A solid dot on the graph of an inequality indicates that the number is contained within the inequality, so yo should use
or
to represent that situation, whereas a white dot indicates that the number is not contained within the inequality.
Our graph is telling us that
is greater or equal than -1, and also
is less than 3. So our inequality will be:
Answer:
4 hours
Step-by-step explanation:
3 x 12 = 36
36/9 = 4
Answer:
x=2,3
Step-by-step explanation:
(x- 2) (x - 3) =0
Using the zero product property
x-2 =0 x-3 =0
x-2+2=0+2 x-3+3 =0+3
x=2 x+3
-5=s/18
Pretend that s/18 is 1/18s
-5=1/18s
Multiply by 18/1 for both sides
-5(18/1)=1/18(18/1)s
Cross out 1 and 1, divide by 1 and then is one.
Cross out 18 and 18, divide by 18 and then is one.
s=-90
Answer: s=-90
Answer:
C
Step-by-step explanation:
(2x + 3)^5 = C(5,0)2x^5*3^0 +
C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5
Recall that
C(n,r) = n! / (n-r)! r!
C(5,0) = 1
C(5,1) = 5
C(5,2) = 10
C(5,3) = 10
C(5,4) = 5
C(5,5) = 1
= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5
= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243
= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243
= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243
