Answer:
Option D is correct
$2.50 per mile
Step-by-step explanation:
Slope intercept form:
The equation of line is given by:
y = mx+b .....[1]
where,
m is the slope of the line.
b is the y-intercept
As per the statement:
The function y = 3.75 + 2.50(x - 3)
where, y can be used to determine the cost in dollars for a uber ride of x miles.
Using distributive property:
we have;
⇒
On comparing with [1];
m = 2.50
⇒rate of change of the cost in dollars with respect to the number of miles = $2.50 per mile
therefore, $2.50 is the rate of change of the cost in dollars with respect to the number of miles
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Explanation:
The given equation is in slope intercept form y = mx+b
We see that m = 1/2 is the slope of y = (1/2)x-7
We'll use this slope along with the point (x1,y1) = (-3,-2) to get the following
Which is why choice D is the answer.
Note: this final equation is in point slope form.
The no. of letters in the world (MATH) = 4
the no. of favourable outcomes = 10
hence‚ probability of getting the letters (MATH) 2/5
Answer:
1. Fill in the box with 1
2. Fill in the box with -2
Step-by-step explanation:
Expression:
Solving (1): Fill in the box to make it a polynomial.
To make it a polynomial, we simply fill in the box with a positive integer (say 1)
Fill in the box with 1
Remove the square brackets
Open bracket
Reorder
The above expression is a polynomial.
This will work for any positive integer filled in the box
Solving (2): Fill in the box to make it not a polynomial.
The powers of a polynomial are greater than or equal to 0.
So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial
Fill in the box with -2
Remove the square brackets
Reorder
Open brackets
Collect Like Terms
Notice that the least power of x is -1.
Hence, this is not a polynomial.