Answer:
x < 3
Step-by-step explanation:
Apply distributive property on the left of the inequality to get rid of the parenthesis:
8+4x > 5x+5
subtract 4x from both sides to group all terms with x on the right:
8 > 5x-4x+5
8 > x +5
Now subtract 5 from both sides to collect all numerical terms on the left:
8 - 5 > x
3 > x
Therefore the solution to the inequality are of those real numbers strictly smaller than 3.
The inequality can be written as x < 3 or also as we had it initially: 3 > x
Notice that the opening of the angle symbol is always facing the number 3 , meaning that 3 is the larger of the two numerical objects that are compared.
Answer:
x^2 -x -2 = (x -2)(x +1)
Step-by-step explanation:
To factor x^2 -x -2, you look for factors of -2 that have a sum of -1:
-2 = (-1)(2) = (1)(-2) . . . . . the latter pair has a sum of -1
Then these are the constants in the binomial factors:
x^2 -x -2 = (x +1)(x -2)
_____
<em>Comment on the question</em>
The fact that x^2 +3x -4 is modeled with algebra tiles seems to be irrelevant to the question that is actually asked.
Answer:
It takes 40 cartridges per book (B) and 30 cartridges per magazine (M) and Sarah wants to use at most 300 cartridges.
.. 40B +30M ≤ 300
It takes 200 pages to print a book and 80 pages to print a magazine and Sarah wants to use at most 1200 pages.
.. 200B +80M ≤ 1200
Hope this helped!
S=Sample Space
n(S)=no. of total outcomes of sample space
= 50%×10=5
n(E)=no. of favourable events=3
Probability of giving birth to boy is,
P(B)=n(E)/n(S)
=3/5....Ans
Zero is actually a whole number, rational number, and integer, but it is not a natural number
