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JulsSmile [24]
3 years ago
9

Find the area of the small rectangle. 2x + 3 x + 6 x - 5

Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

11x-5

Step-by-step explanation:

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Two square sheets of cardboard used for making book covers differ in area by 64 square inches. An edge of the larger square is 2
photoshop1234 [79]

Answer:

15 inches

Step-by-step explanation:

We assume that the edge of the small square is x (inches).

As the edge of the larger square is 2 inches greater than that of the smaller one, so that the edge of the larger square = edge of the small square  + 2 = x + 2 (inches)

The equation to calculate the are of a square is: <em>Area = Edge^2 </em>

So that:

+) The area of the larger square is: <em>Area large square = </em>(x+2)^{2}<em> (square inches)</em>

+) The area of the smaller square is: <em>Area small square = </em>x^{2}<em>(square inches)</em>

<em />

As difference in area of both squares are 64 square inches, so that we have:

<em>Area large square - Area small square  = 64 (square inches)</em>

<em>=> </em>(x+2)^{2} -x^{2} =64<em />

<em>=>  </em>x^{2}+4x+4  -x^{2} =64<em />

<em>=> 4x + 4 = 64</em>

<em>=> 4x = 64 - 4 = 60 </em>

<em>=> x = 60/4 = 15 (inches)</em>

So the length of an edge of the smaller square is 15 inches

3 0
3 years ago
How do the graphs of the functions f(x)=<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29%5Ex" id="TexFormula1" titl
grin007 [14]

Step-by-step explanation:

f(x) = (3/2)ˣ

g(x) = (2/3)ˣ

These are examples of exponential equations:

y = a bˣ

If b > 1, the equation is exponential growth.

If 0 < b < 1, the equation is exponential decay.

So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.

Also, 2/3 is the inverse of 3/2, so:

g(x) = (3/2)^(-x)

So more specifically, f(x) and g(x) are reflections of each other across the y-axis.

5 0
3 years ago
Match the sequence with the correct indicated term.
algol13
1) an = a1 + d*(n-1) => a20 = -4 + (-9)*19 = -4 - 171 = - 175
1) ---> C)

2) a81 = 20 + 4*80 = 340;
2) ---> A)

3) a12 = ?
3) ---> B) or D).
3 0
3 years ago
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
djverab [1.8K]

Answer:

54 and 30

Step-by-step explanation:

84÷2=42-12=30

42+12=54

5 0
3 years ago
A scientist placed 22.854 g of sodium chloride in a beaker. He then added five times as much calcium chloride as sodium chloride
Bogdan [553]
Starts with 22.854...he then adds 5 times as much...
22.854 + 5(22.954) = 137.124
he divided mixture into 4 dishes
137.124/4 = 34.2810 grams <==
4 0
3 years ago
Read 2 more answers
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