Answer:
a) 1470 ways
b) 2835 ways
Step-by-step explanation:
the question is not correct, in the correct question The number of independents should be 3 not 2
there are 7 republicans, 10 democrats and 3 independents.
C(n,r) is the number of different combinations of n distinct objects taken r at a time.
C(n,r) = 
a) it will consist of 1 Republican and 4 Democrats
The number of ways this can be chosen is = C(7,1) × C(10,4) = 
= 7 × 210 = 1470 ways
(b) it will consist of 2 Republicans, 2 Democrats, and 2 Independents (consist of 2 independents not 3)
The number of ways this can be chosen is = C(7,2) × C(10,2) × C(2,2)
=
= 21 × 45 × 3 = 2835 ways
<span>Let be A= 6x6 − x3y4 − 5xy5 and B= 4x5y + 2x3y4 + 5xy5
and when we do their difference, it is A - B =
6x6 − x3y4 − 5xy5 -( 4x5y + 2x3y4 + 5xy5)=6x6 − x3y4 − 5xy5 - 4x5y - 2x3y4 - 5xy5 = 6x6 - x3y4 - 2x3y4 - 5xy5 -4xy5 -5xy5=6x6 - 3x3y4 -14xy5, so the final solution is A - B =6x6 - 3x3y4 -14xy5, the degree of this is equal to the degree of - 3x3y4, and it is 3+4=7, the answer is
The difference has 3 terms and a degree of 7.</span>
Answer:
The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
Step-by-step explanation:
give me brainliest please
Step-by-step explanation:
To solve this, you either need x or y. So x or y can be the missing values. The most you can do is simply move one of the terms to the other side.
Answer:
y-intercept: 10
concavity: function opens up
min/max: min
Step-by-step explanation:
1.) The definition of a y-intercept is what the resulting value of a function is when x is equal to 0.
Therefore, if the function's equation is given, to find y-intercept simply plug in 0 for the x-values:
y intercept ( f(0) )= 10
2.) In order to find concavity (whether a function opens up or down) of a quadratic function, you can simply find the sign associated with the x^2 value. Since 2x^2 is positive, the concavity is positive. This is basically possible, since it is identifying any reflections affecting the y-values / horizontal reflections.
3.) In order to find whether a quadratic function has a maximum or minimum, you can use the concavity of the function. The idea is that if the function opens downwards, the vertex would be at the very top, resulting in a maximum. If a function was open upwards, the vertex would be at the very bottom, meaning there is a minimum. Like the concavity, if the value associated with x^2 is positive, there is a minimum. If it is negative, there is a maximum. Since 2x^2 is positive, the function has a minimum.
