Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on the right side.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b
Comparing like terms with - 6x² + 12x - 15
x - term → - 3a = 12 ( divide both sides by - 3 )
a = - 4
constant term → - 3b = - 15 ( divide both sides by - 3 )
b = 5
If the distance around the earth means circumference, it is, 24,887.64.(not rounded.) C=pi D (pi=3.14 + d=diameter)
Answer:
The experamental probability that the coin lands on head is 50 %
Step-by-step explanation:
Given:
Experiment:
A coin is Toss
Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }
∴ n ( S ) = 2
Let A be the event of getting a Head on tossing a coin i.e { Head }
∴ n( A ) = 1
Now,

Substituting the values we get

The experamental probability that the coin lands on head is 50 %
Answer:
One avocado costs $1 and one tomato costs $0.50
Step-by-step explanation:
Set up a system of equations where t is the number of tomatoes and a is the number of avocados:
4t + 8a = 10
6t + 14a = 17
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:
12t + 24a = 30
-12t - 28a = -34
Add them together and solve for a:
-4a = -4
a = 1
Plug in 1 as a into one of the equations and solve for t:
4t + 8a = 10
4t + 8(1) = 10
4t + 8 = 10
4t = 2
t = 0.5
So, one avocado costs $1 and one tomato costs $0.50
Answer: x=6 and the angle is 50
Step-by-step explanation:
1. a whole triangle = 180°
2. subtract 70 and 60 to get 50
3. subtract 2 from 50 and get 48
4. divide 48 by 8 and you get 6.
hope this helps :) everyone reading this have a great day!