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UkoKoshka [18]
4 years ago
9

Given the function f(x)=5x6−3x5+6x4+6 What is the value of f(3)?

Mathematics
1 answer:
Feliz [49]4 years ago
8 0
The answer is f(3)=3,408.

To solve this problem, just plug 3 into the function and simplify.

f(x) = 5x^6 - 3x^5 + 6x^4 +6 \\
f(3) = 5(3)^6 - 3(3)^5 + 6(3)^4 +6 \\
= 5(729) - 3(243) + 6(81) + 6 \\
= 3645 - 729 + 486 + 6 \\
= 3408

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Create a formula to the sequence 2,8,14...
Colt1911 [192]

Answer:

a_n = 2+6(n-1)

Step-by-step explanation:

Explicit Arithmetic Formula: a_n=a_1 + d(n-1)

a₁ is 1st term in sequence

<em>d</em> is common difference

<em>n</em> is term number

Step 1: Find <em>d</em>

d = 8 - 2 = 6

Step 2: Plug in variables into formula

a_n = 2+6(n-1)

7 0
4 years ago
If there is thirtysix times it by 1 million how much will that be
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Answer:

36*1 000 000

=36  000   000

Step-by-step explanation:

8 0
3 years ago
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There are 32 sixth graders and 44 seventh graders in the video gaming club. Which ratio is the greatest?
katrin [286]
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3 years ago
PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each othe
Vinvika [58]

Answer:

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

<u>Given: </u> Distance between the two towns = 1100 miles

Difference between speeds = \frac{1}{2} miles/hr

Total time when they meet = 240 hours

<u>To find:</u>

Let distance traveled by first group = x miles.

Now, the distance traveled by second group = (1100-x) miles/hr

The relation between Speed, Time and Distance is given as:

\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}

Let speed of first group = S_1

S_1 = \dfrac{x}{240}

Let speed of second group = S_2

S_2 = \dfrac{1100-x}{240}

As per question, S_1 = S_2 + \frac{1}{2}

\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft

Now,

S_1 = \dfrac{x}{240}

Putting value of x:

S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr

Similarly, putting value of x in S_2:

S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr

8 0
3 years ago
Need help with math. It says to simplify the expression 7(7t+6r+2)
RSB [31]
7 times 7 is 49
7 times 6 is 42
and 7 times 2 is 14
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