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KonstantinChe [14]
2 years ago
14

Factor the expression completely?x^4-17x^2+72 ​

Mathematics
1 answer:
Mariana [72]2 years ago
6 0
Answer :
(x-3)(x+3)(x^2 - 8)

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Solve the inequality <br><br> 6(x-3)/8≥3
vivado [14]

Answer:

x≥7

Step-by-step explanation:

6(x-3)/8≥3

Multiply each side by 8/6

8/6*6(x-3)/8≥3*8/6

(x-3)≥4

Add 3 to each side

x-3+3≥4+3

x≥7

8 0
3 years ago
Area of a regular hexagon with an apothem of 15 cm
Anton [14]

Answer:

area = 779.4 cm²

Step-by-step explanation:

divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.

tan 60° = 15/x

1.7321 = 15/x

x = 8.66 (this is one-half of the base of the triangle)

base = 17.32 cm

area of one triangle = 1/2(17.32)(15) = 129.9 cm²

129.9(6) = 779.4 cm²   (because 6 triangles make up the hexagon)

8 0
3 years ago
The graph of a function f(x) passes through the following points:
Alex

The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)

Let

f(x) = ax² + bx + c

Plug x = 0, and y = 2

c = 2 ...(1)

Plug x = 1 and y = 0

a + b + c = 0 ..(2)

Plug x = -1 and y = 0

a - b + c = 0  ...(3)

After solving (1), (2), and (3)

a = -2

b = 0

c = 2

f(x) = -2x² + 2

Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

5 0
2 years ago
Hailey made the following statement
hichkok12 [17]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent bet
Nuetrik [128]

Answer:

Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.

Step-by-step explanation:

The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:

Patricia = X

Donald = 1 / 2X

Carl = 3/2 X

X + 1 / 2X + 3 / 2X = 72

1X + 0.5 X + 1.5 X = 72

3X = 72

X = 72/3

X = 24

Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).

4 0
2 years ago
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