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BARSIC [14]
3 years ago
13

1.1) Use the graph of a function f to determine x or y to the nearest​ integer.

Mathematics
2 answers:
True [87]3 years ago
7 0
When f(x)=0 x=-1, 0, 8
vlabodo [156]3 years ago
4 0
F(x) = 0 is the same as saying y = 0. When y = 0, the line will cross the x-axis. Look for where the line crosses the x-axis.

The line crosses the x-axis at x = -1, x = 0, and x = 8. At these x-points, y will equal 0.

The answer is 'When f(x) = 0, x = -1, 0, -8.'
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Studentka2010 [4]

Answer:

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Citations (13)

References (16)

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8 0
3 years ago
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded regio
Damm [24]

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

7 0
3 years ago
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the
IrinaVladis [17]

Answer:

Step-by-step explanation:

A) 16.13 = 12(1.03)ⁿ

   1.344 = (1.03)ⁿ

ln(1.344) = n(ln(1.03))

           n = (ln(1.344)) / ln(1.03)

           n = 10.0062...

so a domain of 0 ≤ n ≤ 10 is reasonable

B) y-intercept is the height of the plant on day 0 which would be 12 cm

C) f(3) = 12(1.03)³ = 13.11 cm

average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7

= 0.43 cm/day  or average growth per day

8 0
3 years ago
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