Answer and workings in the attachment below.
Answer:
x=0 x=3 x=-2
Step-by-step explanation:
p(x)= 3x^3 – 3x^2– 18x
Factor out the greatest common factor, 3x
p(x)= 3x (x^2 – x– 6)
Factor inside the parentheses
What 2 numbers multiplies to -6 and adds to -1
-3*2 = -6
-3+2 = -1
p(x)= 3x (x-3)(x+2)
Setting the function equal to zero to find the zeros
0 = 3x (x-3)(x+2)
Using the zero product property
3x = 0 x-3 =0 x+2 =0
x=0 x=3 x=-2
Answer:
Step-by-step explanation:
a+b=9500 equation 1
35a+55b=432500 equation 2
a=9500-b modified equation 1 to isolate a
35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2
332500-35b+55b=432500
20b=100000
b=5000
solve for a
a + b=9500
a + 5000=9500
a=4500
check answer:
35a+55b=432500
35(4500)+55(5000)=432500
157500+275000=432500
432500=432500
Answer:
x=-15
Step-by-step explanation:
50=-10(x+10)
Distribute 10: 50=-10x-100
Add 100 to both sides: 100+50=-10x-100+100
150=-10x
Simplify: 150/-10=-10x/-10
x=-15
Answer:
If you're taking the AP Statistics test, you'll need to know the general formula for a standardized test statistic. Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).
Step-by-step explanation:
