An inequality is a statement that shows relation between two values, when the two values are not equal.
The inequality is opposite than equality.
So, the interval (5,100] means that it contains all number from number 5 (not and 5) till 100, including 100. We can see this from the bracket's type.
For a value x in this interval we can write the inequality:
5<x<=100
x is bigger than 5 , and smaller or equal 100
Answer:
Step-by-step explanation:
Eliminate answer 4 immediately, because (4)(3) is not 7.
Look at answer 2: 7x + 3x = 10x, which does not match the middle term 12x in the original polynomial. Eliminate answer 2.
Look at answer 1: 1x + 21x = 22x, which does not match the middle term of the original polynomial. Eliminate answer 1.
All quadratics have solutions. Let's apply the quadratic formula to 3x^2 + 12x + 7: Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is
12²-4(3)(7), or 144 - 84, or 60. Being positive, this tells us that the given poly has two real, unequal roots:
-12 ± √60 -12 + 2√15 -12 - 2√15
x = ----------------- = ------------------- and x = --------------------
3 3 3
Normally, if c is a root, then x - c is a factor.
If we try this here, however, the resulting factors do not at all match any of your answer choices.
Don't be offended...but please ensure you have copied this problem down correctly.
Answer:
47°
Step-by-step explanation:
angles x and 133 are supplementary, so they add up to 180°
subtract 133 from 180 to get 47
Answer:
98 degrees
Step-by-step explanation:
m<H = 45, m<F = 53
180 = 45 + 53 + (180-x)
82 = 180-x
x+82 = 180
x = 98
Answer:
$208.33
Step-by-step explanation:
Julie has to make the down payment which is 25% of $60000 after saving for 6 years.
Therefore, Julie has to save a total of
dollars.
And Julie has to save it for the duration of 6 years i.e. (6 × 12) = 72 months.
Hence, Julie has to save
dollars every month to make the down payment after 6 years. (Answer)