Answer:
Four
Step-by-step explanation:
Let's expand and see how many nonzero terms:
⇒ (x+4)(2x²+3x+9)-3(x³-2x²+7x)=
⇒ 2x³ + 3x² + 9x + 8x² + 12 + 36 - 3x³ + 6 x² - 21 x=
⇒ - x³ + 17x² - 12x + 12
As we see the expression has four nonzero terms
Answer:
Probability of eligible applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
Step-by-step explanation:
Total percentage eligible applicants who pass the exam
Total ineligible applicants who pass the exam
All applicants who pass this exam 62.3% + 4.2% = 66.5%
Probability of applicants who pass the exam
Out of 66.5% applicants who pass the exam , 4.2% applicants are ineligible
Probability of applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
90 km/ h x 1.5 h = 135 km
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Answer:2n + 8 = n-3
Step-by-step explanation:
