Answer:
1: x=y-3 linear equation : y=x+3
2:y=-2x-3 linear equation : y=-2x-3
3: -4y+6 =2 linear equation : y=2-6/-4 ⇒ y=1
4:2/3 x-1/3y=2 , linear equation : y=2x-6
-1/3 y=2-2/3 x
y=-6+2x
13: 5x+25=y² not linear
y = √5x+25
14 : 8+y=4x linear y=4x-8
15: 9xy-6x=7 not linear
16: 4y²+9=-4 ⇒ y²=-4/4 -9/4 ⇒y=√-1-2.25 ⇒y=√-3.25 not linear
17: 12x=7y-10y linear : y=12x/-3 ⇒ y=-4x
18:y=4x+x linear y=5x
To graph the equation, plot a few points then connect then with a line.
f(x) = 440 - 55x
Plug in numbers for x to get the y value.
f(0) = 440
f(1) = 385
f(2) = 330
f(3) = 275
f(4) = 220
f(5) = 165
So when you graph these points, the y intercept is y = 440 because the graph crosses the y axis at (0, 440).
The x intercept is where the graph crosses the x axis. This happens when y = 0.
0 = 440 - 55x. Solve for x.
55x = 440
x = 8
So the x intercept is x = 8
Slope = (4 - 0)/(0 - 8) = -1/2
b = 4
equation
y = 1/2(x) + 4
Answer:
The answer is (5x - 3) (25x² + 15x + 9)
Step-by-step explanation:
125x³ - 27
5 × 5 × 5 × x × x × x - 3 × 3 × 3
Rewrite 125x³ as (5x)³.
(5x)³ - 27
Rewrite 27 as (3)³.
(5x)³ - (3)³
Here, Both terms are <em>perfect cubes, factor</em> using the difference of cube formula,
<em>a³ - b³ = (a - b) (a² + ab + b²)</em>
where,
a = 5x
b = 3
Now,
(5x - 3) [(5x)² + (5x)(3) + (3)²]
Now, Simplify
(5x - 3) (25x² + 15x + 9)
Thus, The answer is (5x - 3) (25x² + 15x + 9)
<u>-TheUnknownScientist</u><u> 72</u>
I'm tempted to separate this inequality into two parts:
x > 0 and 0 < y + z.
x > 0 includes all of the 3-dimensional solid to the right of the plane x = 0.
If 0 < y + z, then -y < z, or z > -y. z = -y is the equation of a plane that is good for all x (x doesn't matter here). Draw the plane (thru the origin) that satisfies z = -y. Then 0 < y + z denotes the portion of the 3-d solid BELOW the plane z = -y.
Best to draw this in 3-d and to shade the portions of the solid centered at (0, 0, 0) that satisfy both x > 0 and 0 < y + z.
