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
Hunter-Best [27]
3 years ago
15

If f(x) = x2 + 1, find f(a + 1). a2+2 a2+a+1 a2+ 2a + 2

Mathematics
1 answer:
torisob [31]3 years ago
7 0

Answer:

a^2 + 2a + 2

Step-by-step explanation:

replace x with (a +1) everywhere in the equation

f(a+1) = (a+1)^2 + 1

➡

a^2 + 2a + 1 + 1

You might be interested in
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the
dalvyx [7]

To solve the problem we must know about quadratic equations.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

The breadth of the rectangle is 200 ft, while the length is 210 ft.

<h2>Explanation</h2>

Given to us

  • Area of the parking lot = 42,000 ft²
  • Perimeter of the parking lot = 820 ft

<h3>Area of the parking lot</h3>

Area of the parking lot = Area of the rectangle

42,000 ft² = Length x Breadth

Solving for L,

42,000 = L \times B\\\\&#10;L = \dfrac{42,000}{B}

<h3>Perimeter of the parking lot</h3>

Perimeter of the parking lot = Perimeter of the rectangle

820 ft. = 2(Length + Breadth)

820 ft. = 2(L+ B)

2(L+ B) = 820\\\\&#10;(L+B) = \dfrac{820}{2}\\\\&#10;(L+B) = 410

Substituting the value of L,

(L+B) = 410\\\\&#10;(\dfrac{42,000}{B}) +B = 410\\\\&#10;42000 + B^2 = 410B\\\\&#10;B^2 -410B +42000 = 0

<h3>Quadratic Expression</h3>

Solving the quadratic Expression,

B^2 -410B +42000 = 0\\\\&#10;(B-210)(B-200)=0

Equation the factors against zero,

B-210=0

B = 210

B-200=0

B = 200

Hence, the breadth of the rectangle is 200ft, while the length is 210 ft.

Learn more about Quadratic Expression:

brainly.com/question/10025464

4 0
2 years ago
There is multiple questions here please help me
Colt1911 [192]
1. a. Unique Solution

2. a. Unique Solution

3. b. No Solution

4. c. Infinitely Many Solutions

5. b. No Solution
4 0
3 years ago
Read 2 more answers
1. which Theorem explains why the circumcenter is equidistant from the vertices of a triangle?
Ber [7]
1- The circumcenter refers to the central point or focal point of the circle which experiences the three vertices of the triangle. Review that all radii of a circle are congruent, i.e. equivalent to each other. So this is the reason the circumcenter is equidistant from the vertices of the triangle. The perpendicular bisectors are used to form the circumcenter, so the concurrency of perpendicular bisector theorem  also explains.
2- The picture is not given.
3-The answer is right triangle. 
In a right triangle, midpoint of hypotenuse is at equal distance from all the 3 vertices. So that is focal point of the circle going through all its 3 vertices. A right-angled triangle is a triangle which have one right angle. The connection between the sides and points of a right triangle is the reason for trigonometry. The side which lies as the opposite to the right angle is known as the hypotenuse. 
4- The coordinates of the circumcenter of ABC with the vertices A(0,0), B(3,0), and C(3,2) is (1.5,1) 
For the given triangle, vertex A lies on starting point; Vertex B lies on x-axis; and vertex C lies on hold parallel to y-axis. ==> AB along x-axis and BC opposite to AB. So the triangle ABC is a right triangle with its vertex B = 90 deg and AC has the hypotenuse. For a right triangle its circumcentre is the midpoint of hypotenuse. Consequently here the midpoint of AC = (1.5, 1), is the circumcenter of the triangle ABC.
4 0
3 years ago
Read 2 more answers
The product of twice a number and six is the same as the difference of eleven times the number and 6/5 . Find the number
Rom4ik [11]

Answer:

-6/5

Step-by-step explanation:

solution;

let,the number be x,

product of <u>twice</u><u> </u><u>of</u><u> </u><u>x</u> and <u>six</u> = the <u>difference </u>

<u>difference of eleven times x and 6/5</u>

or, (2x×6)=(11×x)-(6/5)

or, 12x = 11x - 6/5

or, 12x - 11x = -6/5

therefore,x =-6/5

Therefore, the number required is (-6/5) whose product of twice a number and six is the same as the difference of eleven times the number and 6/5 .

3 0
3 years ago
Plz help me!!<br><br>Identify the domain and range of each function​
Travka [436]

Answer:

Does this help I hope it does :D

How to find the domain and range of a function?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • what kinds of face shapes are the results from cuts made from parallel and perpendicular to the bases of right rectangular prism
    9·1 answer
  • Estimate 428,731 - 175,842 = i have no idea
    5·2 answers
  • What is the domain of the function y = StartRoot x EndRoot?
    6·1 answer
  • What is the maximum number of terms in the sum of two trinomials
    6·2 answers
  • An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit
    5·1 answer
  • 50x^5<br>÷ <br>10x^3<br><br>need done asap​
    12·2 answers
  • Autism is a serious and lifelong disability that is characterized by a severely decreased ability to engage in communication and
    11·1 answer
  • Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his por
    5·1 answer
  • Gabriel cycles 1,200 meters in 6 minutes. What is his speed?
    13·1 answer
  • If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!