Answer:
Shift 8 units up
Step-by-step explanation:
The given function is;
f(x)=x
and
g(x)=x+8
The function f(x) has its y-intercept at y=0.
The function g(x)=x+8 has its y-intercept at y=8
This implies that; the linear parent function f(x)=x is shifted up 8 units to obtain g(x)=x+8.
Answer:
105
Step-by-step explanation:
A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.
For the scenario given,
Since mean = 105 ; then median = 105
Well, if 24 is 4% of a number, then you need to work out what 100% is.
The formula is 100/4 i.e. 100% divided by 4%= 25
25 x 24 = 600
Answer:
Step-by-step explanation:
12x - 4 = 56
add 4 to each side
12x = 60
divide each side by 12
x = 5
Answer:
7x - 3y = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 7y = 15 into this form
Subtract 3x from both sides
7y = - 3x + 15 ( divide all terms by 7 )
y = - 
x + 
← in slope- intercept form
with slope m = -
Given a line with slope m the the slope of a line perpendicular to it is
= - 
= - 
= 
, thus
y = x + c ← is the partial equation of the line
To find c substitute (4, 9) into the partial equation
9 = 
+ c ⇒ c - 
y = x - ← in slope- intercept form
Multiply through by 3
3y = 7x - 1 ( subtract 3y from both sides )
0 = 7x - 3y - 1 ( add 1 to both sides )
1 = 7x - 3y, that is
7x - 3y = 1 ← in standard form
