When you know your equation f(x) and they want you to find f(-4), it means that they want to know what f(x) is worth when x=-4
Therefore, you only need to plug in you x in the equation
f(x)=5x-2
f(-4)=5(-4)-2
=-20-2
=-22 (B)
Answer:
See attachment for plot
Step-by-step explanation:
Given

--- increment in the rate
First, we need to model the new rate
A linear equation is:

Where

Compare
and
. we have:

The above represents the previous rate.
The new rate:

Rewrite as:



So, the model is:


<u>The plot at 1 and 2 minutes</u>
When 

When 

So, we have:


<em>Whether she moves backwards or forward, the distance covered remains the same</em>
<em>See attachment for plot</em>
Formula for circumference of circle:
C=2πr
here radius, r=4 cm and π=3.142
Put values in formula.
C=2(3.142)(4)
C=25.1 cm (Rounded to 1 decimal place)
Answer: Circumference of the circle is 25.1 cm (Rounded to 1 decimal place)
Answer:
{324, 0, -6, 54}
Step-by-step explanation:
Given that F(x) = 3x² − 3 x − 6 If the domain of a the function f(x) is { -10, -1, 1, 5 }.
To get the range, we will find f(x) for all the domains
at x = -10
f(-10) = 3(-10)²-3(-10) - 6
f(-10) = 3(100)-3(-10) - 6
f(-10) = 300+30-6
f(-10) = 330-6
f(-10) = 324
at x = -1
f(-1) = 3(-1)²-3(-1) - 6
f(-1) = 3(1)-3(-1) - 6
f(-1) = 3+3-6
f(-1) = 6-6
f(-1) = 0
at x = 1
f(1) = 3(1)²-3(1) - 6
f(1) = 3(1)-3(1) - 6
f(1) = 3-3-6
f(1) = 0-6
f(1) = -6
at x = 5
f(5) = 3(5)²-3(5) - 6
f(5) = 3(25)-3(5) - 6
f(5) = 75-15-6
f(5) = 60-6
f(5) = 54
Hence the range of the relation are {324, 0, -6, 54}
Answer:
17
Step-by-step explanation:
55-15-18-5=17