2 years ago

Determine whether the ordered pair (6, 1) satisfies the equation y = 10 - 4x

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

Plug in the point
1 = 10 - 4(6)
1 = 10 - 24
1 = -14, false
Solution: B

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Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4,

Katena32 [7]

2x^2 + 8x - 12 = 0..divide by 2
x^2 + 4x - 6 = 0
x^2 + 4x = 6...add 4 to both sides of the equation
x^2 + 4x + 4 = 6 + 4
(x + 2)^2 = 10....<== ur constant is 10
x + 2 = (+-)sqrt 10
x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10
x = -2 - sqrt 10

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3 years ago

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olya-2409 [2.1K]

Step-by-step explanation:

Hello there!

Use the formula for the volume of a sphere:

$v=\frac{4}{3} \pi r^1\\V=\frac{4}{3} \pi9\\\\ V=12\pi =37.699111$

There is your answer!

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3 years ago

A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph

natima [27]

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.