Can someone explain this.

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

Answer:

9/4 yds fabric per 1 ft of ribbon

Step-by-step explanation:

3/4 yd fabric is required for every 2/3 ft of ribbon. Let's put this info into an equation of ratios to figure out the number of yards of fabric required for every ONE ft of ribbon:

3/4 yd fabric 2/3 ft ribbon

----------------------- = ---------------------

x 1 ft ribbon

Use cross mult. to solve this. We obtain 3/4 = (2/3)x.

Mult. both sides by (3/2) yields (3/2)(3/4) = (3/2)(2/3)x = x.

This comes out to 9/4 yds fabric per 1 ft of ribbon.

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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: