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3 years ago

F(x) = -4(x+3)+6(x+4)

Mathematics

1 answer:

loris [4]3 years ago

5 0

Answer:

zero of the function occurs at x = -6

Step-by-step explanation:

Given f(x) = -4(x+3)+6(x+4)

Since the question is incomplete, we can as well find the zero of the given function. The zero exists when f(x) = 0

Hence;

-4(x+3)+6(x+4) = 0

Expand

-4x - 12 + 6x + 24 = 0

Collect the like terms

-4x + 6x - 12 +24 = 0

2x + 12 = 0

2x = -12

x = -12/2

x = -6

Hence the zero of the function occurs at x = -6

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Reasking the answer for this one, solve for x please and thank you. click on file

Ivenika [448]

Answer:

Step-by-step explanation:

A circle is 360 degrees.

145 +136 + 35= 316

360-316= 44

44 Degrees

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2 years ago

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Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge

Bingel [31]

Perimeter of window is 192 inches.

Step-by-step explanation:

We are given:

Area of rectangular window = 2160 inches square

Length of rectangular window = 60 inches

Required:

Perimeter of window=?

Formula to find Perimeter is:

$Perimeter=2(length+Width)$

We first find width of rectangular window by using formula of area:

$Area=Length*Width$

Putting values:

$Area=Length*Width\\2160=60*Width\\Width=\frac{2160}{60}\\Width=36\,\,inches$

So, width = 36 inches

Now finding perimeter:

$Perimeter=2(length+Width)\\Perimeter=2(60+36)\\Perimeter=2(96)\\Perimeter=192\,\,inches$

So, perimeter of window is 192 inches.

Keywords: Perimeter of rectangle

Learn more about Perimeter of rectangle at:

#learnwithBrainly

3 0

3 years ago

Write 3 different ways to correctly compare the following numbers. use ≥, ≤, or ≠<br><br> 352 352

insens350 [35]

Three ways to correctly compare the following numbers are, 352 = 352, anything else is impossible with < and >

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3 years ago

Use logical equivalences (not a truth table) to reduce p → (q − p) to a tautology t. In other words, you should transform p → (q

schepotkina [342]

Answer:

The statement $p\rightarrow (q\rightarrow p)$ is a tautology.

$p\rightarrow (q\rightarrow p)\equiv \lnot p\lor (q\rightarrow p) \equiv \lnot p\lor (\lnot q\lor p) \equiv (p\lor \lnot p) \lor \lnot q \equiv T \lor \lnot q \equiv T$

Step-by-step explanation:

We have the following statement:

$p\rightarrow (q\rightarrow p)$

To reduce the statement to a tautology we need to use the table of logical equivalences as follows:

$p\rightarrow (q\rightarrow p)\equiv$

$\equiv \lnot p\lor (q\rightarrow p)$ by the the logical equivalence involving conditional statement.

$\equiv \lnot p\lor (\lnot q\lor p)$ by the the logical equivalence involving conditional statement.

$\equiv (p\lor \lnot p) \lor \lnot q$ by the Associative law.

$\equiv T \lor \lnot q$ by the Negation law.

$\equiv T$ by the Domination law.

7 0

3 years ago

Find an explicit function rule for the sequence 5,11,17,23,.... Use the formula a(n) = a(n-1)d and simplify fully.

Taya2010 [7]

For this problem, we know d = 6 because (11 - 5) = (17 - 11) = (23 - 17) = 6
Now, we have to use the formula:
$a_{n} = a_{1} + (n-1)d$
For this problem, d = 6 and a(base1) is 5, so plug it in like this:
$a_{n} = 5 + (n - 1)(6)$
To simplify, all you have to do is distribute the six and reduce like so:
$a_{n} = 5 + ((6*n)-(6*1)) \\ a_{n}=5 + 6n - 6 \\ a_{n} = 6n-1$

So, here's your answer:
$a_{n} = 6n-1$

Hope this helps!

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3 years ago

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