Answer:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = 1/5|h - 240| - 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet).
Step-by-step explanation:
Answer:
Step-by-step explanation:
- 3x-2y =7
- x+2y= -3
- 4x=4
- x=4/4
- x=1
- 3x-2y=7
- 3(1)-2y=7
- 3-2y=7
- -2y=7-3
- -2y=4
- 2y=-4
- y=-4/2
- y= -2
- Verify solution
- x+2y= -3
- 1+2y= -3
- 2y=-3-1
- 2y= -4
- y= -4/2
- y= -2
Answer:
x = 17
Step-by-step explanation:
For the parallelogram to be a rhombus then then the diagonal must bisect the given angle, thus
3x - 11 = x + 23 ( subtract x from both sides )
2x - 11 = 23 ( add 1 to both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Answer:
Step-by-step explanation:
Please use " ^ " to denote exponentiation: f(x) = x^2 + 4x - 21.
This function has a graph which is a parabola that opens up.
Its vertex is found by completing the square:
x² + 4x + 4 - 4 - 21, or
(x + 2)² - 25
Comparing this to the standard equation
(x - h)² + k, we see that h = -2 and k = -25.
Thus, the vertex (and the minimum of this function) is (-2, -25).
Thus, the range is [-25, ∞ ). This being a polynomial function, it has no restrictions on the domain: the domain is (-∞, ∞ )
<u>Answer:</u>
Nickels = 44.6
Dimes = 3.4
<u>Step-by-step explanation:</u>
We know that Jessica has 48 coins of which some are nickels and some are dimes so we can write it as:
n = amount of nickels
d = amount of dimes
--- (1)
We are to find the number of nickels and dimes if their total worth is $3.25.
Since a dime is worth 10¢ and a nickel is 5¢, so it should be:
--- (2)
From (1):
Substituting this value of 
in (2) to get:
Finding by substituting the value of 
:
