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madam [21]
2 years ago
5

A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provi

ded.
input: 1 2 3 4 n
output: -10 -13 -16 -19 (Blank)
Mathematics
2 answers:
Dimas [21]2 years ago
7 0

Answer:

5; -22

Step-by-step explanation:

Hope this will help

amid [387]2 years ago
6 0

Answer:

5; -22

Step-by-step explanation:

A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional.

Given the following data;

Input: 1 2 3 4 n

Output: -10 -13 -16 -19

For an input variable of 1, 2, 3, 4; the output variable is -10, -13, -16, -19 respectively.

To find the value of n;

We can deduce that the input is increasing by a value of 1.

Thus, n = 4 + 1 = 5

For the output;

We can deduce that the output is increasing by a value of -3.

Thus, the next output = -19 + (-3) = -22

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Need help with these 2 problems on my homework.
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4 0
3 years ago
What is the length of a diagonal of a cube with a side length of 10 cm? 200 cm 210cm 300 cm 320cm
Scilla [17]

Answer:

The length of the diagonal of the cube = √(3 × 10²) = √300 cm

Step-by-step explanation:

* Lets revise the properties of the cube

- It has six equal faces all of them are squares

- It has 12 vertices

- The diagonal of the cube is the line joining two vertices in opposite

 faces (look to the attached figure)

- To find the length of the diagonal do that:

# Find the diagonal of the base using Pythagoras theorem

∵ The length of the side of the cube is L

∵ The base is a square

∴ The length of the diagonal d = √(L² + L²) = √(2L²)

- Now use the diagonal of the base and a side of a side face to find the

 diagonal of the cube by Pythagoras theorem

∵ d = √(2L²)

∵ The length of the side of the square = L

∴ The length of the diagonal of the cube = √[d² + L²]

∵ d² = [√(2L²)]² = 2L² ⇒ power 2 canceled the square root

∴ The length of the diagonal of the cube = √[2L² + L²] = √(3L²)

* Now lets solve the problem

∵ The length of the side of the square = 10 cm

∴ The length of the diagonal of the cube = √(3 × 10²) = √300 cm

- Note: you can find the length of the diagonal of any cube using

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7 0
3 years ago
Read 2 more answers
Suppose that c varies jointly with d and the square of g, and c = 30 when d = 15 and g = 2.
maksim [4K]

Answer:

d = \dfrac{3}{16}

Step-by-step explanation:

c varies jointly with d and the square of g

c\propto dg^2

c=kdg^2

where, k is constant of proportionality.

Put the given value c = 30 when d = 15 and g = 2 and find out k

30=k\cdot 15\cdot 2^2

k=\dfrac{1}{2}

c=\dfrac{1}{2}kg^2

If c = 6 and g = 8 then d = ?

6=\dfrac{1}{2}\cdot d\cdot 8^2

d=\dfrac{6\cdot 2}{8^2}

d=\dfrac{3}{16}

Hence, The value of d is \dfrac{3}{16}

5 0
3 years ago
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