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4 years ago

Which function describes the arithmetic sequence shown?

Mathematics

1 answer:

Lynna [10]4 years ago

8 0

f(x)= -2x-3

Step-by-step explanation:

Step 1:

Let the sequence given here is -5, -7, -9, -11, -13 ......

Here the first term (a₁) of sequence is -5

And the common difference between the numbers in the sequence is

d= (-7-(-5)) = -7+5 = -2

Let the number of terms be x

Step 2;

To find the sequence function basic arithmetic sequence formula is

aₙ = a₁ + d( x-1)

Applying the values we get

f(X) = -5 + ((-2)(X-1))

on simplification

f(X) = -5 + (-2X+2)

f(X)= -5+2-2X

f(X)= -3-2X

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Mariulka [41]

Answer:

$\text{Part of poster board painted by May}=\frac{1}{2}$

$\text{Part of poster board painted by Jared}=\frac{1}{2}$

Step-by-step explanation:

We have been given that painted 4 out of 8 equal part of a poster board blue.

Let us represent this information in a fraction, where numerator is 4 and denominator is 8 as:

$\text{Part of poster board painted by May}=\frac{4}{8}$

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We are also told that Jared painted 2 out of 4 equal parts of a same-size poster board.

$\text{Part of poster board painted by Jared}=\frac{2}{4}$

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3 years ago

What is the derivative of 3x^5?

Ierofanga [76]

Answer:

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Step-by-step explanation:

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3 years ago

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goblinko [34]

Answer:

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3 years ago

Read 2 more answers

A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33.

Naya [18.7K]

Answer:

The smaller number is 4√2 and the larger number is (4√2 + 1).

Step-by-step explanation:

Let the two numbers be x and y, where y is the larger of the two numbers.

Since y is the larger number, it is one more than the smaller number. So:

$y=x+1$

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

$-2x+y^2=33$

Substitute:

$-2x+(x+1)^2=33$

Solve for x. Square:

$-2x+(x^2+2x+1)=33$

Simplify:

$x^2+1=33$

Subtract one from both sides:

$x^2=32$

And take the square root of both sides:

$x=\pm\sqrt{32}=\pm 4\sqrt{2}$

Since y is positive, we can ignore the negative case. So, the smaller number is:

$x=4\sqrt{2}\approx5.66$

And the larger number is:

$y = 4\sqrt{2} + 1 \approx6.66$

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3 years ago

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