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yawa3891 [41]
3 years ago
9

X + 20 is greater than 4x -1

Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

False; they are equal.

Step-by-step explanation:

The equation is x + 20 > 4x - 1.

First, do the opposite of -1 and add one to the other side while -1+1 cancels out. Now it's x+21 > 4x. Now subtract x from both sides. Positive x minus negative x cancels out and 4x minus x or 1x is 3x. Now you're left with 21> 3x. Now do the inverse operation of multiplication and divide both sides by 3. Now the 3x over 3 cancels out and 21 divided by 3 is 7. So x is 7. If you substitute it in. It will be 7+20 which is 27 which is great than 4(7)-1 which is 28-1. 28-1 is 27. So, the equation is false. They are equal.

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Which of the following has no solution? 5x−10=x+20 2(6+x)=14+2x 0x+5=3(5x+7) 2(4+x)=8+2x
ser-zykov [4K]

Answer:

2(6+x)=14+2x

Step-by-step explanation:

There are no solutions

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3 years ago
Urbanization is more than the growth of cities. it represents a change in economic, social, and
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Find the 7th term of the expansion of (3c + 2d)9.
SIZIF [17.4K]
\bf (3c+2d)^9\\\\
-------------------------------\\\\

\begin{array}{crcll}
term&&value\\
-----&&-----\\
1&&(3c)^9(2d)^0\\
2&+9&9(3c)^8(2d)^1\\
3&+36&(3c)^7(2d)^2\\
4&+84&(3c)^6(2d)^3\\
5&+126&(3c)^5(2d)^4\\
6&+126&(3c)^4(2d)^5\\
7&+84&(3c)^3(2d)^6\\
\end{array}

now.. if you notice, the exponent for the 1st term, is dropping on each term subsequently, start with highest, 9 in this case, and drops drops drops, till on the last term, will be 0

the exponent for the second term, starts off at 0, and goes up up and up on each term

that part is simple... now, the coefficient for them

the first one will have a coefficient of 1, so we can take a closer look at the 2nd instead

the coefficient for the second is 1* 9/ 1
(1) the coefficient of the current term, (9) the exponent of the 1st term, and (1) the exponent of the 2nd term on the next term

for example, how did we get 84 for the 4th term?   (36 * 7) / 3 = 84

and so on for all subsequent terms
8 0
3 years ago
The price of a television before tax is $1625.00. The total price with tax is $1,803.75. What is the rate of the sales tax?
Oksanka [162]

Answer:

11%

Step-by-step explanation:

A sales tax is placed on goods and services once the buyer and seller  agree on what the exchange of currency is.

In this case you take the tax on the 1625 and not the 1803.75.

The buyer agreed to buy the item for 1625 and the seller agreed to sell it for that amount. So the tax goes on 1625.

Tax amount = total price - selling price

Tax amount = 1803.75 - 1625

Tax amount = 178.75

That's not what you want. You want the % of the tax.

% Tax = (Tax Amount / Selling Price) * 100

% Tax = (178.75 / 1625) * 100

% Tax = 0.11 * 100

% Tax = 11%                        Answer

8 0
3 years ago
Find a cartesian equation for the curve. r = 9 sin(θ)
Paul [167]
For this case we have the following equation:
 r = 9 sin (θ)
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 y = r * sine (θ)
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 r = 9 sin (θ)
 r = 9 (y / r)
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 On the other hand:
 r ^ 2 = x ^ 2 + y ^ 2
 Substituting values:
 x ^ 2 + y ^ 2 = 9y
 Rewriting:
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 Completing squares:
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 Rewriting:
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 Answer:
 
The Cartesian equation is:
 
4x ^ 2 + (2y-9) ^ 2 = 81
6 0
2 years ago
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