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3 years ago

Expand and simplify (n-2)(3n+7) + 2n(2n+3)

Mathematics

1 answer:

KonstantinChe [14]3 years ago

6 0

3n^2+7n-6n-14+4n^2+6n= 7n^2+7n-14

Hope that helps and best of wishes!

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The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?

ollegr [7]

Given:

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.

The point is (-3,-2).

To find:

The image of given point after the transformation.

Solution:

Consider the given point be P(-3,-2).

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.

If a figure translated by T⟨–5, 3⟩, then

$(x,y)\to (x-5,y+3)$

$P(-3,-2)\to P'(-3-5,-2+3)$

$P(-3,-2)\to P'(-8,1)$

If a figure reflected by R x-axis, then

$(x,y)\to (x,-y)$

$P'(-8,1)\to P''(-8,-1)$

Therefore, the image of given point after transformation is (-8,-1).

3 0

2 years ago

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to

Arisa [49]

Ratio of US to Indian stamps is 5:2
U/I = 5:2
= 25:10

Ratio of Indian to British stamps is 5:1
I/B = 5:1
= 10:2

Now , Ratio of US to British stamps
U/B = 25:2

The answer is E.

4 0

2 years ago

If the exchange rate when converting US dollars to Za rands is $1=R17

den301095 [7]

<h3>Given:</h3>

1 US Dollar= R17

How much is $100 in ZA rands.

<h3>Solution:</h3>

Let the unknown be "x"

$\frac{1}{17}×\frac{100}{x}$

We'll have to do cross multiplication.

So we'll have to multiply 100 and 17.

$100×17$

$\huge\boxed{= 1700 \: ZA \: rands}$

Therefore, $100 is 1700 ZA rands.

8 0

1 year ago

It cost 5 dollars for a child ticket and 8 dollars for a adult ticket. Total tickets sold were 110 bringing in 820 dollars? How

omeli [17]

Number of child tickets bought is 20

<h3>Solution:</h3>

Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket

cost of each child ticket = 5 dollars

cost of each adult ticket = 8 dollars

Let "c" be the number of child tickets bought

Let "a" be the number of adult tickets bought

Total tickets sold were 110 bringing in 820 dollars

Number of child tickets bought + number of adult tickets bought = 110

c + a = 110 ----- eqn 1

Also we can frame a equation as:

Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

$c \times 5 + a \times 8 = 820$

5c + 8a = 820 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "c" and "a"

From eqn 1,

a = 110 - c ------ eqn 3

Substitute eqn 3 in eqn 2

5c + 8(110 - c) = 820

5c + 880 - 8c = 820

-3c = - 60

c = 20

Therefore from eqn 3,

a = 110 - 20 = 90

a = 90

Therefore number of child tickets bought is 20

8 0

3 years ago

Ashley needs to buy some pencils. Brand A has 20 pencils for $6. Brand B has 40 pencils for $8.50. Based on the unit price, whic

Kruka [31]

Answer:

The answer to your question is Brand B

Step-by-step explanation:

Data

Brand A amount of 20 pencils cost $6

Brand B amount of 40 pencils cost $8.5

Process

1.- Calculate the unit price of each brand of pencils dividing the cost by the number of pencils

Brand A 6/20 = $0.3

Brand B 8.5/40 = $0.21

2.- Conclusion

Brand B is a better deal because you buy more pencils for a lower price.

3 0

2 years ago