Answer:
Step-by-step explanation:
Translation down and to the right doesn't change the dimensions of the original figure.
This will change coordinates of each vertex but the highest coordinates of the pre-image and image will correspond to each other.
Answer:
P ( x ) = -0.7 (x - 2)²(x + 3)
Step-by-step explanation:
<u>We are given</u> :
P ( x ) , has a root of multiplicity 2 at x = 2
and a root of multiplicity 1 at x = − 3
Then
P ( x ) = a (x - 2)²(x + 3) ; where ‘a’ is a real number.
P ( x ) = a (x - 2)²(x + 3)
= a (x² - 4x + 4)(x + 3)
= a [x³ - 4x² + 4x + 3x² - 12x + 12]
P (0) = -8.4
⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4
⇔ 12 a = -8.4
⇔ a = (-8,4) ÷ 12
⇔ a = -0,7
<u>Conclusion</u> :
P ( x ) = -0.7 (x - 2)²(x + 3)
Answer:
(19229.11 ,20770.89)
Step-by-step explanation:
We are given the following information:
Sample size, n = 17
Sample mean = 20,000 pounds
Sample standard deviation = 1,500 pounds
Confidence level = 95%
Significance level = 5% = 0.05
95% Confidence interval:
Putting the values, we get,
Answer:
they both ran the same distance
Step-by-step explanation:
divide 10 by 4 that equals 2.5
2 and 1/2 equals 2.5
Answer:
c.natural
Step-by-step explanation:
The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.71828.
