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nydimaria [60]
1 year ago
7

Subtract-3x - 8 from 4x² - 7x - 2.

Mathematics
1 answer:
allsm [11]1 year ago
3 0

( {4x}^{2}  - 7x - 2) - (3x - 8) \\  \\  {4x}^{2}  - 7x - 2 - 3x + 8 \\  \\  {4x}^{2}  - 10x + 4.

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1-58. Mr. Wright was making a table to figure out how much it costs to send a certain numt
Drupady [299]

A table of values can be used to represent variables that are directly proportional.

The complete table of proportions is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

Given that

\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]

Let:

<em />L \to<em> Letters</em>

<em />C \to<em> Cost</em>

<em />

Using proportional reasoning, we have:

C  = kL

Where

<em />k \to<em> ratio of proportion</em>

For the first values of C and L, we have:

C  = kL

0.45 = k \times 10

Divide both sides by 10

k = 0.045

So, the equation of proportion is:

C = 0.045L

<u>When C = 6.75, we have:</u>

C = 0.045L

6.75 = 0.045L

Solve for L

L = \frac{6.75}{0.045}

L = 150

<u>When L = 7, we have:</u>

C = 0.045L

C = 0.045 \times 7

C = 0.315

<u>When L = 1, we have:</u>

C = 0.045L

C = 0.045 \times 1

C = 0.045

<u>When L = 500, we have:</u>

C =0.045L\\

C =0.045 \times 500

C =22.5

<u>When C = 18.90, we have:</u>

C = 0.045L

18.90 = 0.045L

Solve for L

L=\frac{18.90}{0.045}

L=420

Hence, the complete table is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

Read more about proportions at:

brainly.com/question/21126582

8 0
2 years ago
The Oregon trail is 2.197 miles long. How long would it take a covered wagon travelling 20 miles a day to complete the trip? Wri
Bess [88]

Answer: It needs 2.4 hours to complete the trip.

Step-by-step explanation:

Since we have given that

Length of Oregon trail = 2.197 miles

Speed at which it travel = 20 miles per day

we need to find the time taken by it ,

As we know that

Time=\frac{Distance}{Speed}

Time=\frac{2.197}{20}\\\\Time=0.10\text{ days}

So,

it will be changed into hours

1\text{ day}=24\text{ hours}\\\\0.1\text{ day}=24\times 0.1=2.4\text{ hours}

so, it needs 2.4 hours to complete the trip.


3 0
3 years ago
There are 34 Pre-K children and 29 kinder garden children on the playground, some boys and some girls. The ratio of boys to girl
Natali [406]

There are 27 boys on the playground.

Step-by-step explanation:

No. of Pre-K children = 34

No. of kindergarten children = 29

Total no of children = 29+34 = 63

Ratio of boys to girls = 3:4

Total ratio = 3+4 = 7

Therefore,

boys proportion = \frac{3}{7}

Total number of boys = \frac{3}{7}\ of\ total\ number\ of\ children

Total\ number\ of\ boys = \frac{3}{7} *63\\Total\ number\ of\ boys = \frac{189}{7} \\Total\ number\ of\ boys = 27

There are 27 boys on the playground.

Keywords: Proportion, division.

Learn more about proportion at:

  • brainly.com/question/2283067
  • brainly.com/question/2284968

#LearnwithBrainly

5 0
2 years ago
what is the Recursive Formula and the Explicit Formula for Let a1=2, 9, 16, 23, and Let a1=2, 14, 98, 686, ...
Romashka [77]

Answer:

Step-by-step explanation:

I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)

For 2,9,16,23...

Recursive is a(n+1)=an+7

Explicit is an=2+7(n-1)

(or more neatly an=7n-5)

For 2,14,98,686...

Recursive is a(n+1)=7an

Explicit is an=2(7^(n-1))

(or (2/7)7^n )

7 0
3 years ago
Zykia bought a riding lawnmower for 1,270 on the installment plan. She paid a down payment of $60 and agreed to pay $80 a month
pshichka [43]

Answer:

1,500

Hope this helps

3 0
2 years ago
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