: f(-3) = 278, f(-4) = 232
Step-by-step explanation:
f(x) = 4x³ - 6x² - 144x + 8
f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8
f(-3) = 4(-27) - 6(9) - 144(-3) + 8
f(-3) = 278
f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8
f(-4) = 4(-64) - 6(16) - 144(-4) + 8
f(-4) = 232
Answer:
TU = 6
Step-by-step explanation:
Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.
From the table, y varies directly as x. Therefore, the constant of variation is k = 2 and y = 2x.
<h3>How to find a direct variation?</h3>
For direct variation,
y ∝ x
Therefore,
y = kx
where
- k = constant of proportionality
Hence,
(-2, -4)
-4 = -2k
k = -4 / -2
k = 2
(-4, -8)
y = -4(2) = -8
Therefore,
k = 2 and y = 2x
learn more on variations here: brainly.com/question/2315806
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