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Eddi Din [679]
3 years ago
12

(9x2 + 10x + 4) − (9x2 + 5x − 1)

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

For this case we must simplify the following expression:

(9x ^ 2 + 10x + 4) - (9x ^ 2 + 5x-1)

We eliminate the parentheses taking into account that:

- * + = -\\- * - = +\\9x ^ 2 + 10x + 4-9x ^ 2-5x + 1 =

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

9x ^ 2-9x ^ 2 + 10x-5x + 4 + 1 =\\5x + 5

Answer:

5x + 5

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aliina [53]
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u_n=r\times n+u_0\text{ wherein r is the rate of the sequence}
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A geometric sequence is in the form:
u_n=u_0r^n\text{, again u0 the first value and r the rate. }\\\text{If }u_0=1\text{ the formula becomes:}\\u_n=r^n=e^{n\log r}\text{ which is an exponential formula.}
3 0
3 years ago
A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 2x + 10 and EC = 4x − 18, find the distance betwee
gavmur [86]

Answer:  The required distance between the top and bottom of the bridge is 76 feet.

Step-by-step explanation:  Given that a new bridge structure requires triangles that are in a ratio of 1:1.

AC = 2x + 10 and EC = 4x − 18.

We are to find the distance between the top and bottom of the bridge, in feet.

Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.

The sides AC and EC are corresponding to each other, so we must have

AC:EC=1:1\\\\\Rightarrow \dfrac{AC}{EC}=\dfrac{1}{1}\\\\\Rightarrow AC=EC\\\\\Rightarrow 2x+10=4x-18\\\\\Rightarrow 4x-2x=10+18\\\\\Rightarrow 2x=28\\\\\Rightarrow x=\dfrac{28}{2}\\\\\Rightarrow x=14.

Therefore, the distance between the top and bottom of the bridge is

EA\\\\=EC+AC\\\\=4x-18+2x+10\\\\=6x-8=6\times14-8\\\\=84-8\\\\=76~\textup{feet}.

Thus, the required distance between the top and bottom of the bridge is 76 feet.

6 0
4 years ago
Find the perimeter of a trapezoid with sides that measure 13.1 inches, 5.8 inches, 5.4 inches and 16 inches.
Zigmanuir [339]
A trapezoid has 4 sides. You have everything you need, just add them together. The perimeter of this trapezoid is 40.3 inches or 3.358 feet. 
6 0
3 years ago
Read 2 more answers
Marking brainlist for whoever gets it right first
fredd [130]
X= 4
3 by 32

or

2x + 4 by 6x +12
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3 years ago
Johnny paid $42 for 12 cartons of orange juice. What is the unit rate, in dollars per carton, of orange juice that Johnny paid?
Assoli18 [71]

First, you do

<em>42 </em>divided by <em>12</em>

<em>42/12</em>

That will equal = <em>3.5</em>

So the correct answer is the first one

<em>$3.50</em> per carton

3 0
3 years ago
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