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Nookie1986 [14]
3 years ago
13

Which is the graph of f(x) = StartRoot x EndRoot?

Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer:

The 4th graph

Step-by-step explanation:

To determine which graph corresponds to the f(x) = \sqrt{x}   we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.

f(1) = \sqrt{1} = 1\\f(2) = \sqrt{2} \approx 1.41\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3

So, we can see that the pairs (1, 1), (2, 1.41), (4, 2), (3, 9) correspond to the fourth graph.

Do not be confused with the third graph - you can see that on the third graph there are also negative y values, which cannot be the case with the f(x) =\sqrt{x}, the range of that function is [0, \infty>,   so there are only positive y values for f(x) = \sqrt{x}

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Norma-Jean [14]

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

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Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

5 0
3 years ago
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Step-by-step explanation:

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Answer:

x = \frac{7}{5}

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

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\frac{7}{5}=x  

So, x = \frac{7}{5}

(x = 7/5)

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