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Tema [17]
3 years ago
10

Find a24 in the sequence, -8, 12, 32, 52, ...

Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

452

Step-by-step explanation:

nth term formula: A<em>n=</em>a + (n - 1)d

An=nth term

a= 1st term

n=the term# u need to find

d= common difference

common difference in our case is <em>32-12=20</em>

<em>20 is the common </em>

substitute this value into the nth term formula:

An=-8+(24-1)*20

An=-8+(24-1)*20

An=452

Hope this helps!

JulsSmile [24]3 years ago
4 0

You can see that two consecutive terms always differ by 20.

In other words, you generate the next term in the sequence by adding 20 to the previous one.

This implies the following structure:

\begin{array}{l}a_1=8\\a_2=a_1+20\\a_3=a_2+20=(a_1+20)+20 = a_1+2\cdot 20\\\ldots\\a_n = a_1+(n-1)\cdot 20\end{array}

In particular, this implies

a_{24} = a_1+23\cdot 20 = -8+460 = 452

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What is an equation of a line with the given slope and y-intercept.<br><br> m = 2, b = 6
Schach [20]

Answer:

Slope intercept form is y=2x+b

Step-by-step explanation:

5 0
3 years ago
Given a point A(-2,5), find the coordinates of a point B so that the line segment AB has each slope.
Kaylis [27]

Step-by-step explanation:

I understand this that we need to find a point B for each of a) to f).

remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.

a)

the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.

so, B = (-2 + 3, 5 + 2) = (1, 7)

b)

-2/3 means that either x or y have to decrease and the other to increase.

e.g. x increases by 3, y decreases by 2.

so, B = (-2 + 3, 5 - 2) = (1, 3)

c)

4 stands for 4/1.

so, x increases by 1, y increases by 4.

B = (-2 + 1, 5 + 4) = (-1, 9)

d)

similar to c) -3 stands for -3/1.

and similar to b) either x or y has to decrease and the other to increase.

e.g. x increases by 1, y decreases by 3.

B = (-2 + 1, 5 - 3) = (-1, 2)

e)

that means the y difference is 0. B has the same y coordinate.

e.g. B = (3, 5)

x can be any value.

the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.

f)

that means the x difference is 0. B has the same x coordinate.

e.g. B = (-2, 9)

y can be any value.

the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.

8 0
1 year ago
7.RP.A.1 3. If 1 1/2 cups of something fills 2/3 of a container, how many cups fill the container? ​
Andreas93 [3]

Answer:

Hi there!

Your answer is:

2 & 1/4 <u>OR</u> 2.25 cups fills the container!

Step-by-step explanation:

If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:

we know that <em>half</em> of 3/2s fills 1/3 of the container

To find half of 3/2, we multiply 3/2 by the <em><u>inverse</u></em> of 2, which is 1/2.

3/2÷2

3/2×1/2 = 3/4 ths

Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.

3/4+ 1&1/2 = 2 & 1/4

Check your work!

3/4 × 3 should equal 2&1/4 if we are correct

3/4 × 3/1 = 9/4.

Simplify!

9/4 = 2&1/4

That tells us that <u>we</u><u> </u><u>are</u><u> </u><u>correct</u><u>!</u>

Hope this helps!

3 0
3 years ago
Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu
Softa [21]

<u>Answer-</u>

<em>The polynomial function is,</em>

y=x^4-10x^3+38x^2-64x+40

<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))   ( ∵ (3-i) is the conjugate of (3+i) )

\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)

\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)

\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)

\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)

\Rightarrow y=(x^2-4x+4)(x^2-6x+10)

\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10

\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40

\Rightarrow y=x^4-10x^3+38x^2-64x+40

Therefore, this is the required polynomial function.


4 0
3 years ago
A line passes through the point (3,1) and has a slope of 2.<br><br> what is the y-intercept?
Valentin [98]
The y intercept would be -5
7 0
2 years ago
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