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MakcuM [25]
1 year ago
15

The graph of y = f(x) is shown. a) Find f(0) 4- 3. b) Give the roots of f(x) = 0

Mathematics
1 answer:
Amanda [17]1 year ago
6 0

The value of f(0) is 1

and

The roots of f(x) = 0 are -2 and -1

<h3>Graph of a function</h3>

From the question, we are to determine the value of f(0) and the roots of f(x) = 0

The value of f(0) is the value of f(x) or the value of y when x = 0

In the given graph, we can observe that the value of y when x = 0 is 2

∴ f(0) = 2

The roots of f(x) = 0 correspond to the values of x when f(x) = 0 or when y = 0

In the graph, we can observe that the values of x when f(x) = 0 are -2 and -1

∴ The roots of f(x) = 0 are -2 and -1

Hence, the value of f(0) is 1

and

The roots of f(x) = 0 are -2 and -1

Learn more on Graph of a function here: brainly.com/question/21265554

#SPJ1

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1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of th
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Answer:

Step-by-step explanation:

Step-by-step explanation:  As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.

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2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a

2. if a=25 ft, then the height is  √3/2a=√3/2*25=1.732/2*25=21.7(ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l

the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2  

so the total area of the roof is  

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.

So the total area found previously will be decreased by al

5. so the area now is √3/2a^2 + 2al  

6. now a=25 and l=2a=50

Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866

=3041.3 (ft squared)

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