Answer:
Step-by-step explanation:
1/2 (6x-10) - x
Opening bracket
= 6x/2 - 10/2 - x
= 3x - 5 - x
= 2x - 5
Answer:
k = 12
Step-by-step explanation:
Given:
The equation 
To find:
Value of 
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation: 
to have one distinct solution:
Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:
The equation becomes:
And the one root is:
Answer:
<h3>
y = -3x</h3>
Step-by-step explanation:
The standard expression of equation of a line in slope-intercept form is expressed as;
y = mx+c
m is the slope
c is the intercept
Given
slope m = -3
Point (x, y) = (-1, 3)
x = -1 and y = 3
Get the intercept
To get the intercept c, we will substitute the given values into the equation above to have;
y = mx+c
3 = -3(-1)+c
3 = 3 + c
c = 3-3
c = 0
Substitute m = -3 and c = 0 into the equation above;
y = mx+c
y = -3x+0
y = -3x
Hence the required linear equation is y = -3x
Answer:
3 have only been in ballet
Step-by-step explanation:
If
5 have been in ballet
9 have been in play
2 have been in both ballet and a play
Then
<u>3 have only been in ballet</u>
7 have only been in a play
