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Elanso [62]
3 years ago
6

1) Define onto function. 2) Find k if f.f(k) = 5 where f (k) = 2k – 1​

Mathematics
2 answers:
luda_lava [24]3 years ago
5 0

Answer:

3

Step-by-step explanation:

2k-1=5

>2k=5+1=6

>k=3

Mama L [17]3 years ago
3 0

Answer:

1)

An onto function is a function where it's range is the term in that function.

{ \sf{if \: function \: is \: x \: to \: y}} \\ { \sf{then \: range \: of \: function \: is \: y}} \\ i.e \:  \: f(x) = y

It is given by formula:

{ \boxed{ \sf{ {x}^{y} -  {}^{x} c _{1}(n - 1) {}^{y}  +  {}^{x} c _{2} (x - 2) {}^{y} + ..... {x}^{n}   }}}

2).

f(k) = 2k - 1 \\ but \: f(k) = 5 \\ 2k - 1 = 5 \\ 2k = 1 + 5 \\ 2k = 6 \\ k = 3

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Which inequality best models the situation if variable h is the number of hours Miguel could practice the piano each week? Migue
Irina18 [472]
H is the number of hours Miguel could practice the piano each week.

Miguel goal is to practice the piano more than x hours per week.

h >= x

hence depending on the amount ot hours needed to practice each week, you have to set them to be the minimum, and any other larger quantity satisfies the proposition as well.
3 0
4 years ago
The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.
Galina-37 [17]

The equation that could be used to determine the volume of Box B is (B = 14.325cm³ - 5.61cm³) and the volume of Box B is 8.715cm³.

This question is incomplete, the complete question is:

The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.

a. Let B represent the volume of Box B in cubic centimeters. Write an equation that could be used to determine the volume of Box B.

b. Solve the equation to determine the volume of Box B

<h3>What is volume?</h3>

Volume is simply the amount of space that is enclosed within a container.

Given that;

  • Sum of the volume of two rectangular prisms A&B = 14.325cm³
  • Volume of Box A = 5.61cm³

a)

Let B represent the volume of Box B in cubic centimeters. The equation that could be used to determine the volume of Box B will be;

Sum of the volume of two rectangular prisms A&B = Volume of Box A + Volume of Box B

14.325cm³ = 5.61cm³ + B

B = 14.325cm³ - 5.61cm³

Hence, The equation that could be used to determine the volume of Box B is B = 14.325cm³ - 5.61cm³

b)

To determine the volume of Box B, we solve the equation.

B = 14.325cm³ - 5.61cm³

B = 8.715cm³

Hence, the volume of Box B is 8.715cm³.

Learn more about volume rectangular prism here: brainly.com/question/9796090

#SPJ1

6 0
2 years ago
Gardener has 780 plants. He wants to plant there in such a way that the number of rows and the numbers of columns remains same.
AleksAgata [21]

Answer:

<em>Gardener will need 4 more plants.</em>

Step-by-step explanation:

Gardener has 780 plants and wants to plant them in an array of n rows and n columns.

The number of plants needed to do that is:

n*n=n^2

He actually has 780 plants, thus it should occur:

n^2=780

Taking the square root:

n=27.9

Since n needs to be an integer, we round up n to get

n=28

But 28^2=784, 4 more than the actual number of plants, thus:

Gardener will need 4 more plants.

Note: There are other possible results for n. If we set n=29, then n^2=841 and Gardener would need 841-780=61 more plants, but the question asked for the minimum number of plants.

5 0
3 years ago
A triangular bandana has an area of 54 square inches. The height of the triangle is 6 3/4 inches. What is the legnth of the tria
Dima020 [189]
16 inches
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54*(4/27)
8 = 1/2 length
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7 0
3 years ago
Two lines, E and F, are represented by the equations given below.
shusha [124]
Although you have not included the statements about the solution to the set of the given equations, I can explain you what happen with that system.

You can arrive to the same conclusion by any method of solution of systems that you like.

The quickest in this case, is to multiply the equation of the lIne F by 5.

That leads to: 5 (x + y) = 5(8)

⇒ 5x + 5y = 40.

Now you can realize that the two representations (equations) correspond to the same line.

That means that there are infinite solutions, this is infinity values of x and y meet both equations.

If you graph line E and line F they overlap in the entire domain, so the graphing method also tells you that you cannot find one solution but infinite soluttions.

6 0
3 years ago
Read 2 more answers
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