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Wittaler [7]
3 years ago
15

Introduction to Functions: Unit Test

Mathematics
2 answers:
taurus [48]3 years ago
8 0

EBVVEBBT uahsiuhdgysa ouh8yo qwqwyiwhq ihwqh ydBUSES ajofojasfasoijf apjifpsija pjia minute ojsafaljakfskjf 7 minutes

Greeley [361]3 years ago
6 0
Multiples of 8 that are less than 60: 8,16,24,32,40,48,56,
so the 8th run is at 8.4 am ; the 10th run is at 8.20 so u only have to wait a minute.
2-I suppose it's the third answer.
3-we can't know how many cars drive by in x minutes without knowing the value of x!



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Solve the equation<br> 3x-2<br> 4<br> -<br> 2x - 5- 1 + x<br> 3 6
Nataly_w [17]

Answer:

  • \boxed{\sf x=12}

Step-by-step explanation:

\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}

First, let's find the LCM of 4, 3, and 6.

<u>How to find the LCM:</u>

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

<u>LCM: 12</u>

<u>_________</u>

Now, we'll Multiply by LCM:

\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12

Simplify:

\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)

Now, expand, Apply the Distributive property:

\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}

\sf  9x-6-8x+20

Combine like terms:

\sf x+14

________

\bold{ 2\left(x+1\right)}

\sf 2x+2

\sf x+14=2x+2

Subtract 14 from both sides:

\sf x+14-14=2x+2-14

Simplify:

\sf x=2x-12

Subtract 2x from both sides:

\sf x-2x=2x-12-2x

Simplify:

\sf -x=-12

Divide both sides by -1:

\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}

\sf x=12

<h3><u>____________________________</u></h3>
7 0
2 years ago
In order to select ne board members the french club heald a election 3 members voted in the election. And 7 did not vote what pe
igor_vitrenko [27]

Answer:

30% members have voted.

Step-by-step explanation:

Given:

Number of members voted = 3

Number of members didn't vote = 7

We need to find what percentage of people voted.

Solution:

First we will find the total number of members in the election.

Now we can say that;

The total number of members in the election is equal to sum of Number of members voted and Number of members didn't vote.

framing in equation form we get;

The total number of members in the election = 7+3=10

Now we will find the percentage of people voted.

So we can say that;

Percentage of members voted can be calculated by dividing Number of members voted from The total number of members in the election and then multiplying by 100 we get;

Percentage of members voted = \frac{3}{10}\times100 = 30\%

Hence 30% members have voted.

8 0
3 years ago
Which point on the axis satisfies the inequality y&lt;x​
Vika [28.1K]

Answer:

every point where x is greater than y or  y-x<0

namely, every point below the straight line y=x that cuts the cartesian plane in two

Step-by-step explanation:

6 0
3 years ago
To which place value is the number rounded? 8.293 to 8.29?
e-lub [12.9K]
It is rounded to the hundredths. 
7 0
3 years ago
Read 2 more answers
A Gardner is planting two types of trees
Nina [5.8K]

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60

Dividing both sides by 6

\frac{10x}{10}=\frac{60}{10}\\x=6

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

  • brainly.com/question/3614284
  • brainly.com/question/3799248

#LearnwithBrainly

4 0
4 years ago
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