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3 years ago

In how many ways can the letters in the word 'Illinois' be arranged?

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

The numbers of ways to permute letters of the word Illinois if the two Ls must be consecutive is 7.

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The function f(x) = –Two-sevenths (five-thirds)x is reflected over the y-axis to create g(x). Which points represent ordered pai

Marta_Voda [28]

The values of the function if the function f(x) is reflected over y-axis is g(x) = 10/21x

<h3>Reflection of coordinates</h3>

Reflection is a transformation technique that changes the position of an object on an xy-plane.

If the function f(x) is reflected over y-axis, the resulting function is y = f(-x). Given the following function;

f(x) = -2/7(5/3)x

This can also be written as;

f(x) = -10/21 x

Replace x as -x

f(-x) = -10/21(-x)

f(-x) = g(x) = 10/21x

Hence the values of the function if the function f(x) is reflected over y-axis is g(x) = 10/21x

Learn more on reflection here; brainly.com/question/26494295

#SPJ1

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2 years ago

Which fraction has the greatest value 1/3 2/3 2/9 2/9

sdas [7]

2/3 has the greatest Value

3 0

3 years ago

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Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards

svet-max [94.6K]

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step explanation:

Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards

Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = $(\text{Length+width})$

Distance run by Jacob = 50 + 120 = 170 yards

Ali runs through the middle of the field diagonally on a straight line.

Therefore, distance covered by Ali = $\sqrt{\text{length}^{2}+\text{width}^{2}}$

= $\sqrt{(50)^{2}+(120)^{2}}$

= $\sqrt{2500+14400}$

= $\sqrt{16900}$

= 130 yards

Now difference between the distance covered by Jacob and Ali

= 170 - 130

= 40 yards

Therefore, Jacob ran 40 yards more than Ali.

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3 years ago

How does the y-intercept appear in these three representations: table,equation,and graph?

devlian [24]

In a table it's EXAMPLE: Cars/Drivers the cars is x and the drivers is y(y-intercept). In an equation, EXAMPLE using y=mx+b the b is the y-int., and in a graph it is (x,y) the y being the y-int.

6 0

3 years ago

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Given f(x) = x^2 – 3x – 2, what is f(5)?

miskamm [114]

Answer:

$f(5)=8$

Step-by-step explanation:

Given function: $f(x)=x^2-3x-2$

To find $f(5)$ , simply input $x=5$ into the function:

$\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}$

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2 years ago

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