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Gelneren [198K]
3 years ago
5

Sarah bought a mango tree that grows 4 cm each day. It was 10 cm tall when she bought it and now it is 82 cm. Write an equation

to express the growth of this tree. Let "x" represent the number of days Sarah has owned the tree.
Mathematics
1 answer:
Serjik [45]3 years ago
3 0
4x+10=82 The 4 is how much it grows each day and the x is the number of days she had it. and the 10 is how tall it was when she got the tree. the 82 is how high it is now.







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In a recent year, 34.8% of all registered doctors were female.If there were 43,100 female registered doctors that year, what was
charle [14.2K]
Let the total # of reg. docs. be t.  Then 0348t = 43100.  Solve this for t:
        43100 docs
t = ------------------- = 123,851 (rounded up from 123850.57)
            0.348
8 0
3 years ago
Dina is getting a new rug for her hallway. The rug is 5/6 meter wide and 9 meters long. What is the area of the rug?
harkovskaia [24]

Answer:

  7 1/2 square meters

Step-by-step explanation:

The area of a rectangle is the product of its length and width.

  A = LW

  A = (9 m)(5/6 m) = 45/6 m² = 7 1/2 m²

The area of Dina's new rug is 7 1/2 square meters.

7 0
3 years ago
The following list gives the number of pets for each of 9 students.
german

Answer:

2,2,2

Step-by-step explanation:

mode in my study is termed as highest occurrence

7 0
3 years ago
Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16
AleksandrR [38]

Answer:

  (f\cdot g)(x)=\dfrac{7x-21}{x+4}

Step-by-step explanation:

(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}

7 0
3 years ago
A feasible region has vertices at (-1,3), (3,5), (4,-1), and (-1,-2) find the maximum and minimum values of each function
Molodets [167]
Answer: Choice D. 
Max: f (-1,-2)=4; min:f(3,5)=-11

----------------------------------------
----------------------------------------

Work Shown:

Plug in (x,y) = (-1,3)
f(x,y) = -2x-y
f(-1,3) = -2*(-1)-3
f(-1,3) = 2-3
f(-1,3) = -1
------------------
Plug in (x,y) = (3,5)
f(x,y) = -2x-y
f(3,5) = -2*3-5
f(3,5) = -6-5
f(3,5) = -11
------------------
Plug in (x,y) = (4,-1)
f(x,y) = -2x-y
f(4,-1) = -2*4-(-1)
f(4,-1) = -8+1
f(4,-1) = -7
------------------
Plug in (x,y) = (-1,-2)
f(x,y) = -2x-y
f(-1,-2) = -2*(-1)-(-2)
f(-1,-2) = 2+2
f(-1,-2) = 4
------------------
The four outputs are: -1, -11, -7, and 4

The largest output is 4 and that happens when (x,y) = (-1,-2)
So the max is f(x,y) = 4

The smallest output is -11 and that happens when (x,y) = (3,5)
So the min is f(x,y) = -11

This all points to choice D being the answer.

6 0
3 years ago
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