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erastovalidia [21]
3 years ago
7

Determine the equation of quadratic function represented by the table of value below.

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Answer:

A

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(0)=6\Rightarrow 6=a\cdot 0^2+b\cdot 0+c\\ \\y(1)=4\Rightarrow 4=a\cdot 1^2+b\cdot 1+c\\ \\y(-1)=10\Rightarrow 10=a\cdot (-1)^2+b\cdot (-1)+c

We get the system of three equations:

\left\{\begin{array}{l}c=6\\ \\a+b+c=4\\ \\a-b+c=10\end{array}\right.

From the first equation

c=6, then

\left\{\begin{array}{l}a+b=-2\\ \\a-b=4\end{array}\right.

Add these two equations:

a+b+a-b=-2+4\\ \\2a=2\\ \\a=1

So,

b=-2-a=-2-1=-3

The quadratic function is

y=1\cdot x^2-3x+6\\ \\y=x^2-3x+6

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Which value of x satisfies the equation below? 4x-7+25
Morgarella [4.7K]

Answer: =4x+18

Step-by-step explanation:

Let's simplify step-by-step.

4x−7+25

=4x+−7+25

Combine Like Terms:

=4x+−7+25

=(4x)+(−7+25)

=4x+18

Answer:

=4x+18

8 0
2 years ago
Explain how to find the deviation of an entry in a data set
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3 0
3 years ago
F(x) = - 3x + 4; g(x) = f(x) + 1 <br> Graph it and then describe the graph
inna [77]

The graph of function f(x) and g(x) is parallel lines separated by 1 unit.

In this question we have been given two functions f(x) = - 3x + 4 and         g(x) = f(x) + 1

We need to graph these functions and then describe the graph.

The graph of given functions is as shown below.

The graph of function f(x) is a straight line with slope -3 and y-intercept 4.

The function g(x) is nothing but but function f(x) translated upward by 1 unit.

The graph of function g(x) is also a straight line with slope -3 and y-intercept 5.

Therefore, the graph of function f(x) and g(x) is parallel lines separated by 1 unit.

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3 0
1 year ago
Two cubes are tossed. Find P(only one shows a 2).
djverab [1.8K]
The probability that only one shows a 2.

There are 36 different outputs (6x6) = 36

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There are 6 combinations where the second cube shows a 2: 1,2;2,2;3,2;4,2;5,2; and 6,2.

Of those one combination on each set shows two 2.

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4 0
3 years ago
Page 7:
borishaifa [10]

Answer:

p, m, n.

Step-by-step explanation:

It is given that,

n=p(m)

Here, p is the name of the function and its variable is m which is independent.

Independent variable : Whose value does not depend on another variable.

Dependent variable : whose value depends on the another variable.

Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.

∴ If n = p(m), p is the function name, m is the independent variable,  and n is the dependent variable.

8 0
3 years ago
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