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anyanavicka [17]
4 years ago
13

A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly hei

ght of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
Mathematics
1 answer:
Anestetic [448]4 years ago
4 0
For this we will use equation:

H = starting height + rate_of_growth*periods
We can mark H with index w to represent how many weeks have passed.
Because all of this we can write:

Hw = 200 + 0.5*w

To calculate height after some number of weeks all you need to do is to exchange w with number of weeks.
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Find the zeros of the function: f(x) = x2 -7x + 12 Write your answer like this example: x=2,3 with no spaces.
KATRIN_1 [288]

Whenever a quadratic equation is in the form

x^2-sx+p

(i.e. the leading terms is 1), you can solve it by looking for two numbers that give s when summed and p when multiplied.

So, in your case,

x^2-sx+p = x^2-7x+12 \iff s = 7,\quad p=12

So, we're looking for two numbers x_1,\ x_2 such that:

x_1+x_2 =7,\quad x_1x_2=12

you can clearly check that these numbers are 3 and 4.

7 0
3 years ago
Find the area of the shaded region in the graph y=x^2-2
Artist 52 [7]

By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>How to find the area of the shaded region in the graph y = x² - 2</h3>

The area below the curve can be found by using <em>definite</em> integrals, which is defined here in this form:

I = \int\limits^{1.5}_{0.5} {x^{2}-2} \, dx     (1)

Now we proceed to calculate the area:

I = \int\limits^{1.5}_{0.5} {x^{2}} \, dx - 2 \int\limits^{1.5}_{0.5}\, dx

I = \frac{x^{3}}{3}|_{0.5}^{1.5} - 2 \cdot x |_{0.5}^{1.5}

I = \frac{1.5^{3}-0.5^{3}}{3} - 2 \cdot (1.5 - 0.5)

I = -\frac{11}{12}

By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>Remark</h3>

The statement is incomplete. Complete form is shown below:

Find the area of the shaded region in the graph y = x² - 2, between x = 0.5 and x = 1.5

To learn more on definite integrals: brainly.com/question/14279102

#SPJ1

3 0
2 years ago
An equation is shown below:
Wewaii [24]
First step
5.(2x-8)
= (5.2x) + (5. (-8) )
=10x + (-45)
note :(+) . (-) = (-)
so + (-45)= (-45)


Add 15 to this equation 
= 10x -40 +15= -15
=10x -25= -15
Leave x alone and make it positive
By the way, if you put (-25) in the right term, this number's notation (I mean -) will change 
Namely
= 10x= (-15)+25
=10x= 10
x=1

Hope it helps :)
P.s. I dont know mathematical terms that's why i couldn't explain it properly but i tried to help as far as i can :)


3 0
3 years ago
7,17,27,37,47,57,67 recursive formula​
mote1985 [20]

Answer:

couted by 10

Step-by-step explanation:

5 0
3 years ago
Find the equation of the line that goes through the points (4, –1) and (2, –5).
CaHeK987 [17]

Answer:

m = 2

b = -9

Write the equation in slope-intercept form, y = mx + b.

y = 2x - 9

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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