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drek231 [11]
3 years ago
6

Enter the value of p so the expression 5/6-1/3n is equivalent to p(5-2n)?

Mathematics
1 answer:
inna [77]3 years ago
4 0
P needs to be something that is multiplied through 5-2n to equal 5/6-1/3n.  Since you see that there is a 5 of somesort in both equations an easy place to start is simply making p=1/6.  Once you do that then 5*1/6=5/6 so the first part is okay. Then 2n*1/6=2n/6 which is able to be reduced to n/3.
Based on this it is clear that p should equal 1/6.

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Slav-nsk [51]

Answer:

exponential growth function

Step-by-step explanation:

exponential growth function because the numbers are positive so it'll go up idk the number but until somebody else answers you can do process of elimination


3 0
3 years ago
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The base of a triangle is 3 more than 2 times of height. Determine the dimensions that give total area of 10 square feet.
Alona [7]

Answer:

height = 2.5 ft , base = 8 ft

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

height = h then base = 2h + 3 and A = 10 , then

\frac{1}{2} h(h + 3) = 10 ( multiply both sides by 2 to clear the fraction )

h(h + 3) = 20 , that is

h² + 3h = 20 ( subtract 20 from both sides )

h² + 3h - 20 = 0 ← in standard form

(h + 4)(2h - 5) = 0 ← in factored form

equate each factor to zero and solve for h

h + 4 = 0 ⇒ h = - 4

2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5

but h > 0 , then h = 2.5

and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8

that is height = 2.5 ft and base = 8 ft

3 0
2 years ago
If you were to solve this inequality,<br> do you need to flip the Inequality symbol?
Pavlova-9 [17]

Answer: no

I would not flip the inequality symbol

8 0
3 years ago
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Mama L [17]

Answer:

MEE PLAESE

Step-by-step explanation:

4 0
3 years ago
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What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
andriy [413]
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>

Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
3 0
3 years ago
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