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2 years ago

An arithmetic sequence has a first term of 3 and a fifth term of 31 what is it’s second term

Mathematics

2 answers:

atroni [7]2 years ago

7 0

Answer:10

Step-by-step explanation:

Adds 7 each time

mrs_skeptik [129]2 years ago

6 0

31 - 3 = 28

Going from first term to fifth term is 4 increases.

28 ÷ 4 = 7

This means we have a common difference of 7.

Sequence is 3, 10, 17, 24, 31

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5x + 2y = 3 2x+3y=-1 Solve

professor190 [17]

Answer:

x = 1

y = -1

Point = (1,-1)

Step-by-step explanation:

2x + 3y = -1 = y = -2/3 - 1/3

5x + 2(-2/3 - 1/3) = 3

5x - 1 1/3 - 2/3 = 3

5x - 2 = 3

+2 +2

5x = 5

x = 1

2(1) + 3y = -1

2 + 3y = -1

-2 -2

3y = -3

y = -1

3 0

2 years ago

Question 15 of 43

Andrews [41]

Answer:

Option A

Step-by-step explanation:

$\frac{12}{25} \times \frac{11}{24} \times \frac{10}{23} \times \frac{9}{22}$

we start with 12 red marbles out of 25 marbles, that's the probability for the first.

in the second step we have one red marble less, wich also means one marble less overall

and so on

$\frac{12 \times 11 \times 10 \times 9}{25 \times 24 \times 23 \times 22}$

$= \frac{11880}{303600}$

can be reduced by 1320 (step by step) to

$\frac{9}{230}$

6 0

2 years ago

Write the function a a product of linear factor by grouping or using the x method or a combination of both

Sladkaya [172]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}$

<h3>Step-by-step explanation:</h3>

Given function to us is :-

$\bf \implies g(x) = x^2 - 9$

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

$\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup$

I have also attached the graph of x²-9.

<h3>Hence option A is correct .</h3>

4 0

2 years ago

2. G.GPE.7 Consider ∆ABC below. What is the perimeter of ∆ABC? * A. 16.9 B. 12.9 C. 18.6 D. 17.4

dsp73

Answer:B

Step-by-step explanation:

3 0

1 year ago

Please Help! Will Give A Brainliest!!

Ray Of Light [21]

A) because when they are equal it means that their y has the same value, which means their intersection point.

B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2
y1 = 4^-(-2) = 4^2 = 16
y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2 => so x=-2 isn't our answer
-------------------------------------------------------
x = -1
  y1 = 4^-(-1) = 4^1 = 4
y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2   =>   so our answer will be x = -1
-------------------------------------------------------
x = 0
  y1 = 4^-(0) = 4^0 = 1
y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2 => so x=0 isn't our answer
--------------------------------------------------------------
x = 1
  y1 = 4^-(1) = 4^(-1) = 1/4
y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2 => so x=1 isn't our answer
--------------------------------------------------------------
x = 2
  y1 = 4^-(2) = 4^(-2) = 1/16
y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2 => so x=2 isn't our answer

Which means that our final answer is: x=-1

C) You should draw both graphics, and their intersection point (x) will be the answer.

I hope it helped.

6 0

3 years ago