Answer:
y intercept = -2
x intercepts = -2,-1,1
Step-by-step explanation:
f(x) = x^3 + 2x^2 -x-2
Set this equation equal to zero to find the x intercepts.
Factoring by grouping
0 =x^3 -x +2x^2 -2
= x( x^2-1) +2(x^2-1)
Factoring out the (x^2-1)
0= (x^2-1) (x+2)
Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)
0 = (x-1) (x+1) (x+2)
Using the zero product property
x-1 = 0 x+1 = 0 x+2 =0
x=1, x=-1 x=-2
The x intercepts are -2, -1, 1
To find the y intercepts, set x=0
y = x^3 + 2x^2 -x-2
y = 0 -2
y = -2
Answer:
x=30
Step-by-step explanation:
53+97+x=180
150+x=180
x=30
Answer:
m∠1=114
m∠2=66
Step-by-step explanation:
First, let's find the m∠2
∠2 is inside a triangle, and the angles in a triangle must add to 180 degrees.
So,
55+59+∠2=180
Add 55 and 59
114+∠2=180
We are trying to find ∠2, so we have to get it by itself.
114 is being added on to ∠2. To undo this, subtract 114 from both sides.
114-114+∠2=180-114
∠2=66
Now we know the m∠2, but we still have to find m∠1.
∠2 and ∠1 are on a straight line. This means they are supplementary angles and add to 180 degrees.
∠1+∠2=180
We know that ∠2 is 66, so we can substitute it in.
∠1+66=180
66 is being added onto ∠1. To undo this, subtract 66 from both sides.
∠1+66-66=180-66
∠1=114
Answer:
x= 1/3
Step-by-step explanation:
simplify so you can isolate x quicker: 2x-5=5x-6
subtract 2x from both sides: -5=3x-6
add 6 to both sides: 1=3x
divide both side by the 3 to isolate x: 1/3=x
which of the following is the conjugate of a complex number with 2 as the real part and -8i as the imaginary part
