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2 years ago

Two quadratic functions are shown.

Mathematics

1 answer:

slava [35]2 years ago

7 0

Answer:

Option (1) is the correct option.

Step-by-step explanation:

Function 1,

f(x) = 4x² + 8x + 1

= 4(x² + 2x) + 1

= 4(x² + 2x + 1 - 1) + 1

= 4(x² + 2x + 1) - 4 + 1

f(x) = 4(x + 1)² - 3

This graph opens up with the vertex or minimum point at (-1, -3)

So, the minimum value of the function is (-3) at x = -1.

Function (2)

From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)

Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)

Option (1) is the correct option.

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3 years ago

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Lina20 [59]

Answer:

$A_{white} = 119\ cm^2$

Step-by-step explanation:

Step 1: Determine the area of the black area

$A = l * w$

$A = 8\ cm * 2\ cm$

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Step 2: Determine the area of the entire white and black area

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Step 3: Determine the difference to just get the white area

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2 years ago

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bonufazy [111]

Answer:

Step-by-step explanation:

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2 years ago

Which of the following is a solution to the differential equation xy′−3y=6 ?

ololo11 [35]

Answer:

$y = 5 {x}^{3} - 2$

Step-by-step explanation:

The given differential equation is :

xy′−3y=6

We want to determine which of the following options is a solution to the differential equations.

The function that satisfies the differential equation is a solution.

We can verify that

$y = 5 {x}^{3} - 2$

satisfy this differential equation.

We differentiate to get:

$y' = 15 {x}^{2}$

We substitute the function and its derivative into the differential equation to get:

$x(15 {x}^{2}) - 3(5 {x}^{3} - 2) = 6$

We expand and simplify on the left:

$15 {x}^{3}- 15 {x}^{3} + 6= 6$

This simplifies to:

$6 = 6$

Verified.

We can show that all the other functions do not satisfy this differential equation

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3 years ago

I want to answer other people’s questions but for some reasons the don’t let me do it it says “oops... something went wrong” Doe

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

your internet is unstable
the question has been deleted by a moderator

Try refreshing your page.

hope this helps

pls mark me brainliest!

6 0

3 years ago