Answer:
Step-by-step explanation:
Given
Translation = 3 units down
Vertical stretch of 2 to give g(x)
Required
3 units down translation
A function is translated down as follows:
Where k is the number of units.
So:
Vertical stretch of 2
A function is vertically stretched as follows;
Where a is the units stretched.
In this case:
So:
I think the answer is 25 miles.
6+4+.7x= 27.50
10+.70x= 27.50
.70x= 17.50
Divide both sides by .7 and the answer is 25.
To isolate the variable multiply both sides by 5.
-3 = x/5
-3*5 = x/5 * 5
-15 = x
Answer:
Step-by-step explanation:
A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.
The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.
Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.
Using the quadratic formula:
-4 ±√[-40] -4 ± 2i√10
x = ------------------ = ------------------
4 4
-2 ± i√10
Thus, the roots are x = ------------------
2
There are 4 different ways in which Philip can roll a 5
