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Katarina [22]
3 years ago
10

Determine the number of solutions to the following system of equations. y=-3x^2-4x+7 and 3x+2y=18

Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

Step-by-step explanation:

y=-3x²-4x+7...(*)

3x+2y=18...(**)

use (*) put the value of y in (**) :

3x +2(-3x²-4x+7)=18

3x-6x²-8x +14 -18 = 0

-6x²-5x- 4 = 0

6x²+5x+4 = 0

delta = b² - 4ac     a = 6   b=5    c =4

delta = 5² - 4(6)(4)= 25 -96= -71 negatif

so no reals solution

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3 years ago
Inverse of f(x)=-5x+15
Otrada [13]

f(x) = -5x - 15


Let y = f(x)


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Switch the x and y places, and solve for y:


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The boxed definition of absolute value states that |a|=-a if a is a negative number. Explain why |a| is always nonnegative, even
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Final answer:

Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.

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Step-by-step explanation:

Step 1

It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.

Step 2

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