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liubo4ka [24]
4 years ago
11

Why do you get a positive 2y when you subtract a -2y from a positive 0y?

Mathematics
2 answers:
SVEN [57.7K]4 years ago
6 0
Because -2y +2y equals zero because negitive plus positive always equals zero
VikaD [51]4 years ago
4 0
If the equation is -2y=0, you have to add the the -2y to the other side, so it turns out to be 0=+2y.
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Solve the inequality<br>-5(x - 1) &gt; -40
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Isolate the variable by dividing each side by factors that dont contain the variable x=9

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The streptococci bacteria population N at time t (in months) is given by N = N0e 2t where N0 is the initial population. If the i
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If
likoan [24]

It's easy to show that 7\tan(4x) is strictly increasing on x\in\left[0,\frac\pi8\right]. This means

M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3

and

m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7

Then the integral is bounded by

\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)

\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}

7 0
2 years ago
You have $110 to spend at the mall. You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pa
gladu [14]

Answer:

Part a) The graph in the attached figure (see the explanation)

Pat b)  see the explanation

Step-by-step explanation:

Part a)  Write and graph a system of linear inequalities that represents this situation

Let

x ----> the number of shirts you can buy

y ----> the number of pants you can buy

we know that

The word "at most" is the same that " less than or equal to"

The word "at least" is the same that " greater than or equal to"

so

x+y \leq 6 ----> inequality A

The amount you have to spend minus the number of shirts multiplied by its price minus the number of pants multiplied by its price must be greater than or equal to $20

110-12x-18y \geq 20

Rewrite

12x+18y\leq 90 ----> inequality B

using a graphing tool

see the attached figure

Part b) How many shirts and pairs of pants can you buy at the store?

The solution of the system of inequalities is the shaded area

The solution is all whole numbers included in the shaded area

Example

(0,5),(3,3),(6,0), (3,2),...

6 0
3 years ago
What is equal to 4 1/2 dividend by 2 2/3
4vir4ik [10]

Answer:

Step-by-step explanation:

9/2    /      8/3

9/2 x 3/8

27/16 = 1  13/16

7 0
3 years ago
Read 2 more answers
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