Answer:
3 pounds of peanuts and 2 pounds of cashews
Step-by-step explanation:
Let x be the pounds of peanuts and y be the pounds of cashews
Greta wants to make 5 pounds of a nut mix using peanuts and cashews.
So,
----- A
Cost of 1 pound of peanuts = $4
Cost of x pounds of peanuts = 4x
Cost of 1 pound of cashews = $9
Cost of y pounds of cashews = 9y
Her budget requires the mixture to cost her $6 per pound
So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)
So,
--- B
Plot A and B
---Blue
---Green
Refer the attached figure
Intersection point = (x,y)=(3,2)
Hence she should use 3 pounds of peanuts and 2 pounds of cashews
Answer:
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Step-by-step explanation:
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4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>
The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
<h3>Missing Information</h3>
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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<u>Information:</u>
Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.
<u>Define x:</u>
Let x be the number of books sold.
<u>Construct Equation:</u>
For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x
<u>Solve x:
</u>
24.5x = 32634 + 8.75x
Take away 8.75x from both sides:
15.75x = 32634
Divide both sides by 15.75:
x = 2072
Answer: The publisher must sell 2072 books.
2x² + 6x - 3 + 2x³ - 3x + 2
Combine like terms
2x³ + 2x² + 6x - 3x - 3 + 2
Final answer:
2x³ + 2x² + 3x - 1