Find the surface area of the shape

The solution to the given functions are:

a) f(x) is an even function because f(−x) = f(x)

b) f(x) is an odd function because f(-x) = -f(x)

c) f(x) is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)

A function f is said to be an even function if f(−x) = f(x), for all x in the domain of f. A function f is said to be an odd function if f(−x) = −f(x), for all x in the domain of f.

a) The function is given as:

f(x) = 2x⁴ - x² - 4

f(-x) = 2(-x)⁴ - (-x)²  - 4

= 2x⁴ - x² - 4

Thus, it is an even function because f(−x) = f(x)

b) The function is given as:

f(x) = 2x³ + ¹/₋ₓ

f(-x) = 2(-x)³ + ¹/₍₋ₓ₎

= -2x - ¹/ₓ

Thus, it is an odd function because f(-x) = -f(x)

c) The function is given as:

f(x) = 2x² - 7x + 10

f(-x) = 2(-x)² - 7(-x) + 10

f(-x) = 2x² + 7x + 10

Thus, it is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)

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The perfect square trinomial is x^2 + 45/4.

To complete the expression as a perfect square trinomial, we need to add a term to the given expression, x^2 + 5, in such a way that it becomes a perfect square.

A perfect square trinomial can be written in the form (a + b)^2, where a and b are real numbers.

In this case, we can observe that the coefficient of x^2 is already 1, so the value of a will be 1.

To find the value of b, we take half of the coefficient of x, which is (5/2), and square it: (5/2)^2 = 25/4.

Now, we can add this term to the given expression:

x^2 + 5 + 25/4

Combining the terms, we get:

x^2 + 25/4 + 20/4

Simplifying further:

x^2 + 45/4

For the perfect square binomial, we can write the expression using the exponent notation as follows:

(x + (sqrt(45/4)))^2

Note that sqrt denotes the square root.

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Answer:

Second one

Step-by-step explanation:

Answer:

C. A 90° clockwise rotation about the origin

Answer:

29

Step-by-step explanation:

4 - 25i^2

4 - 25x(-1)

4 + 25 = 29

the ^2 means exponent 2

Answer:

42

Step-by-step explanation:

18/3= 6

6x7= 42

Answer:

42 with u need me to explain just say it in the comments :) hope this help

Step-by-step explanation:

Answer:

y+4=6(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=6(x-3)

y+4=6(x-3)

Answer:

B. Area = 256pi & Circumference = 32pi

Step-by-step explanation:

Area = pi r^2

A = pi (16)^2

A = 256pi

Circumference = 2pi r

C = 2(pi)(16)

C = 32pi

Its b In normal form of a straight line, the equation is given by where p is the perpendicular distance of the line from the origin and  is the angle between the perpendicular line and the positive direction of the x-axis.

Answer:

radius is 16

diameter is 32

Step-by-step explanation:

Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.

A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.

A radius is half of a diameter.

Answer:

radius = 16 cm

diameter = 32 cm

Step-by-step explanation:

radius = a straight line from the center of the circle to any point on the circle's circumference

We are given the radius (16 cm)

The diameter is equal to twice the length of the radius

So diameter = 16 * 2

16*2=32 so the length of the diameter is 32 cm

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

Answer:

Step-by-step explanation:

Center is 6, -2

Radius is 7

(x-6)^2 + (y + 4)^2 = 7^2

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Answer:

Answer is 3.2

Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2

Step-by-step explanation:

0/1 , 1/1

Multiply there denominators with any number...

0/1×60=0/60

1/1××60=60/60

Now,

You have many choices...

1/60,10/60,30/60,2/60,5/60........so on....

Answer:

Step-by-step explanation:

Perpendicular bisector passes through the midpoint of the line.

The midpoint is:

Slope of the line:

The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.

Use point-slope form and point (0, 5) to find the equation of the line:

Correct option seem B as others don't match ours

Answer:$11,340

Step-by-step explanation:

If Thurston deposited $8400 into a savings account that earns 2.5% simple

interest each year calculated annually. What is the future value of Thurston's  account after 14 years will be is C. $11,340

Using this formula

Future value=Principal+[(Principal ×Rate ×Time)÷100]

Where:

Principal=$8,400

Rate=2.5%

Time=14 years

Let plug in the formula

Future valve=$8,400+[($8,400×2.5%×14)÷100]

Future valve=$8,400+($294,000÷100)

Future valve=$8,400+$2,940

Future valve=$11,340

Inconclusion if Thurston deposited $8400 into a savings account that earns 2.5% simple  interest each year calculated annually. What is the future value of Thurston's  account after 14 years will be is C. $11,340

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Answer:

260*2

540*1

180*3

135*4

108*5

Step-by-step explanation:

Answer:

D

The numbers are already in order so you don't need to do anything

Answer:

its b for me but d for yall

Step-by-step explanation:

all you do is count up hope this helps can u mark me brainlest

Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).

Answer:

C) y = -5x + 32

Step-by-step explanation:

Only choice where the all the x values equal the y values

Answer:

n = 15

Step-by-step explanation:

106 = 1 + 7n

1-        1-

-------------------

105 = 7n

÷7       ÷7

------------------

15 = n

your goal is to get the variable by itself

Answer:

294 cm^2

Step-by-step explanation:

This question is asking for the surface area of all 6 sides of the Shoe box. Hence we will have to multiply all the dimensions with each other twice to get the surface area of all the sides.

9x10x2=180

9x3x2=54

10x3x2=60

Adding them together we get 294 cm^2.

Answer:

-20

Step-by-step explanation:

Complete the square to find the vertex of this parablola x^2-8x-y-4=0   {the second one of -20; so 4,-20}

Step-by-step explanation:

The answer would be (4,-20)

Fill in 4 and -20

Answer: 8.20 miles I believe

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

Answer:

45000

Step-by-step explanation:

put the equation like this

     1000

   x      45

And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by

Answer:45000

Step-by-step explanation:

so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest