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3 years ago

Determine the intervals on which the function is increasing, decreasing, or constant.

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

5 0

Hello: by graph
answer : 1

steposvetlana [31]3 years ago

3 0

Answer:

Increasing on (-4, 2) and (1, 3); Decreasing on (-2, 1).

Step-by-step explanation:

The function is said to be increasing function if as the value of x increases, then the value y also increases.

The function as a decreasing function if as the value of x increases, y decreases or vice-versa.

And the function is said to be constant if as x increases the value of y remains the same or vice-versa.

Here, Function is increasing from (-4, -4) to (-2, 4.5) and from (1, 0) to (2, 8)

and function is decreasing from (-2, 4.5) to (1, 0).

You might be interested in

the length of a rectangle is 5 inches more then the width. the area of the rectangle is equal to 2 inches more than 4 times the

Svet_ta [14]

P = 2(L + W)
L = W + 5
A = 4P + 2

P = 2(W + 5 + W)
P = 2(2W + 5)
P = 4W + 10

A = 4P + 2
A = 4(4W + 10) + 2
A = 16W + 42

A = L * W
A = W(W + 5)
A = W^2 + 5W

W^2 + 5W = 16W + 42
W^2 + 5W - 16W - 42 = 0
W^2 - 11W - 42 = 0
(W + 3)(W - 14) = 0

W - 14 = 0
W = 14 <==

L = W + 5
L = 14 + 5
L = 19 <==

P = 2(19 + 14)
P = 2(33)
P = 66

A = L * W
A = 19 * 14
A = 266

answer : length = 19, width = 14....perimeter = 66....area = 266

5 0

3 years ago

A track team has 4 runners on a relay team. If by coincidence each runner takes an average of 45.48 seconds to complete her leg

musickatia [10]

Answer:

181.92 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 45.48 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 45.48 = 181.92 seconds

Hence. the team finished the race in 72.4 seconds.

6 0

3 years ago

Find the value of n. M 12n = 12

gtnhenbr [62]

The value of n is 2, because if u do the multiplication then ur fine

8 0

3 years ago

0.63 x 1.8 solve with the steps to get the answer

Xelga [282]

Answer:

key the numbers into your calculator and execute the multiplication function

Step-by-step explanation:

Details vary with calculator model. Read your manual.

_____

There are many ways to work a problem of this nature by hand or in your head. The second attachment shows a couple of them.

Long multiplication

Essentially, every digit in one number needs to be multiplied by every digit in the other number, and the results combined according to their place value. The diagram on the left is a method that has you put the product of the top digit and the right digit into the box with "tens" and "ones" separated by a diagonal line.

After you've filled in the products of all the digits, you add them along diagonal "columns", putting the sum at the bottom or to the left. Any "carry" from the sum will add to the next "column" to the left or above. For example, the product digit 3 is arrived at by adding the 8, 2, and 3 along the diagonal. That sum results in a "carry" of 1 that gets added to the 4, 6, and 0 in the diagonal "column" above it.

As with any multiplication of decimals, the number of decimal digits in the product is the same as the total of the numbers of decimal digits in the multiplicands. (2+1=3)

Mental math

Both these numbers are multiplies of 9, so the product can be found different ways using that fact. The number 1.8 is 2 - 0.2, so the product can be found as ...

0.63 × 1.8 = 0.63 × (2 -0.2) = (0.63×2) - (0.63×0.2)

= 1.26 -0.126 = 1.134

Multiplication by 2 is easily done in your head. The subtraction of one 3-digit number from another may be a little harder to do, but is probably less work than the long multiplicatin described above.

_____

Alternative mental math

The product of one number and the other, as described above, is the product of each digit in one number with each digit in the other number, paying attention to place value.

With decimal points removed, the numbers are 63 and 18, and their product is ...

6·1 × 100 + (6·8 +3·1) × 10 + 3·8

= 600 +510 +24

= 1110 +24

= 1134

The the desired product is this value with the decimal point put 3 places from the right: 1.134

3 0

2 years ago

In a race in which eleven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?

viva [34]

Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)

For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)

Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways

8 0

3 years ago