Which is the graph of the function f(x) = x2 + 2x + 3?
Answers
Answer:
Refer the graph attached.
Step-by-step explanation:
Given : Equation
To find : The graph of the given equation?
Solution :
Let,
First we find the points which satisfy the equation and then joining those points give you the graph.
Points are
x y
-3 6
-2 3
-1 2
0 3
1 6
Now, We plot these points.
The graph is the parabola with vertex (-1,2).
Refer the attached graph below.
Answer:
first graph on edge
Step-by-step explanation:
Related Questions
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Find the first,fourth, and eighth terms of the sequence. A(n)=-5*2^n-1
Help!! I'm really confused, please explain how you got it
Answers
Answers
10 times the denominator 12=120
plus the numerator 5=125
=125 over the original denominator 12
125/12
Hope this helped
How much time does Dave spend on the stationary bicycle in a week?
A.
the total number of hours Dave spends on the stationary bicycle each visit
B.
the total number of hours Dave spends on the treadmill each month
C.
the total number of times Dave spent exercising in 10 weeks
Unsubscribe · Report · Sun Mathematics
Answers
G. 4
H. -1
J. 4
K. 16
Answers
Answer:
F. -16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Functions
- Function Notation
Step-by-step explanation:
Step 1: Define
Identify
Step 2: Evaluate
- Substitute in x [Function g(x)]:
- Exponents:
- Divide:
Answers
Answer: The actual ship is 168 in by 390 in
Step-by-step explanation:
The model ship is:
28 in by 65 in.
The factor of scale is 1/2 ft, this means that each inch corresponds to 1/2 ft, so we have that the actual scale is:
28 in*(1/2 ft/in) = 28*(1/2)ft = 14ft
by:
65in*(1/2ft/in) = 32.5ft
So the ship is 14ft by 32.5 ft, and knowing that 1 ft = 12 inches, we can write this in inches as:
14*12 in = 168 in
32.5*12 in = 390in.
The actual ship is 168 in by 390 in
Answers
Answer:
Step-by-step explanation:
If a ball bounces to a height of 5feet, the initial drop = 5feet
If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;
= 70% of 5
= 70/100 * 5
= 0.7*5
= 3.5 feet
The next height will be 0.7*3.75 = 2.45 and so on
The heights wil form a sequence as thus;
5, 3.5, 2.45...
This sequence forms a geometric progression.
To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence
a is the first term of the sequence
n is the number of terms
r is the common ratio
From the sequence:
a = 5
Substitute the given values into the formula
The nth tern=m required is
The function that models the nth term in the sequence of heights of the ball after the initial drop is an = 5 * 0.7(n-1)
The sequence of heights of the ball can be modeled using a geometric sequence, since the ball rebounds to 70% of its previous height after each bounce. The formula for a geometric sequence is:
an = a1 × r(n-1)
where an represents the nth term in the sequence, a1 is the initial term (in this case, the height of the first bounce), and r is the common ratio (in this case, 0.7). So, the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is:
an = 5 × 0.7(n-1)
Learn more about Geometric sequence here:
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