Answer:
The coordinates (3,0), (-3,0), (0,3) ,and (0,-3) helps us to draw the graph of the circle. Below is the explanation
Step-by-step explanation:
Given:
The equation of a circle is .
To find:
Graph the given equation.
Let's find the center and radius by comparing the given equation with the standard form.
We can rewrite our equation as
Now, compare them
Center (h,k)=(0,0)
Radius r=3
Now, draw the graph of the circle by placing the center and radius.
So, the coordinates which are 3 units exactly from the center (0,0) help us to find the graph of the circle. So, (0,3), (0,-3), (3,0) ,and (-3,0) would help us to graph the circle.
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{x | x R, x ≤ -3}
{x | x R, x ≤ -1}
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}
The solution set is Option D.
{x | x R, x ≤ 3}
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality relation be A
And the equation is 3x - 2 ≤ 2x + 1.
So , on simplifying the equation , we get
3x - 2 ≤ 2x + 1.
Subtracting 2x on both sides of the inequality equation , we get
x - 2 ≤ 1
Adding 2 on both sides of the inequality equation , we get
x ≤ 3
Therefore , the value of x satisfies all the numbers that are less than or equal to 3
Hence , The solution set is {x | x R, x ≤ 3}
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Answer: D
Step-by-step explanation:
A. –2
B. –1
C. 1
D. 2
The input value that produces the same output value in both charts is 2.Option D is the correct answer.
A mathematical expression which has two variables , one is dependent variable and the other is an independent variable.
Functions have wide usage and comes with a defined domain and range.
It is given in the question that there are two functions
Function(x) = -0.5x+2
g(x) = 2x-3
It has different values at different points.
The value at which both the functions have same value has to be determined.
To determine that lets equate both the functions
-0.5x +2 = 2x-3
2.5x = 5
x = 2
Therefore the input value that produces the same output value in both charts is 2, Option D is the correct answer.
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Answer:
Hence, the input value that produces the same output for the functions represented by the tables is:
x=2
Step-by-step explanation:
We are given a function f(x) and g(x) as:
and
Clearly the function g(x) and f(x) are linear function.
We have to find such input value that gives the same output value for the function.
i.e. we have to find x such that:
g(x)=f(x)
i.e. -0.5x+2=2x-3
⇒ 2x+0.5x=2+3
⇒ 2.5x=5
⇒ x=5/2.5
⇒ x=2
Hence, the input value that produces the same output for the functions represented by the tables is:
x=2
Answer: 5/7
Step-by-step explanation:
To simplify 20/28 using the greatest common factor, we need to find the largest number that divides evenly into both 20 and 28. The greatest common factor of 20 and 28 is 4. Dividing both numbers by 4, we get 5/7. Therefore, 20/28 simplifies to 5/7.
Answer:
5/7
Step-by-step explanation:
20/28
5/7