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fenix001 [56]
3 years ago
13

The first five terms of a sequence are 5, 4, 3, 2, 1. What is the explicit formula for the sequence?

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

6-n

Step-by-step explanation:

The first term, a is 5 and the common difference is - 1.

So an=a+(n-1)d, an=5+(n-1)(-1)=5-n+1=6-n. Answered by Gauthmath

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What are the solutions to the nonlinear equations below y=4x x^2 + y^2=17
wolverine [178]

Answer:

x = 1 and x = -1

Step-by-step explanation:

Next time, please separate the equations with a comma or semicolon.  Thanks.

We can substitute 4x for y in the quadratic equation x^2 + y^2=17:

x² + (4x)²=17.

Then x² + 16x² = 17, or

17x² = 17, or x² = 1.  There are two solutions:  x = 1 and x = -1.

8 0
4 years ago
Evaluate: <img src="https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D" id="TexFormula1" title="\sqrt[-3]{27}" alt="\sqrt[-3]{27}"
GenaCL600 [577]

Answer:

1/3 is the simplified form for given expression.

Step-by-step explanation:

Given that:

=\sqrt[-3]{27}

By simplifying:

Radical sign will be removed as follows:

= 27^{-1/3}

For removing the "-" sign from power, base will be inverted:

= (1/27) ^ {1/3}

27 can also be written as 3 * 3 * 3 = 3^3

So,

= (1/3^3)^{1/3}

= 1^{1/3} / 3^{3* 1/3}

By simplifying we get:

= 1/3

i hope it will help you!

6 0
3 years ago
There is a line that includes the point (1,10) and has a slope of 2. What is its equation in slope-intercept form?​
Dominik [7]

Answer:

y = 2x + 8

Step-by-step explanation:

You can input the slope and points into the point-slope equation and simplify:

y - 10 = 2(x - 1)

y - 10 = 2x - 2

y = 2x + 8

4 0
3 years ago
Read 2 more answers
One year on Venus is equivalent to 224.7 days on Earth. How many days on Earth, in decimal from, are equivalent to 9 ½ years on
Ivan

By using simple rule of three, a period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.

<h3>How many terrestrial days are equivalent time in Venus?</h3>

One year on Earth is equivalent to 365.3 days and one year on Venus is equivalent to 224.7 days, the equivalent terrestrial time of 9.5 years on Venus is found by simple rule of three:

x = 9.5 yr × (224.7 days / 1 yr)

x = 2134.65 days

A period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.

To learn more on simple rule of three: brainly.com/question/15209325

#SPJ1

6 0
2 years ago
TO BILL CUSTOMERS FOR WATER USAGE ONE CITY CONVERTS THE NUMBER OF GALLONS USED INTO UNITS THIS RELATIONSHIP IS REPRESENTED BY TH
Ksenya-84 [330]

Answer:

1. G IS A DEPENDENT VARIABLE

2.U IS THE INDEPENDENT VARIABLE

Step-by-step explanation:

G is a dependent variable because its values will rely on the values of U multiplied by 748. A dependent variable in most cases is isolated on one side of an equation ( mostly the left-hand side) and it value is affected by the values selected on the other side of the equation.

U is an independent variable because it stands on its own such that it does not rely on the behavior of another variable to determine its value/characteristic.Characteristic here i mean , U is freely selected without considering the behavior of other variable, thus it does not face any restrictions as compared to G.

4 0
3 years ago
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