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Ivanshal [37]
3 years ago
12

A giant bamboo plant grew an average of 18 centimeters per year.The botanist started measuring the plant when it was 5 centimete

rs tall. If "Y" represents the number of years the botanist has measured the plant,what expression represents its height?
Solve,and show each step.
Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
H=height
y=number of years.

we have the next expresion:
h(y)=my+b  

m=the slope of the line, in this case, the slope is equal to "18"; (18 cm/ year).
b=the initial heigth, in this case, the initial heigth is equal to "5" (5 cm).

Therefore, our  expression will be:
h(y)=18y +5

answer: h(y)=18y+5


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Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32
Inga [223]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

−

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

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3 years ago
A baseball player reaches first base 20% of the times he is at bat. Out of 70 times at bat, about how many
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Roughly 14 times as 20% of 70 is 14.

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The length of sides of triangular fields are 10m, 24m and 26m. A farmer grows flowers in this field. If 5kg flowers can be obtai
Ostrovityanka [42]

Answer:

Area: 120m²

Flowers: 600kg

Step-by-step explanation:

we can use Heron's formula to solve for the area.

Heron's formula:

Area of triangle = \sqrt{ s(s-a)(s-b)(s-c)}

s = 1/2 (a+b+c)

s = 1/2 (10 +24+26)

s = 30

Area of triangle

=\sqrt{30(30-10)(30-24)(30-26)} \\=120m^{2}

Since every 1 m² of area can grow 5kg of flowers,

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120 x 5

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That's the answer and how you do it.

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