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Ksju [112]
3 years ago
12

Six tubs for 12 piano lessons find the unit rate

Mathematics
1 answer:
V125BC [204]3 years ago
5 0
12 / 6

Therefore the answer is 2

Hope this helped you today,

Have a good dayN
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In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio
Nitella [24]

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).              

 

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

<u>The equation for the hole</u>

x^{2} + y^{2} = 5   (1)

<u>The equation for the path of the bean bag</u>

y = 0.5x^{2} + 1.5x - 4    (2)

By entering equation (2) into (1) we have:  

x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5

x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5    

0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0

By solving for <em>x</em>, we have:

x₁ = 1

x₂ = 2

Now, for <em>y</em> we have (eq 2):

  • <u>x₁ = 1</u>    

y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2

  • <u>x₂ = 2</u>

y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1                                              

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults        

I hope it helps you!

8 0
3 years ago
A 3ed degree binomial with a constant term of 8
Svet_ta [14]

Answer:

4m³+8 is a 3rd degree binomial with constant term of 8.

Step-by-step explanation:

  • A binomial expression consists of two terms.

For example,

m+n is a binomial, where m and n are two terms.

  • As we know that the degree of the polynomial is said to be the highest exponent of any of the terms.

For example, in expression 7m + 3, the exponent of m is 1. So it is 1st degree polynomial.

Similarly, in the expression 10m²+9m, variable m has the highest exponent which is 2. So it is 2nd degree polynomial.

Now, let us write a 3rd degree binomial with a constant term of 8

4m³+8

As it has two terms which are 4m³ and 8, Therefore, it would be called binomial.

Also the highest exponent with variable m is 3. Therefore it would be a 3rd degree binomial with constant term of 8.

7 0
3 years ago
41.2 x 1.5. Then explain where the decimal point should go and why
Vinil7 [7]

Answer:

This is really simple, here i'll explain:

Step-by-step explanation:

41.2 x 1.5=

count how many spaces are after the decimal point.

for example, 41.2 has 1 space after the decimal point. The decimal 1.5 also has 1 space after the decimal point. So if you add the spaces it would be 2 because 1 + 1 = 2

After that, take away the decimal point, and just multiply like you normally would.

412 times 15

this would be 6180

after you do the multiplication, you will add the decimal point.

The decimal point will go in between 1 and 8 because there were 2 spaces after the decimal point in the numbers, and if you add them it would be 2 spaces.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Can an equation have equal expressions
Alona [7]
Yes it can have equal expressions
4 0
3 years ago
Assume that f is a one-to-one function.
Pavlova-9 [17]

It is given in the question that f is a one-to-one function.

And for a one-to - one function,

If

f(a)=b, \ then \ f^{-1} (b) =a

So we will get

a. If \ f(3)=15, \ then \ f^{-1} (15) =3&#10;\\&#10;b. If \  f^{-1}(6)=4, \ then \ f(4)=6

3 0
3 years ago
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