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inysia [295]
3 years ago
10

10 < –2b or 2b + 3 > 11

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
<span>10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.

</span><span>10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign:  -5 > b, which is the interval b < -5:  (-infinity, -5).

</span>2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4:  (4, infinity).

It may be helpful to graph these sets.

If you really do mean   "<span>10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals:  b < -5 and b > 4.

</span>
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Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square increasing when the area of the
Vilka [71]

Answer:

Step-by-step explanation:

The rate if increase of side of square is 7cm/s

dL/dt=7

At what area is the area increasing

dA/dt=?

Areas of square is give to be 36cm²

Analysis

Let L be the length of each side of the square, a square has equal side.

Area of square is give as L²

Area=L²

L²=36

i.e L=√36

L=6cm

Therefore at t=0 L=6cm and A=36cm²

A=L²

dA/dL=2L

Given that, dL/dt=7

Multiply the two differential together

dA/dt= dA/dL × dL/dt

dA/dt= 2L × 7

dA/dt= 2×6×7

dA/dt= 84cm²/s

The rate of increase of the square is 84cm²/s

4 0
3 years ago
Please help me ASAP!!
gavmur [86]

I don't like these computer choice thingies. It detracts from the math.


-x - 2y = 7


5x - 6y = -3


If we want to eliminate x we multiply the first equation by 5 then add it to the second:


-5x - 10y = 35


5x - 6y + (-5x - 10y) = -3 + 35


-16y = 32


OK, that's how it's done. Reading through the choices, that's choice D.


8 0
3 years ago
Solve for x. x/m-x/n=1/p
Alex_Xolod [135]
I hope this helps you

5 0
3 years ago
The diagram shows a circle of radius 3 cm drawn inside a square . Write down the exact value of the following and state whether
NISA [10]

a

Step-by-step explanation:

because the circumference

8 0
3 years ago
How many questions would I have to miss on a 25 question test to get 88% ?
N76 [4]
Let's start with the question, how many questions do you need to get 88%?

so were are looking for
?/25 = 88% and 88% is also 0.88 so we can multiply 25 by 0.88

we get 22


But this doesn't here. the question asks us how many mistakes do you need. you can just subtract 22 from 25

25-22= 3
you need 3 misses to get 88%
7 0
3 years ago
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