Answer: The graph is attached.
Step-by-step explanation:
1. Solve for y, as following:
2. The equation of the line in slope intercept form is:
Where m is the slope and b is the y-intercept.
3. In this case the equation of the line is:
then:
4. Find the x-intercept. Make y=0. Then:
5. Then, plot the line that passes through the points (0,7) and (4.9, 0).
6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.
Then you obtain the graph attached.
the answer is true because 6x multiply -2 to give -12x and 6x multiplies x² to give 6x³
Answer: -9.1
Explanation
-3x +12.4=39.7
First minus 12.4 from both sides
-3x +12.4=39.7
-12.4 -12.4
-3x=27.3
Now devid both sides by -3
X= -9.1
Answer:
x = ±i(√6 / 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
<u>Algebra II</u>
Imaginary root i
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2x² + 3 = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 3 on both sides: 2x² = -3
- [Division Property of Equality] Divide 2 on both sides: x² = -3/2
- [Equality Property] Square root both sides: x = ±√(-3/2)
- Simplify: x = ±i(√6 / 2)
Yo sup??
y=(x+4)(x-2)
to find the x intercept put y=0
0=(x+4)(x-2)
so either x=-4 or x=2
Therefore the graph intersects the x axis at -4 and 2
Lenght of x intercept=|-4-2|=6 units
y=(x+4)(x-2)
=x^2+2x-8
This is an upward opening parabola
To find the coordinates of the vertex we can apply the formula
(-b/2a,-D/4a)
b=2
a=1
D=b^2-4ac
=4-4*1*(-8)
=4+32=36
Vertex=(-2/2*1,-36/4*1)
=(-1,-9)
Hope this helps.
