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2 years ago

For 25 points

Mathematics

1 answer:

tigry1 [53]2 years ago

6 0

The required domain of the inverse function is x ≤ 0. Hence option D is correct.

f(x) = -x^2

<h3>What are functions?</h3>

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

Inverse of function f(x) = -x^2
y = -x^2
x = √-y
Now,
Inverse function of f(x) is √-x
Its domain is define as less than or equal to zero.

Thus, the required domain of the inverse function is x ≤ 0.

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Simplify<br> -4 1/5 (-13 1/10)<br> pls help

oksian1 [2.3K]

Answer:

55 1/50 or 2751/50

Step-by-step explanation:

Convert both expressions to improper form

Make their denominators the same

Multiply the numerators

Simplify the fraction if needed

4 0

3 years ago

What is 1/3. of 4/5 I need help

levacccp [35]

To do this multiply 1 by 4, then 3 by 5. 4 over 15 is your answer.

6 0

3 years ago

Read 2 more answers

The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.

Blizzard [7]

Answer: 90

Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

$t_{n}$ = a + ( n - d )

Where a is the first term

d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

$t_{4}$ = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12 ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation 2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

a = -6

Therefore , the 17th term of the sequence will be :

$t_{17}$ = a + 16d

$t_{17}$ = -6 + 16 (6)

$t_{17}$ = -6 + 96

$t_{17}$ = 90

Therefore : the 17th term of the sequence is 90

6 0

4 years ago

Select the correct vectors.

Paha777 [63]

In the case above, the correct vectors are:

<25.98, -15>.
<1.71, 4.7>.

<h3>What is the ship vector about?</h3>

The solution for the Ship's vector are:

Note that the Horizontal aspect = 30 cos 30

= 25.98.

For the Vertical aspect = 30 sin(-30)

= -15.

Hence it will be <25.98, -15>.

In regards to the current's vector:

The Horizontal aspect= 5 sin 20

= 1.71.

The Vertical aspect = 5 cos 20

= 4.7.

Hence it will be <1.71, 4.7>.

Therefore, In the case above, the correct vectors are:

<25.98, -15>.
<1.71, 4.7>.

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4 0

2 years ago

What is 2/4 + 4/5 - 7/10 ? Please help

Radda [10]

Make sure they have all common denominators
$\frac{2}{4} + \frac{4}{5} - \frac{7}{10}$

$\frac{2}{4} * \frac{5}{5} = \frac{10}{20}$

$\frac{4}{5} * \frac{4}{4} = \frac{16}{20}$

$\frac{7}{10} * \frac{2}{2} = \frac{14}{20}$

$\frac{10}{20} + \frac{16}{20} - \frac{14}{20}$

Add $\frac{10}{20} + \frac{16}{20} = \frac{26}{20}$
$\frac{26}{20} - \frac{14}{20} = \frac{12}{20}$

To simplify, you must find the largest common factor which 4
In $\frac{12}{20}$
12÷4=3 and 20÷4=5

The answer is $\frac{3}{5}$

7 0

3 years ago