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
5) n - 5 <u>></u> -2
<u> + 5 +5</u>
n <u>></u> 3
6) 3 + x < 7
<u> -3 -3</u>
x < 7
7) -7y <u><</u> 14
<u> ÷ -7 ÷ -7
</u> y <u> <</u> -2<u>
</u>8) b/5 > -1
<u>× 5 × 5</u>
b > -5
<u />
Answer: -6
Step-by-step explanation:
9% = .09
.09-6.375 = −6.285
6.285 = 6.285/1 = 62.85/10 = 628.5/100 = 6285/1000
GCF = 5, 1257/200 = 6
-6
-6.285 = -6
Notice, the third decimal place is 9 in 3.469644...
and after the 469 there's a 6, that means we can round that 469 to a 470
3.470.