What type of function maps an input onto itself?a. opposite function b. negative function c.identity function d. reflective function

Answers

Answer 1
Answer: A function which maps an input to itself, has the following formula:

f(x)=x.

The output is exactly equal to the input, for example:

f(5)=5, f(18)=18 .....



The function f(x)=x is called the "identity function"


Answer: C

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I dont get this.. Can anyone help on this... I appreciate it.

Answers

7.(f(4 + h) - f(4))/(h) = 8
   h((f(4 + h) - f(4))/(h)) = h(8) \nf(4 + h) - f(4) = 8h
   (h + 4)^(2) + (4)^(2) = 8h \n(h + 4)(h + 4) + 16 = 8h \nh(h + 4) + 4(h + 4) + 16 = 8h
   h(h) + h(4) + 4(h) + 4(4) + 16 = 8h \nh^(2) + 4h + 4h + 16 + 16 = 8h
   h^(2) + 8h + 32 = 8h \nh^(2) + 32 = 0
   h = \frac{-(0) \± \sqrt{(0)^(2) - 4(1)(32)}}{2(1)}
   h = \frac{0 \± \sqrt{(0)^(2) - 4(1)(32)}}{2}
   h = (0 \± √(-128))/(2)
   h = (0 \± 8i√(2))/(2)
   h =(8i√(2))/(2)
   h = 4i√(2)

8.f(x) = (x^(2) + 4x - 32)/(x - 4) \nf(x) = (x^(2) + 8x - 4x - 32)/(x - 4) \nf(x) = (x(x) + x(8) - 4(x) - 4(8))/(x - 4) \nf(x) = (x(x + 8) - 4(x + 8))/(x - 4) \nf(x) = ((x - 4)(x + 8))/(x - 4) \nf(x) = x + 8

g(x) = x(2x - 5) - 2(x^(2) - 3x - 4) \ng(x) = x(2x) - x(5) - 2(x^(2)) + 2(3x) + 2(4) \ng(x) = 2x^(2) - 5x - 2x^(2) + 6x + 8 \ng(x) = 2x^(2) - 2x^(2) - 5x + 6x + 8 \ng(x) = x + 8

The functions are equivalent.

9.Slope: 3 \nDerivative: -8x + 11 \n3 = -8x = x + 11 \n-9x = 11 \n(-9x)/(-9) = (11)/(-9) \nx = -1(2)/(9) \nf(x) = -4x^(2) + 11x - 2 \n f(x) = -4(-1(2)/(9)) + 11(-1(2)/(9)) - 2 \nf(x) = 4(8)/(9) - 13(4)/(9) - 2 \nf(x) = -8(5)/(9) - 2 \nf(x) = -10(5)/(9) \ny - y_(1) = m(x - x_(1)) \ny - (-11(4)/(9)) = 3(x - (-1(2)/(9)) \ny + 11(4)/(9) = 3(x + 1(2)/(9)) \ny + 10(5)/(9) = 3(x) + 3(1(2)/(9)) \ny + 10(5)/(9) = 3x + 3(2)/(3) \ny = 3x - 6(8)/(9)



Amelia has a triangular kite with an area of 30 square inches and a height of 6 inches. How long is the base of the kite?

Answers

Area of triangle = 0.5 * base * height 
30 = 0.5 * 6 * base 
30 = 3 * base 
so , base = 10 inch 

Answer:

Draw a vertical line to break the kite into two equal triangles with a base of 36 and a height of 15. Use the formula A = 1

2

bh to find the area of each. The sum of the areas is the area of the kite.

Step-by-step explanation:

boom

Find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4

Answers

Answer:

  x^2/4 +y^2/9 = 1

Step-by-step explanation:

The standard form is ...

  (x -h)^2/a^2 +(y -k)^2/b^2 = 1

for an ellipse centered at (h, k) with semi-axis measures "a" and "b". The largest of "a" or "b" is the semi-major axis; the smaller, the semi-minor axis.

Here, the major axis is vertical, so b > a.

Since the center is not given, we assume it is the origin: h = k = 0. The semi-axes are a=2, b=3, so the equation is ...

  x^2/4 +y^2/9 = 1

Wich expression defines the given series for seven terms? 8+13+18+.......

Answers

Answer: a+6d will defines the series for seven terms i.e. 38.

Step-by-step explanation:

Since we have given that

8+13+18+......

Here, a = first term = 8

d = common difference is given by

a_2-a_1\n\n=13-8\n\n=5

So, we need to find the seven terms:

So, here n = 7

So, it becomes,

a_7=a+(n-1)d\n\na_7=8+(7-1)5\n\na_7=8+6* 5\n\na_7=8+30\n\na_7=38

Hence, a+6d will defines the series for seven terms i.e. 38.

you're just adding 5 
example
8+5= 13
13+5=18
18+5=23
23+5=28
28+5=33
and so on :)

A video game sells at Arnolds for $14.99. Arnolds marks the game up at 40% of the selling price. The cost of the video game to Arnold is:

Answers

what you do is take 14.99 x 0.40 and that should give you your answer 

Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertisements she will receive in the next 100 e-mails?

Answers

Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

What is the probability?

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

If Josephine received 7 advertisements out of 10 e-mails, then we can say that the probability of receiving an advertisement in a single e-mail is 7/10 or 0.7.

Assuming that the probability of receiving an advertisement in an e-mail remains the same for all e-mails, we can use this probability to make a prediction about the number of advertisements she will receive in the next 100 e-mails.

The expected number of advertisements in 100 e-mails can be calculated by multiplying the probability of receiving an advertisement in a single e-mail by the total number of e-mails:

Expected number of advertisements = probability of an advertisement x total number of e-mails

= 0.7 x 100

= 70

Therefore, based on the given information, we can predict that Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

To learn more about the probability;

brainly.com/question/11234923

#SPJ3

She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads