4x+5 ≤ 2x-3 is equivalent to

Mathematics

1 answer:

Mandarinka [93]2 years ago

6 0

Answer:

x ≥ -4

Step-by-step explanation:

4x+5 ≤ 2x-3

Collect like terms

4x-2x ≤ -3-5

Simplify

2x ≤ -8

Divide both sides by 2

2x / 2 ≤ -8 / 2

x ≥ -4

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The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Darina [25.2K]

Answer:

a) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 0$ are $x_{1}\approx -0.25$ and $x_{2} \approx 1.25$ .

b) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 2$ are $x_{1}\approx -0.5$ and $x_{2} \approx 1.5$

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial $y = 4\cdot x^{2}-4\cdot x -1$ , where $x$ is related to the horizontal axis of the Cartesian plane, whereas $y$ is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case: