Domain definition in math

Answers

Answer 1
Answer: All the values that go into a function.

The output values are called the range.

Domain → Function → Range

Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the domain is simply those values {1,2,3,...}

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Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.The domain of the function is .


The range of the function is all real numbers.


The vertex of the function is .


The function has two x-intercepts.


The function is increasing over the interval (, ∞

Answers

The correct answer for the question that is being presented above is this one: "The range of the function is all real numbers; The function has two x-intercepts. The statements about the graph of the function f(x) = 2x2 – x – 6 that are true includes: The range of the function is all real numbers; The function has two x-intercepts.

we have

f(x) = 2x^(2) -x-6

using a graphing tool

see the attached figure

This is a quadratic equation (vertical parabola) open up

The vertex is a minimum---------> Vertex (0.25,-6.125)

The domain of the function is all real numbers-------> interval (-∞,∞)

The range of the function is the interval----------> [-6.125,∞)

The function has two x-intercepts-----> (-1.5,0) and (2,0)

The function is increasing over the interval-----> (0.25,∞)

The function is decreasing over the interval-----> (-∞,0.25)  

Please help me with this question

Answers

Answer:

C

180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.

Solve the triangle.A = 33°, a = 19, b = 14
Select one:
a. B = 23.7°, C = 143.3°, c ≈ 23.3
b. B = 23.7°, C = 123.3°, c ≈ 17.5
c. Cannot be solved
d. B = 23.7°, C = 123.3°, c ≈ 29.2

Answers

Using the sine law to find the value of angle B:

a / sin A = b / sin B
19 / sin 33 = 14 / sin B

B = arcsin (14 * sin 33 / 19 )
B = 23.66° = 23.7°

Since the sum of all interior angles of a triangle is 180
°, we can solve for angle C like so:

C = 180
° - 23.7° - 33°
C = 123.3°

Using sine law to solve for side c:

a / sin A = c / sin C
c = (a*sin C)/sin A
c = 29.157 = 29.2

Therefore, among the choices, the correct answer is D.

Answer:

D.

Took the test

B=23.7 degrees

C=123.3 degrees

c=29.2

What is the estimate of 93.19?

Answers

I think the estimate of 93.19 would just be 93.

Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?

Answers

When Ivan divides his coins into groups of 2 nickels and 1 quarter, worth $0.35, he find that he has $8.75/$0.35 = 25 such groups.

Ivan has 25 quarters and 50 nickels.

Answer:

  • The number of nickels coins are : 50
  • and the number of quarter coins are: 25

Step-by-step explanation:

Let n denote the number of nickels.

and q denote the number of quarters.

1 nickel=0.05 dollar

and 1 quarter=0.25 dollar

Hence, we have:

0.05n+0.25q=8.75

( Since, Ivan has $8.75 in nickels and quarters in his desk drawer )

On multiplying both side of the equation by 100 we have:

5n+25q=875

on dividing both side of the equation by 5 we have:

n+5q=175-----------------(1)

Also, n=2q---------------(2)

( Since, the number of nickels is twice the number of quarters )

Hence, on putting equation (2) in equation (1) we have:

2q+5q=175

i.e.

7q=175

i.e.  q=25

and on putting the value of q in equation (2) we have:

n=50

a square piece of paper is folded in half vertically. if the resulting figure has a perimeter of 12 cm, what was the area of the original square?

Answers

The area of original square is 16 centimetre square.

What is an area?

The area is the region bounded by the shape of an object.

Let consider 'a' as the side of the original square.

When it fold vertically then the top and bottom sides will be half of the original side.

The perimeter of folded square = 12 cm

i.e.  (2* 0.5a)+ 2a =3a =12 cm

Then, a=4cm

The area of original square is given by a^2.

Then, a^2 = 4*4 =16

Hence, 16 centimeter is the area of the original square.

To learn more about area, use the link given below:

brainly.com/question/27683633

#SPJ2

the area of the original square would have been 16 centimeters squared.