Which linear inequality is represented by the graph?

Mathematics

1 answer:

Zina [86]2 years ago

8 0

Answer:

Step-by-step explanation:

not 100% but if you go across 1 and up 2 you get to tje line

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On the set of axes, solve the following system of equations graphically for all values of

mel-nik [20]

Y = x² + 4x - 5
y = 2x

x² + 4x - 5 = 2x
 - 2x - 2x
x² + 2x - 5 = 0
x = -(2) ± √((2)² - 4(1)(-5))
 2(1)
x = -2 ± √(4 + 20)
 2
x = -2 ± √(24)
 2
x = -2 ± 2√(6)
 2
x = -1 ± √(6)
x = -1 + √(6) U x = -1 - √(6)
y = 2x
y = 2(-1 ± √(6))
y = 2(-1) ± 2√(6)
y = -2 ± 2√(6)
(x, y) = (-1 ± √(6), -2 ± 2√(6))

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20 POINTS! Yes or No?

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Answer: YES.

Drawing a vertical line will cross the graph at one point only.


Every x was assigned one y.

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Prove that the left side equals to the right side: (sin x/(1-cos x))+(sin x/(1+cos x))=2 csc x

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Solve the system by substitution. y = -4x 23 - 5y = 44

spin [16.1K]

<h3>Explanation</h3>

Given the system of equations.

$\begin{cases} y = - 4x \\ 23 - 5y = 44 \end{cases}$

Substitute y = -4x in the second equation.

$23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x = \frac{21}{20}$

Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

$y = - 4x \Longrightarrow y = - 4( \frac{21}{20} ) \\ y = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y = - \frac{21}{5} \\ y = - \frac{21}{5}$

Answer Check by substituting both values in two equations.

First Equation

$y = - 4x \Longrightarrow - \frac{21}{5} = - 4( \frac{21}{20} ) \\ - \frac{21}{5} = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\ - \frac{21}{5} = - \frac{21}{5} \: \: \: \checkmark$