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Flura [38]
3 years ago
15

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

C

Step-by-step explanation:

an arithmetic sequence is a sequence in which you use addition/subtraction in order to achieve each term. Choice A alternates between the negative and positive therefore you can tell that it's multiplying each time, and the same goes for D, those two are incorrect. B is incorrect because you cannot add/subtract a number each time to get the next term. C, if you attempt to find the difference between in each term in choice C you will succeed and find that each time you add 3/2 each time to get the next term.

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Which option is an even function?
Grace [21]

The correct answer is option D. Which is the even function is f (x) = x⁴.

<h3>What is an even function?</h3>

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

To know more about even functions follow

brainly.com/question/2284364

#SPJ1

4 0
2 years ago
Need answer urgently please will give thanks and mark Brainliest
babymother [125]

Answer:

D

Step-by-step explanation:

sqrt(7) = about 2.6

and that divided by 2 is

0.8  which means D is the Answer

8 0
2 years ago
jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smalle
Amanda [17]
(x - 8)² = 144

Take square root of both sides

(x - 8) = √144

x - 8 = 12

x = 12 + 8

x = 20

Original lawn is = 20 feet * 20 feet square  
7 0
3 years ago
What is the slope of the line through the points (1, 3) and (-4, 3)?
Olin [163]

Answer:

3-3 -4-3=0

Step-by-step explanation:

just divide  3-3 and -4-1 and u get  your  answer

4 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
AlexFokin [52]

An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.

<h3>What is a quadratic equation?</h3>

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}

From the information provided, we have the following values;

0 = -3x² - 2x + 6

Where:

a = -3

b = -2

c = 6

Substituting the values into the quadratic formula, we have;

x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}

Read more on quadratic equation here: brainly.com/question/4053652

#SPJ1

4 0
1 year ago
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