It would be y=3x+2 because in y=mx+b, m is the slope and b is the y-intercept
Answer:
First option.
Third option.
Fourth option.
Step-by-step explanation:
For this exercise is important to remember that equivalent expression have the same value.
Then given the following expression provided in the exercise:

You can find equivalent expression by:
- Changing the position of
:
(This matches with the first option)
- Solving the multiplication indicated. Then:
(This matches with the fourth option)
- Writting
inside the parentheses:
(This matches with the third option)
Answer:
30
Step-by-step explanation:
since the 2 sides are congruent, the two angles are congruent, so
75+75+ x= 180
150+x=180
x=30
Answer:
160
Step-by-step explanation:
24/6=4
4 x 40 = 160
x is 160 when y is 24
Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ 
⁵P₃ 
⁵P₃ 
⁵P₃ 
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:


