The range of the function is f(x) <= 4
<h3>How to determine the range?</h3>
The attached graph is the missing piece in the question
The function f(x) is given as:
- 2 lines connected
- Horizontal line y = 4 to (0, 4)
- Another line from (0, 4) through (4, 0)
The above means that, the value of the function do not exceed y = 4
Hence, the range of the function is f(x) <= 4
Read more about range at:
brainly.com/question/1632425
#SPJ1
Answer: A = 0.22
F = 19.78
Step-by-step explanation:
Let Organic Free Trade coffee = F
It normally sells for $8.90 per pound. That is 8.9F
Let Arabian Mocha coffee = A
It normally sells for $13.40 per pound. That is 13.4A
The mixture to create 20 pounds of a coffee that can sell for $8.90 per pound.
Also, they want to create 20 lbs of coffee that can sell for $8.9/lb. If we multiply each kind of coffee blend to be mixed by their respective amounts (in pounds) to be mixed then their sum should be equal to the total cost of the new coffee created, which is the selling price for the new coffee multiplied by the total amount (in pounds) created. That is,
F + A = 20 ......(1)
8.9F + 13.4A = 8.9 × 20.......(2)
Multiply equation 1 will 8.9
8.9F + 8.9A = 178
8.9F + 13.4A = 178
Eliminate F using simultaneous equation. That is eqn 2 - eqn 1
4.5A = 1
A = 0.22
Substitute A in equation 1
F = 20 - 0.22
F = 19.78
Question-
What is the equation of a line that passes through the point (6,-8) and is perpendicular to the line whose equation is Y=2/3 x+3
Answer-
y = x/2 + 3......x/2 is the same as 1/2x....so u have a slope of 1/2.
A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the slope and change the sign. So we have 1/2....and we flip it making it 2/1....and we change the sign making it -2/1 or just -2. So ur perpendicular line will have a slope of -2.
y = mx + b
slope(m) = -2
(1,8)...x = 1 and y = 8
now we sub and find b, the y int
8 = -2(1) + b
8 = -2 + b
8 + 2 = b
10 = b
so ur perpendicular equation is : y = -2x + 10 <==
Hope i helped have a wonderful day...
Distance equals final position minus initial position.
d=18--23
d=18+23
d=41 units
Answer: 225
<u>Step-by-step explanation:</u>
n₁ = 2(1) - 1
= 2 - 1
= 1
n₁₅ = 2(15) - 1
= 30 - 1
= 29
= 15 * 15
= 225
