If you would like to find the discriminant of the quadratic equation 0 = 2x^2 + 3x - 5, you can do this using the following steps:
<span>0 = 2x^2 + 3x - 5
0 = ax^2 + bx + c
a = 2, b = 3, c = - 5
</span>D = b^2 - 4 * a * c = 3^2 - 4 * 2 * (-5) = 9 + 40 = 49
The correct result would be 49.
Answer
Find out the how many of each metal did your team win.
To prove
As given
Your team wins 18 medals at a competition.
The metals are gold, silver, and bronze in a ratio of 2:4:3.
Let us assume that x be the scalar multiple of the gold, silver and bronze medal.
Thus
Number of gold medal = 2x
Number of silver medal = 4x
Number of bronze medal = 3x
Than the equation becomes
2x + 4x + 3x = 18
9x = 18
x = 2
Number of gold medal = 2 × 2
= 4
Number of silver medal = 4 × 2
= 8
Number of bronze medal = 3 × 2
= 6
Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.
Answer:
F(x) = 3
Step-by-step explanation:
Just substitute x with 1 and you add it with 2 and your answer is three
3/4 of an hour = 45 minutes
45 * 3 = 135 minutes
135 + 45 = 180 minutes
He spends 180 minutes or 3 hours
Hey there!!
In order to solve this equation, we will have to use the distributive property.
What is distributive property?
We will need to distribute one term to the other terms preset.
Example : 4 ( 3x - 1 )
sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1
( 4 × 3x ) + ( 4 × -1 )
12x + ( -4 )
= 12x - 4
This is after implementing the distributive property.
Now moving back onto the question
4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )
Let us first solve 4 ( x + 5 )
Distribute 4 to x and 5
( 4 × x ) + ( 4 × 5 )
4x + 20
Now let's solve 3 ( x - 2 )
Distribute 3 to x and -2
( 3 × x ) + ( 3 × - 2 )
3x - 6
Solve for -2 ( x + 2 )
Distribute -2 to x and 2
( -2 × x ) + ( -2 × 2 )
-2x - 4
Now, let's get everything back together
4x + 20 = 3x - 6 - 2x - 4
Combine all the like terms
4x + 20 = x - 10
Adding 10 on both sides
4x + 20 + 10 = x - 10 + 10
4x + 30 = x
Subtracting 4x on both sides
4x - 4x + 30 = x - 4x
30 = -3x
Dividing by -3 on both sides
30 / -3 = -3x / -3
- 10 = x
<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>
