Answer:
5
Step-by-step explanation:
f(-5)=-(-5)^2 - 7(-5) - 5
f(-5)= -25 +35 - 5
f(-5) = -25 +30
f(-5) = 5
The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.
Given:
- Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
- The resulting mixture should be 50 pounds of candy
- The resulting mixture should cost $1.30 a pound
To find: The amount of candy costing $1.25 a pound that should be mixed
Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.
Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '
' pounds of candy costing $1.45 a pound.
Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '' pounds of candy costing $1.45 a pound.
Accordingly, the total cost of the resulting mixture is 
However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is 
Equating the total cost of the resulting mixture obtained in two ways, we get,
This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.
Learn more about cost of mixtures here:
brainly.com/question/17109505
Answer:
parent function is the simplest form of the type of function given.
The transformation from the first equation to the second one can be found by finding , , and for each equation.
Find , , and for .
Find , , and for .
The horizontal shift depends on the value of . The horizontal shift is described as:
- The graph is shifted to the left units.
- The graph is shifted to the right units.
Horizontal Shift: None
The vertical shift depends on the value of . The vertical shift is described as:
- The graph is shifted up units.
- The graph is shifted down units.
Vertical Shift: None
The sign of describes the reflection across the x-
Answer: 171 green marbles
Step-by-step explanation: There are 7 total marbles so 100/7 equals 14.28
Then there is a 2 out of 7 total tries so 14.28 * 2 equals 28.57% chance to get a green marble.
600 * 0.2857 = 171.41 marbles but you cant get half a marble so 171 green marbles.
<h3>Given</h3>
Two positive numbers x and y such that xy = 192
<h3>Find</h3>
The values that minimize x + 3y
<h3>Solution</h3>
y = 192/x . . . . . solve for y
f(x) = x + 3y
f(x) = x + 3(192/x) . . . . . the function we want to minimize
We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.
... f'(x) = 1 - 576/x² = 0
... 576 = x² . . . . . . . . . . . . multiply by x², add 576
... √576 = x = 24 . . . . . . . take the square root
... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y
The first number is 24.
The second number is 8.
