Answer:
Slope intercept form:- An equation of line is in the form of y =mx +b .....[1] ; where m is the slope and b is the y-intercept.
Consider any two point from the table i.e,
(1, -2) and (2 , -6)
Calculate first slope of these points:
Slope(m) =
then;
then; substitute the value of m in [1]
Equation of line is;
......[2]
Now, substitute any coordinate point from the table i.e (3 , -10) in [2] to solve for b;
-10 = -4(3) +b
-10 = -12 +b
Add both sides 12 we get;
-10 + 12 = -12 +b +12
Simplify:
2 = b
Equation of line is; y = -4x+2
Therefore, the slope intercept form of the function describe by the given table is;
y = -4x +2
In numbers, that would translate to 3w<18.
To figure out what w could be, you would get it by itself because it's the variable in the equation.
Divide 3 from both sides and you would then have w<6, because 18 divided by 3 is 6.
The answer would be 6, because 6 is less than 18.
Answer:d
Step-by-step explanation:
Let the student’s age = x,
Then 56=4x,
X= 56/4= 14
Answer:
1680 ways
Step-by-step explanation:
We have to select 6 different integers from 1 to 10. It is given that second smallest integer is 3. This means, for the smallest most integer we have only two options i.e. it can be either 1 or 2.
So, the selection of 6 numbers would be like:
{1 or 2, 3, a, b, c ,d}
There are 2 ways to select the smallest digit. Only 1 way to select the second smallest digit. For the rest four digits which are represented by a,b,c,d we have 7 options. This means we can chose 4 digits from 7. Number of ways to chose 4 digits from 7 is calculated as 7P4 i.e. by using permutations.
According to the fundamental rule of counting, the total number of ways would be the product of the individual number of ways we calculated above. So,
Total number of ways to pick 6 different integers according to the said criteria would be = 2 x 1 x 840 = 1680 ways