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Ann [662]
3 years ago
10

What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?

Mathematics
1 answer:
Rudiy273 years ago
6 0

Answer:

f(x)=x5-x4+9

if x=2,. f(2)= 2⁵-2⁴+9

=32-16+9

=16+9

f(2) =25

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Find the common difference of the following sequence.​
Darya [45]

You have the correct answer. It is choice B) -1/4

=======================================================

Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

  • term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
  • term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
  • term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
  • term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

----------

To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

3 0
3 years ago
4(2+3c)=56<br>how woud i solve this Multi-step equation sow with all
grigory [225]
4(2+3c)=56\ \ \ \ |omiting\ the\ bracket\\\\&#10;8+12c=56\ \ \ \ |subtract\ 8\\\\12c=48\ \ \ |divide\ by\ 12\\\\&#10;c=4\\\\Solution\ is\ c=4.Answer here
3 0
3 years ago
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I need help with this question
IgorC [24]

The expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week

<h3>Dimensional Analysis</h3>

From the given question, we are told that Katrina drinks 0.5 gallons per day. In order to determine the total cup that she drank in a a week, we will have:

Total gallons in a week. = 0.5gallons/1 day * 7days/1

Total gallons in a week = 3.5 gallons

Since 1 gallon. = 16 cups, then;

3.5 gallons = 16cups/1gallon * 3.5gallons

3.5 gallons = 56 cups

Hence the expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week

Learn more on dimensional analysis here: brainly.com/question/18559676

#SPJ1

5 0
1 year ago
Write the rational number as a decimal. Show your work. 5/9 -3/8 -3/11.
Bad White [126]

I have memorized facts about fractions like these, so can tell you ...

\dfrac{5}{9}=0.5\overline{5}\\\\-\dfrac{3}{8}=-3\times 0.125=-0.375\\\\-\dfrac{3}{11}=-0.27\overline{27}

_____

A fraction with 9 as a denominator is a repeating 1-digit decimal with the decimal digit being the numerator of the fraction.

A fraction with 11 as a denominator is a repeating 2-digit decimal with the two digits being 9 times the numerator of the fraction.

1/8 = 0.125, so any multiple of 1/8 is that multiple of 0.125.

4 0
3 years ago
8-5(3x-7) i need help
MArishka [77]

Answer:

43 - 15x

is the answer

4 0
3 years ago
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