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hammer [34]
3 years ago
12

Determine the domain and range: {(-9,0), (-6,0), (-4,0), (0,0), (3,0), (5,0)}

Mathematics
2 answers:
Leya [2.2K]3 years ago
6 0

Answer:

Answers are below.

Step-by-step explanation:

From smallest to largest:-

Domain: {0, 3, 5, -4, -6, -9}

Range: {0}

mamaluj [8]3 years ago
4 0

Answer:

The domain is the set of all the values of x

The range is the set of all the values of y.

Domain:

{0,1,2,4,5,6,7,8}Range: {5,4,9,6,0}

Step-by-step explanation:

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Solve for the value of x.<br> x + 4°<br> 134°
Juli2301 [7.4K]

Step-by-step explanation:

The answer is 130° since you subtract 4° from both sides

4 0
3 years ago
How do you illustrate<br>quadratic equation<br>in one variable?​
soldi70 [24.7K]

Step-by-step explanation:

Quadratic Equation

Quadratic equation is in the form

ax2+bx+c=0

Where

a, b, & c = real-number constants

a & b = numerical coefficient or simply coefficients

a = coefficient of x2

b = coefficient of x

c = constant term or simply constant

a cannot be equal to zero while either b or c can be zero

Examples of Quadratic Equation

Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.

1. 3x2+2x−8=0

2. x2−9=0

3. 2x2+5x=0

4. sin2θ−2sinθ−1=0

5. x−5x−−√+6=0

6. 10x1/3+x1/6−2=0

7. 2lnx−−−√−5lnx−−−√4−7=0

For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.

Roots of a Quadratic Equation

The equation ax2 + bx + c = 0 can be factored into the form

(x−x1)(x−x2)=0

Where x1 and x2 are the roots of ax2 + bx + c = 0.

Quadratic Formula

For the quadratic equation ax2 + bx + c = 0,

x=−b±b2−4ac−−−−−−−√2a

See the derivation of quadratic formula here.

The quantity b2 - 4ac inside the radical is called discriminat.

• If b2 - 4ac = 0, the roots are real and equal.

• If b2 - 4ac > 0, the roots are real and unequal.

• If b2 - 4ac < 0, the roots are imaginary.

Sum and Product of Roots

If the roots of the quadratic equation ax2 + bx + c

= 0 are x1 and x2, then

Sum of roots

x1+x2=−ba

Product of roots

x1x2=ca

You may see the derivation of formulas for sum and product of roots here.

4 0
3 years ago
You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre
natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

Z(0, 5) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}

AB = \sqrt{(15)^2 + (0)^2}

AB = \sqrt{225 + 0} = \sqrt{225}

AB = 15

Distance between X(15, 20) and Y(15, 5):

XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

X(15, 20) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}

XY = \sqrt{(0)^2 + (-15)^2}

XY = \sqrt{0 + 225} = \sqrt{225}

XY = 15

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0
3 years ago
What is 97,079 rounded to the nearest ten thousand
Kazeer [188]

Answer:

97000

Step-by-step explanation:

look the the left of the column asked for. if it's 0-4 it stays the same but if it's 5-9 it goes up on. e.g if the number was 97508 it would go to 98000

8 0
2 years ago
Read 2 more answers
A pack of 9 toilet rolls costs £4.23
OleMash [197]
 a)  9 toilet rolls cost $ 4.23
       1 toilet roll costs  $ x

          9x = 4.23 * 1
           x= 4.23 / 9
            x = 0.47
So in first case one toilet roll costs $ 0.47.

b) 4 toilet rolls cost $1.96
    1 toilet roll costs  $ x
     
    4x = 1.96 * 1
     x = 1.96 / 4
     x = 0.49
So in second case one toilet roll costs $ 0.49.

0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.

Hope this heps!


8 0
3 years ago
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