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3 years ago

2. State the domain for the following ordered pairs: { (4, -2), (6, -7), (4, 3), (-8, 1), (-3, 5) } *

Mathematics

1 answer:

Fofino [41]3 years ago

4 0

Answer:

(4,6,4,-8,-3)

Step-by-step explanation:

Domain means of function is the set of all possible inputs for function

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

3 years ago

the radius and height of a solid right circular cone are in the ratio 5 : 12. If its volume is 314 cm cube. find total surface a

navik [9.2K]

Answer:

Step-by-step explanation:

Idk

4 0

3 years ago

Help please help me with this.

boyakko [2]

$\pi r^2h$

$\pi \times 7^2 \times 7$

$\pi \times 7^3$

$\displaystyle 343\pi$

3 0

3 years ago

Read 2 more answers

BRAINLIST AND 20 POINTS I REALLY NEED HELP ASAP (10 POINTS FOR EACH QUESTION)

antoniya [11.8K]

Answer:

7 bottles

$10

Step-by-step explanation:

multiply

1/6×42= 7 bottles

5/9×18= $10

8 0

3 years ago

What does x=??? hurry!!

elena-s [515]

Answer:

17 degrees.

There is a right angle and we know that is 90 degrees. 73 degrees has a vertical angle which is 73 degrees. The opposite vertical angle adds up to another angle which gives you 90. Subtract 73 from 90 and you get 17.

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4 years ago