Answer:
x=1
Step-by-step explanation:
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
You can make this into a fraction, and then simplify it.
15/10, right?
15/10 = 3/2
Then compare 3/2 to the rest of the equation
3/2 = x/16
2 * 8 = 16
so
3 * 8 = x
x = 24
Kim would put x number of pizza slices on her pizza.
So she would be putting on 24 slices on her pizza.
Hey!
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First, find the slope.
y2-y1/x2-x1
-20-(-5)/21-16
-15/5
-3
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Second, find the y-intercept.
We can solve for b with one of the points.
Put into slope-intercept form,
y = -3x + b
Substitute x and y with (16, -5)
-5 = -3(16) + b
-5 = -48 + b
-5 + 48 = -48 + b + 48
43 = b
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Third, put in slope-intercept form.
y = mx + b
m = slope
b = y-intercept
y = -3x + 43
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Hope This Helped! Good Luck!
Let the number of saxophone players be
.
Then, the number of trumpet players will be 
If saxophone players are three times the number of trumpet players then we have the relation

This is a linear equation in s. we expand bracket to obtain,

We group like terms to get,


This implies that

The number of trumpet players are;

Therefore there are 5 trumpet players.