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3 years ago

What is the equation of the line that passes through the points (2, –1) and (6, 1)?

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

Answer:

y = 2/4x -2

Step-by-step explanation:

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Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression

faust18 [17]

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

7 0

3 years ago

For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Fiesta28 [93]

Answer:

$\boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7}$

Given:

$\sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6$

To find:

$\sf (f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7$

8 0

3 years ago

Which of the following is a rule for the geometric sequence 1,3,9,27...

antoniya [11.8K]

The rule would be : 3^x, where x starts at 0.

3^0 is 1,

3^1 is 3, because 3 one time is 3.

3^2 is 9, because 3x3 is 9.

3^3 is 27, because 3x3x3 is 27

Answer: 3^x

5 0

3 years ago

Please answer now plz!!!! A farmer is trying to determine the number of plaintiff plaints in a farm that covers 21 acres. He mar

Natali5045456 [20]

Answer:

D) 12,656

Step-by-step explanation:

First of all, as they have given us 3 quantities of plants in 1/2 an acre, we can work out the average amount of plants in 1 whole acre.

In the first 1/2 acre there were:

291 plants

In the second 1/2 acre there were:

327 plants

In the third 1/2 acre there were:

286 plants

to work out the average, we add all these together then divide them by 3 (as there are 3 examples)

291 + 327 + 286 = 904

904 ÷ 3 = 301.3 (this is the average amount of plants in every 1/2 acre.) If we multiply this answer by 2 we will get the average amount of plants in every acre.

301.3 x 2 = 602.67 (average plants in every 1 acre) multiply by total acres (21) for your answer

602.67 x 21 = 12656 average plants in total

I hope this was helpful :-)

8 0

3 years ago

The diameter of a circle is 4 units.<br> What is the radius of the circle?<br> units

shtirl [24]

Answer:

2 units

Step-by-step explanation:

the radius is always half the diameter

d = 2r

6 0

3 years ago