Answer:
Step-by-step explanation:
<u>Perpendicular lines have negative reciprocal slopes, so the line is:</u>
<u>Finding the value of b, using the given point (-9, -2)</u>
- -2 = -1/3*(-9) + b
- -2 = 3 + b
- b = -2 - 3
- b = -5
<u>The line is</u>
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
Answer:
Step-by-step explanation:
the two ends , made up of triangles make an 8x5x5 box1
box1 = 200
the center piece makes a box2 of 10x8x5
box2 = 400
volume = 600 
350*15 is 5250. That is the total words needed to reach her assignment paper goal. Since there are 60 minutes in an hour we would need to figure out how many words she can type per hour. 60*70 is 4200. Then we divide 5250 by 4200. We get 1.25. Soooo our final answer would be 1 hour and 15 minutes need to be set aside to type her assignment. I really hope this is correct it makes sense to me. If not i am truly sorry.
Answer:
23. 16x² + 4x + 0.25
24. 16x² - 4x + 0.25
Step-by-step explanation:
Given the functions f(x) = 4x + 0.5 and g(x) = 4x - 0.5, questions 23 and 24 are asking you to square the entire function. So, you will take the expression given in each function and square it:
(f(x))² = (4x + 0.5)(4x + 0.5) Using FOIL:
(4x*4x) + (4x*0.5) + (4x*0.5) + (0.5*0.5)
16x² + 2x + 2x + 0.25 = 16x² + 4x + 0.25
(g(x))² = (4x - 0.5)(4x - 0.5) Using FOIL:
(4x*4x) - (4x*0.5) - (4x*0.5) + (0.5*0.5)
16x² - 2x - 2x + 0.25 = 16x² - 4x + 0.25
