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mafiozo [28]
2 years ago
9

What is "shift y= 5x 3 units up"

Mathematics
2 answers:
lesya [120]2 years ago
8 0
It's asking you to shift the graph of; y = 5x up 3 units. if you add 3 to the equation, all y-values will be increased by 3 this shifts the graph up exactly 3 units.

y = 5x + 3
statuscvo [17]2 years ago
4 0
<h2>Answer:</h2>

The shift of y=5x 3 units up is given by:

                       y=5x+3

<h2>Step-by-step explanation:</h2>

The transformation of the type:

                         f(x) to f(x)+k

is a translation or a shift of the original function f(x) ; k units up or k units down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here the original function is given by:

                           y=5x

Now, we have to shift the original function 3 units up.

Hence, the transformed function is given by:

               y=5x+3

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7/8 of a rectangle is colored red. Damien cuts this red part into a number of pieces so that each piece is 1/24 of the whole rec
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Answer: Damien has 21 red pieces

Step-by-step explanation:

First, 7/8 of the rectangle is coloured red.

Then, the 7/8 was cut into a size 1/24 of the rectangle each.

That consequently means that 24 of those pieces will form the whole shape.

Since red covers 7/8 of the rectangle, the number of red pieces invariably becomes

⅞ × 24 pieces, which is equal to 21 pieces

Therefore, Damien has cut the red part of the rectangle into 21 pieces

7 0
2 years ago
a group of 12 adults and 26 children go to a theme park . The total costs of the tickets was £1804.80. An adults ticket costs 51
nadya68 [22]

Answer:

The cost of a ticket for a child is £45.6

Step-by-step explanation:

- A group of 12 adults and 26 children go to a theme park

- The total costs of the tickets was £1804.8

- An adults ticket costs £51.6

- We need to find the cost of a ticket for a child

- Assume that the price of a ticket for a child is £x

∵ The group has 26 children

∴ The cost of children tickets = 26 × (x)

∵ The group has 12 adults

∵ The cost of the adult ticket = £51.6

∴ The cost of adult tickets = 12 × 51.6

∵ The total cost of tickets = 26 × (x) + 12 × 51.6

∴ The total cost of tickets = 26 x + 619.2

∵ The total costs of the tickets was £1804.8

- Equate the two expressions of the total cost

∴ 26 x + 619.2 = 1804.8

- Subtract 619.2 from both sides

∴ 26 x = 1185.6

- Divide both sides by 26

∴ x = 45.6

* The cost of a ticket for a child is £45.6

6 0
2 years ago
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Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o
Fittoniya [83]
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.
8 0
2 years ago
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, a
Kruka [31]

Answer: Maria did not divide correctly

Step-by-step explanation:

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2 years ago
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Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " $ meter on each side. T
larisa86 [58]

Complete question :

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " 5/6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?

Answer:

12

Step-by-step explanation:

Given that:

Length of square block to be used = 5/6 meters

Length of garden. Walkway = 5 m

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Number of square stones required :

Total length of walkway / side length of stones to be used

= 10 meters ÷ (5/6) meters

= 10 * 6/5

= 60 / 5

= 12 stones

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