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What are the four functions that are increasing on the interval

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Answer:

Tbh i don’t really know

Step-by-step explanation:

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2 years ago

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What is the solution to the following system of equations:<br><br>7x+2y=24<br>8x+2y=30<br>

GuDViN [60]

Answer:

7x +2y =24 --------- (i)

8x +2y= 30 ---------(ii)

Subtracting eqn. (i) & (ii)

7x +2y =24

8x +2y= 30

- - -

___________

-x = - 6

Putting the value of x in eqn. (i)

7*6 +2y =24

42 +2y =24

2y =-18

y = - 9

Hence, x=6 and y= - 9

Hope it helps!!

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2 years ago

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

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3 years ago

2 lines are not parallel, how many solutions are there

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Either one: the two line have a point in common, or infinite: they are the same line.

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Which statement explains the difference between a line and a segment?

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