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kari74 [83]
3 years ago
8

The height of the plant is given by the equation h = 0.5d + 4. Rewrite this as a function rule where f(x) is the height, in cent

imeters, and x is the time, in days. Use the rule to complete the table, and then use the drawing tools to create the graph representing this relationship.

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

Here's what I get  

Step-by-step explanation:

h = 0.5d + 4

A function rule tells you how to convert an input value (x) into an output value (y).

Your function rule is

ƒ(x) = 0.5x + 4

An easy way to represent your function is to make a graph.

The easiest way to make a graph is to make a table containing some inputs and their corresponding outputs.  

Here's a typical table.

\begin{array}{cc}\textbf{x}  &\textbf{y} \\0 & 4 \\2 & 5 \\4 & 6 \\6 & 7\\6 & 8 \\\end{array}

The graph is like the one below.

You might be interested in
Can someone please help me​
4vir4ik [10]

Answer:

40

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

\frac{80-20}{40-10}  = \frac{60}{30}  = 2

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

3 0
2 years ago
Someone please help me I’ll give out brainliest please don’t answer if you don’t know
natita [175]

Answer:

$14.77

Step-by-step explanation:

5 0
2 years ago
Identify the slope of the line passing through the pair of points (5,2) and (-2,1). *(1point)
olga nikolaevna [1]

Answer:

m= 1/7

Step-by-step explanation:

To solve for slope: y2- y1/ x2- x1 so,

1-2/ -2-5

= -1/ -7

= 1/7

8 0
3 years ago
Read 2 more answers
pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base
kaheart [24]

Answer:

  First "order of operations" mistake: step 2

  First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

  \left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}

for x = -1 and y = 2.

Her work seems to be ...

<u>Step 1</u>

  \text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}

<u>Step 2</u>

  \text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}

<u>Step 3</u>

  \text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}

<u>Step 4</u>

  \text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

  \left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}

__

We expect your answer is supposed to be Step 4.

7 0
3 years ago
The student-to-faculty ratio at a small collage is 17:3. The total number of students and faculty is 740. How many faculty membe
kozerog [31]

There are 111 faculty members at the college and 629 students at the college.

Step-by-step explanation:

Given,

The student to faculty ratio = 17:3

Total number of 740.

Let,

x be the original number.

Number of students = 17x

Number of faculty = 3x

Number of students + Number of faculty = 740

17x+3x=740\\20x=740

Dividing both sides by 20

\frac{20x}{20}=\frac{740}{20}\\x=37

Number of students = 17x = 17*37 = 629

Number of faculty = 3x = 3*37 = 111

There are 111 faculty members at the college and 629 students at the college.

Keywords: ratio, multiplication

Learn more about multiplications at:

  • brainly.com/question/663692
  • brainly.com/question/6569012

#LearnwithBrainly

6 0
3 years ago
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