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andreyandreev [35.5K]
3 years ago
15

A plant’s growth rate is observed and recorded for a science experiment. The observer notes that on week 2, the plant is 4 inche

s high. On week 5, the plant is 13 inches high.
Part A: Write an equation in point-slope form that could model the relationship between the week, x, and the height of the plant, y.
Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

Answer:

y - 13 = 3(x - 5)

Step-by-step explanation:

x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.

Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)

side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.

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(e) The cost of building the ship was $153 000 000. Write 153 000 000 in standard form.​
Ostrovityanka [42]

Answer:

1.53 x 10 8

Step-by-step explanation: the 8 is small i just didnt know how to make it small lol

4 0
2 years ago
Direction: True or False
Goshia [24]

Answer:

<u>False </u>Any three points are always coplanar

<u>False </u>Two points are always collinear

<u>False </u>Two planes intersect at a point

Read explanations, as the answer to these questions, is subjective.

Step-by-step explanation:

The definition of coplanar is; figures that exist on the same plane. Any three points might not always be colinear, as some points might exist on one plane, but other points could exist on other planes. To visualize this phenomenon, refer to the attached image. Two points could be on the red plane, but the third could be on the green. Therefore, while there are three points, not all of them exist on the same plane. However, another plane can be constructed to connect these points, bear in mind certain problems might specifically indicate that three points are not coplanar, therefore, the answer is false.

The definition of collinear is existing on the same line. This statement is a little subject, it can be both true and false depending on the way one looks at it. A line can be drawn to connect any two points, one only needs two points to determine a line. So technically two points are always collinear. However, it also depends on the circumstance. Certain geometry problems might specifically indicate that two points are not collinear. Thus, it really depends on the context. Therefore, the answer is technically false.

Two planes usually intersect on a line. To understand this, please refer to the image attached. Tehcnailly, if a corner of one plane intersects another, then one can state that the plane intersects on a point, but typically, planes intersect on lines. Therefore, technically the answer to this problem is false, as two planes usually intersect on a line.

Images credits: Geogebra

8 0
3 years ago
Read 2 more answers
Finding the area of A=1/2bh
DiKsa [7]

Yes that is correct.

6 0
3 years ago
Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.
soldier1979 [14.2K]

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) =  lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

brainly.com/question/26092237

#SPJ9

4 0
2 years ago
Manny and Emma are entering a long jump competition at their school. Manny can jump 4/5 of the distance Emma can jump. Manny can
valina [46]


50 inches       4/5*x=40

                       x=40/(4/5)

                        x=40*5/4=200/4=50          x=50 inches

5 0
3 years ago
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