Answer:
0; 10; 20
Step-by-step explanation:
x is the independent variable
y is the dependent variable
y is dependent on x
a) For what value of the independent variable will the value of the function be equal to −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Therefore, if the independent variable is 0, the value of the function will be -6.
b) For what value of the independent variable will the value of the function be equal to −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Therefore, if the independent variable is 10, the value of the function will be -3.
c) For what value of the independent variable will the value of the function be equal to 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, if the independent variable is 20, the value of the function will be 0.
Answer:
2.33 units
Step-by-step explanation:
Answer:
$412.92
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
The first step is to change 4% into its decimal form:
4% -> 
-> 0.04
Now plug in the values:
It would be worth $412.92
Your answer would be the last option: What will happen to the individual sections cannot be determined, but the size of the two sections together increases.
This is because angles on a straight line add to 180°, so if angle C decreases, angles A and B must collectively increase to make up for the loss. For example, if C = 20° and it decreases to 15°, A + B + C would equal 175° and so A and B would need to increase to make it 180°.
The reason we can't determine what happens to the individual sections is that they could either both increase, or one could increase and one could decrease, as long as they collectively make up for the decreased angle.
I hope this helps! Let me know if you have any questions :)
Answer:
Step-by-step explanation:
Given
Required
The exponent form
We have:
Apply the following law of indices;
So, the expression becomes:
