90 degrees equals a right angle or a complimentary angle.
Answer:
First option
Step-by-step explanation:
Hi there!
The "constant additive rate of change" means a constant slope.
The slope is .
First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in <em>y</em> is forever the same according to the change in <em>x</em>. Knowing this, the second option is for-sure wrong (it's not a straight line).
Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is . This means that for a line, whenever it travels 4 units to the right, it travels 1 unit <em>down </em>(it travels down whenever the slope is negative and up whenever the slope is positive).
This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).
Therefore, the correct answer would be the first option.
I hope this helps!
The domain of P(x) will be : or [0, 160]
<u><em>Explanation</em></u>
Given function : P(x) = $355x - $33,984
Domain means the set of possible values of x , for which the function P(x) can be defined.
Here, x represents the number of passengers on board the plane. As the number of passengers can't be in negative, so the <u>minimum value of x will be 0</u>.
Given that, the plane has a maximum seating capacity of 160 passengers. It means the <u>maximum value of x is 160</u>.
So, the domain of P(x) will be : or [0, 160]
Answer:
True
Step-by-step explanation:
Here, we want to check if the given equation does not intersect the x-axis
if it does not, then it has no real root
If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis
The formula for the discriminant is;
D = b^2-4ac
In the question;
a = -1 , b = 6 , c = 10
so;
D = 6^2-4(-1)(10)
D = 36-40
D = -4
Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis