Answer:
c = 8
Step-by-step explanation:
Given the following data;
Slope, m = -2
Points (x, y) = (5, -2)
To find the intercept, c;
Equation of a straight line is given by the formula: y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
-2 = -2(5) + c
-2 = -10 + c
c = 10 - 2
c = 8
Therefore, the y-intercept is 8.
Answer:
No
Step-by-step explanation:
x⁵ + 2x³ + x - 1 -> degree of the polynomial is 5
So, when x⁵ is divided by x³, the quotient should be x⁵⁻³ = x².
So, x³ - 3x + 1 cannot be a quotient
Answer:
1/14
Step-by-step explanation:
There is only 1 common multiple of 4 and 6 between 1 and 14.
So the probability is:

Answer:
13
Step-by-step explanation:
To solve this, lets first find the number of footballs he still needs:
75-24 = 51
Now to find the number of packages, divide by 4, since there are 4 balls per package:
51/4 = 12 Remainder 3
Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:
12 + 1 = 13 Packages
Solutions
<span>To solve the problem our first step is to find the prime factorization of each number. </span>
4 = 2²
<span>5 = 5 </span>
<span>6 = 2 x 3
</span>
Calculations
<span>LCM = 2² x 3 x 5 = 60 </span>