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Vinil7 [7]
3 years ago
6

Select all the possible input-output pairs for the function

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
7 0

Answer:

A.(-1,-1)

E.(4,64)

Step-by-step explanation:

We are given that

Function

y=x^3

We have to find all possible input-output pairs for the function.

Substitute x=-1

y=(-1)^3=-1

Then, the pair is (-1,-1)

Now, substitute x=-2

y=(-2)^3=-8

Then, pair is (-2,-8)

Now, substitute x=3

y=3^3=27

Now, substitute x=4

y=4^3=64

Now, substitute x=1

Then, y=1

Hence, Option A and E are true.

A.(-1,-1)

E.(4,64)

cestrela7 [59]3 years ago
5 0

Answer:

The answers are A E and D

Step-by-step explanation:

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Step-by-step explanation:

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A is the correct answer
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Simplify each radical
const2013 [10]

Answer:

AECG

Step-by-step explanation:

1

sqrt(49) = 7

sqrt(a^2) = a

sqrt(b^2) = b

For every two variables you can take one out from under the root sign and thorough the other one away.

Answer: E

2

sqrt(36) = 6

sqrt(a^2) = a  See comment for 1.

b must be left where it is. There is only 1 of them.

6asqrt(b)

Answer: A

3. sqrt(25) = 5

sqrt(b^2) = b

a must be left alone.  There's only 1 of them.

5b sqrt(a)

answer: C

4

sqrt(81 a b)

sqrt(81) = 9

The variables must be left alone. There's only1 of them

9 sqrt(ab)

Answer G

8 0
3 years ago
Several students were asked to name the kinds of animals they saw in the past week at the park. Determine the ratio that compare
SVETLANKA909090 [29]

Answer:

A. 1:8

Step-by-step explanation:

We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.

Dogs: 8

Cat: 2

Fish: 4

Lizard: 2

We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.

Let us find total number of animal by adding each type of animals as:

\text{Total animals}=8+2+4+2

\text{Total animals}=16

We can see that the students saw 2 cats, so ratio of cats to total animals would be 2:16.

Dividing 2 and 16 by 2, we will get:

\frac{2}{2}:\frac{16}{2}\Rightarrow 1:8

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.

5 0
3 years ago
A rectangular pyramid has a height of 8 meters. The base is 7 meters in length and 15 meters in width two different triangular c
vagabundo [1.1K]

Answer:

The difference in the areas of the cross section is 32 m²

Step-by-step explanation:

The given parameters are;

The height of the rectangular pyramid = 8 meters

The length of the base of the pyramid = 7 meters

The width of the base of the pyramid = 15 meters

Whereby triangular cross sections are formed through the vertex and perpendicular to the base, and to each other, we have;

The sides of the two triangles consists of the following;

1) Two slant height of the pyramid each

2) The two perpendicular lines joining the midpoints of the opposite sides of the base of the pyramid with length equal to the length of the adjacent side to the sides from which they are drawn which are 15 meters and 7 meters

3) The two lines and the corresponding slant height form triangles cross section which are perpendicular to each other.

the slant height, h_l, is given as follows;

h_l = √(8² + (15/2)²) ≈ 10.966

For the triangular cross section with base = 15 m

The area of the cross section = 1/2 × Base₁₅ × Height = 1/2 × 15 m × 8 m = 60 m²

For the triangular cross section with base = 7 m

The area of the cross section = 1/2 × Base₇ × Height = 1/2 × 7 m × 8 m = 28 m²

The difference in the areas of the cross section = 60 m² - 28 m² = 32 m².

5 0
3 years ago
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