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Tcecarenko [31]
3 years ago
11

Write the expression for when you translate the graph of y = |3x|− 5 one unit to the right.

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer:

y=|3x-3|-5

Step-by-step explanation:

Notice that we are requested to perform a horizontal shift of on unit to the right. Recall that a horizontal shift of one unit to the right involves the operation of subtracting from the variable "x" one unit.

Therefore, this implies the following mathematical transformation to the variable "x":

y=|3(x-1)|-5\\y=|3x-3|-5

where we simply completed distributive property to get rid of the parenthesis inside the absolute value.

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I think its (3.5, -3)
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21. Which property is used to simplify the expression 5(3x + 18) to 152 + 90?
chubhunter [2.5K]
You distribute your 5 to 3x and 18 heirij irn is
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Two kilos of taronges and three kilos of mandarins cost 11.50 euros. Three kilos of taronges and two of mandarins cost 11 euros.
Illusion [34]

Answer:

Hence the pricing for each product will be taronges with 2 euros and mandarins with 2.5 euros.

Step-by-step explanation:

Given:

2 kg of taronges and 3 kg mandarins cost 11.5 euros

3kg taronges and 2 kg mandarins cost 11 euros

To Find:

Price for each product

Solution:

<em>Consider </em>

<em>Taronges =x euros</em>

<em>Mandarins=y euros</em>

So by given condition,

2x+3y=11.5  ....................equation(1)

and 3x+2y=11 ..............equation (2)

So , using substitution method,

3x=11-2y

x=11-2y/3 .......equation (3)

Using above value in equation(1) we get ,

2(11-2y)/3+3y=11.5

y=(11.5*3-22)/5)

y=2.5 euros

Using above value in equation(3)  we get ,

x=(11-2y)/3

x=(11-2*2.5)/3

x=(11-5)/3

x=2 euros

5 0
4 years ago
Miguel is reading a 338-page book. In the first 40 minutes he spends reading, he reads 52 pages. If he continues reading at the
viktelen [127]

Answer: 260 minutes.

Step-by-step explanation:

This represents the ratio between the minutes he reads and the pages he reads: 40 : 52

The book Miguel is reading is 338 pages long. Miguel also reads 52 pages in 40 minutes. You can divide 338 by 52, which is equal to 6.5.

If it takes Miguel 40 minutes to read 52 pages, then we can multiply that by 6.5. 40 x 6.5 = 260.

In conclusion, it will take Miguel 260 minutes to read the entire book, or 4 hours and 20 minutes.

4 0
3 years ago
Read 2 more answers
Set up an algebraic inequality, solve, and write a sentence answering the question. Jasmine has a goal to workout a total of at
Leviafan [203]

Answer:

6 work out sessions

Step-by-step explanation:

From the above question, we know that:

Jasmine has a goal to workout a total of at least 6 hours this week.

Her workout sessions are always 3/4 an hour long.

Hence: Her total workout sessions

3/4 hour = 1 workout session

6 hours = x

Cross Multiply

3/4 × x = 6 × 1

x = 6/3/4

x = 6 ÷ 3/4

x = 6 × 4/3

x = 8 work out sessions

We are told that:

She already worked out for 1 1/2 hours.

Hence: if :

3/4 hour = 1 workout session

1 1/2 hours = x

Cross Multiply

3/4 × x = 1 1/2

x = 1 1/2 ÷ 3/4

x = 3/2 ÷ 3/4

x = 3/2 × 4/3

x = 2 work out sessions

Therefore:

the minimum number of workout sessions she would need to complete in order to achieve her weekly goal is calculated as:

8 work out sessions - 2 work out sessions

= 6 work out sessions

Converting this to workout sessions

7 0
3 years ago
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