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Alex17521 [72]
3 years ago
7

What is the 3rd term when 2y2 + 3y4 – 5y + 6y3 is arranged in descending order?

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0
Arranged in descending order means the terms are arranged in the order of the exponent, from the  largest to the smallest. the exponent is the little number up right to y, 
3y^4+6y^3+2Y^2-5y
so the third term is 2y^2
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Solve 2 1/2 divided by 5 1/3 = 8/x
ipn [44]
2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  }

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

\frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }

Let's equal this too 8/x

\frac { 15 }{ 32 } =\frac { 8 }{ x }

Cross multiply. 

8\cdot 32=15\cdot x\\ \\ 256=15x

Divide both sides by 15.

\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x

4 0
3 years ago
Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 8% each year, In 2005, abou
Kryger [21]

Answer:

This is an exponential growth problem.

 

The growth rate is 4% (0.04).

The time is 10 years (10 years from 2005 to 2015)

 

A = P(1+i)t

A = amount spent in 2015

P = amount spent in 2005

i = interest rate expressed as a decimal

t = # years

 

A = 500(1.04)10

A = 500(1.480244)

A = 740.122 ==> 740 billion

Step-by-step explanation:

3 0
3 years ago
Vertex of -2(x+3)^2+7
alekssr [168]

Answer:

The vertex is (-3, 7)

Step-by-step explanation:

As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:

the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.

So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).

Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).

6 0
3 years ago
Which function has the greater rate of change?
kompoz [17]

Answer: Function 1

Step-by-step explanation:

Function 1 has rate of change of

(15.75 - 14.25)/(1 -(-1)) = 0.75. This was calculated using slope formula.

Function 2 has rate of change of 5/6, which is 0.833.

8 0
3 years ago
Help me pls :(
omeli [17]

Answer: 7.2^{6}

***If you found my answer helpful, please give me the brainliest. :) ***

3 0
3 years ago
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