Answer:
The graph in the attached figure
Step-by-step explanation:
Let
f -----> the number of pounds of fertilizer
s ----> the number of pounds of seeds
we know that
The inequality that represent the situation is
using a graphing tool
see the attached figure
The solution is the triangular shaded area
Answer:
x=17, x=-7
Step-by-step explanation:
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|x-5|-2 = 10
Another term is moved / added to the right hand side.
|x-5| = 12
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-5|
For the Negative case we'll use -(x-5)
For the Positive case we'll use (x-5)
Step 3 :
Solve the Negative Case
-(x-5) = 12
Multiply
-x+5 = 12
Rearrange and Add up
-x = 7
Multiply both sides by (-1)
x = -7
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x-5) = 12
Rearrange and Add up
x = 17
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-7
x=17
Answer: (0,-5), (5, 0), (10, 5) and (15,10).
Step-by-step explanation:
Given equation: 
To find its inverse we will find the value of x .
Subtract 5 from both sides
Switch y to x, we get
y= x-5, which is the inverse function.
At x=0,
y=-5
At x= 5,
y=0
At x= 10 ,
y=5
At x= 15,
y= 10
Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).
Calculating
the value of f(x) for the given interval.
For x = -
4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11
For x =
6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51
Now using
formula for the calculation of average rate of change of f(x) over the given
interval of [- 4, 6];
(f(b) –
f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4
<span>So option “E” is
correct.</span>
Answer:
19/4
Step-by-step explanation:
0.5=12/10a-5.2
1/2=6/5a-26/5
5=12a-52
-12a=-57
