How to graph 3x-y=9 on a graph

Identify the domain of the equation y = x2 − 6x + 1.

pantera1 [17]

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain...(I'm including the range..)

Domain:(-∞,∞),{x║x ∈ R}

Range:(-8,∞),{y║y≥-8}

5 0

3 years ago

(2x-3)^2 find x coefficient

mihalych1998 [28]

Answer:

=4x^2−12x+9

Step-by-step explanation:

=(2x+−3)(2x+−3)

=(2x)(2x)+(2x)(−3)+(−3)(2x)+(−3)(−3)

=4x2−6x−6x+9

=4x2−12x+9

5 0

3 years ago

Hi I need this asap if you also explain the work on how you got answers plz and thank you

weeeeeb [17]

Answer:

Q/ Draw a line ; Ans; 

$\frac{9}{5} —>1 \frac{4}{5}$

*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .

Ans; 7/3—> 2 1/3

*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .

Ans; 12/10 —> 1 1/5

*explain; simple (12 and 10) ÷ 2 so equal 6/5

We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .

$\frac{12 \div 2}{10 \div 2} = \frac{6}{5} = 1 \frac{1}{5}$

Q/ Compare the fractions;Ans;

$\frac{2}{3} < \frac{14}{6}$

* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .

$\frac{3}{8} < \frac{8}{3}$

* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .

$2 \frac{1}{6} > \frac{5}{9}$

* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6

13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .

Q/Add; Ans;

$\frac{7}{8} + \frac{5}{8} = \frac{7 + 5}{8} = \frac{12}{8} = \frac{3}{2}$

$\frac{1}{9} + \frac{2}{3} \\ \\ \frac{1}{9} + \frac{6}{9} = \frac{ 1+6 }{9} = \frac{7}{9}$

Q/Subtract; Ans;

$\frac{6}{7} - \frac{4}{7} = \frac{6 - 4}{7} = \frac{2}{7}$

$\frac{7}{3} - \frac{2}{9} \\ \\ \frac{21}{9} - \frac{2}{9} = \frac{21 - 2}{9} = \frac{19}{9}$

Q/ Multiply;Ans;

$\frac{1}{5} \times \frac{1}{2} = \frac{1}{10}$

$\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}$

Q/Divide;Ans;

$\frac{3}{4} \div \frac{2}{5} \\ \\ \frac{3}{4} \times \frac{5}{2} = \frac{15}{8}$

$\frac{8}{9} \div \frac{1}{3} \\ \\ \frac{8}{9} \times \frac{3}{1} = \frac{24}{9} = \frac{8}{3}$

I hope I helped you^_^

5 0

3 years ago

Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in

SashulF [63]

First find slope or rate of winston(0,-100) and (3,-16)

slope=(y2-y1)/(x2-x1)
slope=(-16-(-100))/(3-0)=(-16+100)/(3)=84/3=28/1

wane slope or elevation gain
y=mx+b
m=slope or rate of elevaion gain
b=yintercept or starting oint
y=30x-105
slope or rate of change is 30

30 vs 28

wane acends faster than winston

also, the starting point or when x=0 point is the starting point
wane: -105 is start
winston: -100 is start

wane started deeper
so the true statements are
Wayne ascends at a faster speeds
Wayne was deeper when he began ascending

7 0

3 years ago

If you replace x2 − y2 with a, 2xy with b, and x2 + y2 with c, what is the identity equation?

ivolga24 [154]

X^2 - y^2 = a

2xy = b

x^2 + y^2 = c

A polynomial identity is an equation that is always true.`1

You can relate x^2 + y^2 with x^2 - y^2 and 2xy in this ways.

1) Step 1:

[x^2 + y^2]^2 = x^4 + 2(xy)^2 + y^4 = c^2

2) Step 2:

[x^2 - y^2] = x^4 - 2(xy)^2 + y^2 = a^2

(2xy)^2 = 4(xy)^2 = b^2

x^4 - 2(xy)^2 + y^2 + (2xy)^2 = x^4 + 2(xy)^2 + y^2
------------------------    ----------     --------------------------
            ↓                       ↓                        ↓
           a^2                    b^2    =              c^2

Answer: the identity is

c^2 = a^2 + b^2 equivalent to

(x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2

5 0

4 years ago