Answer:
Zeros are x = −2, −3 .
Step-by-step explanation:
Given : f(x) = x² + 5x + 6.
To find : What are the zeroes of f(x).
Solution : We have given that
f(x) = x² + 5x + 6.
To find the zeros of the function we need to set f(x) = 0.
x² + 5x + 6 = 0.
On factoring
x² + 3x +2x + 6 = 0.
Taking common x from first two term and 2 from last two terms
x ( x + 3) +2 ( x +3) = 0.
On grouping
(x + 3) (x + 2) = 0
Now, x + 3 = 0 and x + 2 = 0
x = -3 and x = -2
Therefore, Zeros are x = −2, −3 .
Answer:
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97
Step-by-step explanation:
those are the prime numbers
6/8 of the cookies where shaped like circles and 2/8 of the cookies where shaped like squares *sorry if I’m wrong*
Okay so there are 100 white balloons, 200 pink balloons, and we are specified that the ratio of pink to yellow is 10:1 soo we can plug 200:20 which can be simplified to 100:10 which can then be simplified to 10:1 there is our ratio. So there are 29 yellow balloons. Therefore there are only 80 balloons left which would mean there are 80 blue balloons!:)
Answer:
(A) 5.47 km
(B) 1.38 km
Step-by-step explanation:
The relationship between Pressure (mmHg) and Height (km) is given by the equation below:
p =760 e⁻ 0.145h----------------------------------------------------- (1)
(a) The height of the aircraft can be calculated by making 'h' the subject of equation (1)
In (p/760) = -0.145 h
h = -In (p/760) /0.145
h= In (760/p)/ 0.145------------------------------------------------- (2)
For the aircraft, p =344 mmHg; substituting into (2)
h = In (760/344)/0.145
= 0.7926/0.145
= 5.4662 km
≈ 5.47 km
(b) p= 622 mmHg at the mountain top. Substituting into equation (2) we have:
h = In (760/622)/0.145
= 0.2003 / 0.145
= 1.3813 km
≈ 1.38 km
