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3 years ago

The function f(x)=-(x+5)(x+1) is shown below. What is the range of the function?

Mathematics

2 answers:

expeople1 [14]3 years ago

6 0

Answer:

(C).

Step-by-step explanation:

From the graph we see that the maximum value of the function is 4.

So the range is all real numbers less than or equal to 4.

mash [69]3 years ago

4 0

C because the parabola opens down and the vertex is equal to or less than 4.

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What is proportion of 44/p=11/s what dose p equal

SVETLANKA909090 [29]

If 44/p is the same as 11/s, then we should look at what 11/s is scaled by to get 44/p, if that makes sense. So, we’d take 44/11 to get 4, therefore p=4. This also means that s=1, because 44/4=11/1

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3 years ago

A circus tent is supported by a rope that is staked to the ground. The tent makes a 90 angle with the ground. The following visu

Crazy boy [7]

The value of x is 34.64 feet

<h3>Right-angled triangle</h3>

Find the diagram attached

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length of the rope = x

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Learn more on SOH CAH TOA here: brainly.com/question/20734777

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3 years ago

Explain why y^2 = x (X input, y output) is not a function.

sveta [45]

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3 years ago

Read 2 more answers

Can someone please help me with this algebra question? Image attached.

horsena [70]

Answer:

2 relative maxima and minima

(2, 6.2) = maxima

(0, -4) = minima

*tell me if I got this wrong

3 0

3 years ago

Polynomial expressions with matching

yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0

3 years ago