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
bezimeni [28]
2 years ago
14

Can someone please help me with my Question #29 of The Quadratic Relations for me please?

Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer:

Calculate the <u>first differences</u> between the y-values:

\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19

As the first differences are <u>not the same</u>, we need to calculate the <u>second differences</u>:

\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7

As the second differences are the <u>same</u>, the relationship between the variable is quadratic and will contain an x^2  term.

--------------------------------------------------------------------------------------------------

<u>To determine the quadratic equation</u>

The coefficient of x^2  is always <u>half</u> of the <u>second difference</u>.

As the second difference is 2, and half of 2 is 1, the coefficient of x^2 is 1.

The standard form of a quadratic equation is:  y=ax^2+bx+c

(where a, b and c are constants to be found).

We have already determined that the coefficient of x^2 is 1.

Therefore, a = 1

From the given table, when x=0, y=12.

\implies a(0)^2+b(0)+c=12

\implies c=12

Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:

\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}

Therefore, the quadratic equation for the given ordered pairs is:

y=x^2+6x+12

You might be interested in
What is the best mechanical advantage that you can obtain for any door that you simply push open?
Komok [63]

Answer:

  2

Step-by-step explanation:

The best mechanical advantage you can get is obtained by pushing the door at its edge. If the door's center of mass is halfway from the hinge to the edge, then the advantage you get (in terms of force reduction) is ...

  1/(1/2) = 2

8 0
3 years ago
Heyyy Friends!! Whats 9+(1*1)+6=??
aev [14]

Answer:

16 :)

Step-by-step explanation:

5 0
3 years ago
Factor the expression below so it is in simplest form.
sergij07 [2.7K]

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

urmom gfghdfhghhgfdghjgfdsghjkhgfd fuhgjk rfujgyhbm

6 0
3 years ago
Help: The equation is in the screenshot
Svetllana [295]

The graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.


<h3>What is a graph?</h3>

The graph is a demonstration of curves that gives the relationship between the x and y-axis.


Here,
The curve of the function in the 2 quadrants is increasing when x tends to -∞ and in the quadrant, the curve f(x) is decreasing to -∞ as x tends to ∞.


Thus, the graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ1


8 0
2 years ago
Evaluate 0.3 y+\dfrac yz0.3y+ z y ​ 0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals,
sergij07 [2.7K]

Answer:

  5

Step-by-step explanation:

Put the numbers where the corresponding variables are in the formula and do the arithmetic.

  0.3y+\dfrac{y}{z}=0.3\cdot 10+\dfrac{10}{5}=3+2=5

The expression evaluates to 5.

6 0
3 years ago
Other questions:
  • Someone please help. SERIOUS answers only
    14·2 answers
  • Distributive Property 1 <br><br> 2(x+3)<br><br> What is the answer
    15·2 answers
  • What’s the answer please help..............
    14·1 answer
  • Need help please and thank you ❤️
    11·1 answer
  • John sells book bags.He sells a leather bag for $69.80 and the sales price . About how much is the sales tax on the book bag?
    13·2 answers
  • Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct? *
    7·1 answer
  • Help please !!!!
    8·1 answer
  • A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.
    5·1 answer
  • Branliest to correct answer please explain how you got your answer :)
    10·1 answer
  • Does the following relationship represent a function?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!