Answer:
subject?
Step-by-step explanation:
Answer:
is a multiple of 4
Step-by-step explanation:
Let's think about this.
Even numbers are basically numbers that, when divided by 2, get us an integer.
This means that must be an even integer.
<em>However,</em>
Every other even number, when divided by 2, gets you an odd integer.
This means that every second even number, 
gets us an even number.
This also means that every time is an even number, n will be a multiple of 4 (as 
).
Test this out with any even number that's a multiple of 4 (all multiples of 4 are even numbers)
Hope this helped!
Answer:
B) Rational, not an integer.
Step-by-step explanation:
The number is a decimal continuing forever; it is predictable. This means that it is Rational. If the number was not repeating then it would be irrational.
The number is not an integer because it is not a whole number; it is a decimal.
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
<em><u>Question:</u></em>
The equations in this system were added to solve for x. What is the value of x? -2x+y=8 5x-y=-5 3x=3
Options:
x = negative 3
x = negative 1
x = 1
x = 3
<em><u>Answer:</u></em>
The value of x is 1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-2x + y = 8 ------- eqn 1
5x - y = -5 ------- eqn 2
The above equations are added to solve for "x"
Add eqn 1 and eqn 2
-2x + y + 5x - y = 8 - 5
Combine the like terms
-2x + 5x + y - y = 3
Add the like terms
3x + 0 = 3
3x = 3
Divide both sides of equation by 3
x = 1
Thus the value of x is 1
