1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Over [174]
3 years ago
10

Determine the domain on which the following function is increasing. Will give brainlist if correct

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer: D : x ∈ (1, ∞)

Step-by-step explanation:

for a function  y = f(x)

The range is the set of possible values of y.

The domain is the set of the possible values of x.

We want to find the domain on which the function is increasing.

A function is increasing if, reading from left to right, the "y" value of the function increases (or the graph goes upward)

Then we need to see on which point the graph starts going up. We can see that this happens at the vertex of the parabola, at x = 1, and it keeps increasing infinitely.

then we can write this domain as:

D : x ∈ (1, ∞)

You might be interested in
If sin(y°) = cos(x°), which of the following statements is true?
Firdavs [7]

Answer:

<u>y = w and ΔABC ~ ΔCDE</u>

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90°  ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

<u>∴ ∠x = ∠z </u>

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

<u>∴ ∠y = ∠w</u>

So, for the triangles ΔABC and ΔCDE

  • ∠A = ∠C  ⇒ proved by ∠y = ∠w
  • ∠B = ∠D  ⇒ Given ∠B and ∠D are right angles.
  • ∠C = ∠E  ⇒ proved by ∠x = ∠z

So, from the previous  ΔABC ~ ΔCDE by AAA postulate.

So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>

4 0
3 years ago
Read 2 more answers
The table shows transactions in a checking account
Yuki888 [10]

Answer:

i) number of transactions for the month of January = 4

 number of transactions for the month of February = 4

 number of transactions for the month of March = 4

 number of transactions for the month of April = 4

ii) Mean of four months  = -495.7 /4 = -123.93

Step-by-step explanation:

i) number of transactions for the month of January = 4

 number of transactions for the month of February = 4

 number of transactions for the month of March = 4

 number of transactions for the month of April = 4

ii)     January              February              March            April

         -38.50                 250.00               -14.00           -86.80

         126.30                -135.20                 99.00          -570.00

         429.40                  35.50                -82.70           100.00

        -265.00                 -62.30                 -1.50           -280.10

Total  252.20                  88.20                 0.80            -836.9

Total of four months  = 252.2 + 88.20 + 0.80 - 836.9  =  -495.7

Mean of four months  = -495.7 /4 = -123.93

6 0
3 years ago
Rosetta listed her assets and liabilities on a personal balance sheet.
avanturin [10]

Answer:

$50,000

Step-by-step explanation:

The computation of the amount received after paying off the mortgage is shown below

= Value of the house - mortgage amount

= $150,000 - $100,000

= $50,000

By deducting the mortgage amount from the value of the house we can get the amount received and the same is shown in the computation part

Since in the question it is given that the Rosetta sells her house and paid off mortgage so only these two items are considered and others are to be ignored

6 0
4 years ago
Read 2 more answers
Draw an equilateral triangle of perimeter 10 centimetres.​
3241004551 [841]

Answer:

See attachment for triangle

<em></em>

Step-by-step explanation:

Given

Shape: Equilateral triangle

Perimeter = 10cm

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

Perimeter = 3 * Length

So, we have:

10= 3 * Length

Solve for Length

Length = \frac{10}{3}

Length = 3.33

<em>See attachment for triangle</em>

4 0
3 years ago
Darcy built the dollhouse shown. What is the volume of the first floor? What is the Volune of the attic space?
BigorU [14]
The volume of the first floor is 9000 inches cubed.
20*45*10=9000
The volume of the attic is 360 inches cubed.
8*45=360
You don't have to divide by two as there are two triangular prisms.
6 0
3 years ago
Other questions:
  • The graph of the equation y = x2 + 1 is shown. Which equation will shift the graph up 7 units?
    11·2 answers
  • Can you answer this question please
    12·2 answers
  • the formula for finding the area of a triangle is a equals 1/2 x base height a triangle has height 12 in an area of 54 in square
    11·1 answer
  • Factor this expression completely, then place the factors in the proper location on the grid.
    13·2 answers
  • Vivian is making keychains with beads she wants each keychain to have the same number of beads she has 12 blue beads and 21 yell
    6·2 answers
  • Armstrong High School decided to purchase 30 lab coats. One lab coat regularly costs $18.50. If a 15% discount is given on the t
    8·1 answer
  • Someone PLEASEE HELP I NEED HELP ASAPP :((
    7·2 answers
  • It has long been reported that human body temperature follows a normal distribution with a mean of 98.6 degrees Fahrenheit. Ther
    9·1 answer
  • Cot^2x+1 please simplify
    11·1 answer
  • Least the containers from least to greatest capacity; 1.73, 2.061, 1.59, 2.1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!