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3 years ago

The following graph describes function 1, and the equation below it describes function 2:

Mathematics

1 answer:

kati45 [8]3 years ago

8 0

Answer:

Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1

Therefore, vertex = (4, 1)

Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5

Therefore vertex = (2, 5)

Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.

Step-by-step explanation:

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Analyze the diagram below and complete the instructions that follow.

Phantasy [73]

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

ΔBCD and ΔACE are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

$\frac{AC}{BC}= \frac{EC}{DC}$

$\frac{AB+BC}{BC}= \frac{ED+DC}{DC}$

$\frac{AB+6}{6}= \frac{24+8}{8}$

$\frac{AB+6}{6}= \frac{32}{8}$

$\frac{AB+6}{6}=4$

AB + 6 = 24

AB = 18

Option (B) will be the answer.

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3 years ago

A cone has a radius of 5 inches and a height of 10 inches. What is the volume of the cone? Use 3.14 for pi. Round to the nearest

RideAnS [48]

Answer:

261.8 in^3

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(base)(height), where "base" is the area of the base.

In this case, with the radius being 5 in and the height 10 in, we get:

V = (1/3)*π*(5 in)^2*(10 in), which simplifies to 261.8 in^3.

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3 years ago

Evaluate:<br> Σ10, 8(27-1) =

vfiekz [6]

Answer:

Step-by-step explanation:

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All Questions are fron percentage and its applications

Likurg_2 [28]

Answer:

1.20%

Step-by-step explanation:

1.50-30=20

2.15000

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steposvetlana [31]

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Step-by-step explanation:

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3 years ago