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aliya0001 [1]
3 years ago
7

22−2x<38

Mathematics
2 answers:
Crank3 years ago
8 0
The answer is B or -8
Cloud [144]3 years ago
5 0

Answer:

Option B; x > -8

Step-by-step explanation:

First solve by using algebra,

=> 22 - 2x < 38

  • Subtract 22 from both sides,

=> -2x < 16

  • Divide both sides by -2

=> x < -8

Since you have divided both sides by a negative number, switch the inequality. <u>From x < -8 it would be "x > -8"</u>.

Hope this helps!

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In a class of 150 students, 95 are taking Math, 75 are taking Science and 55 are taking both.What is the probability that a stud
garik1379 [7]

Probability of the student taking neither math nor science is 35 / 150 or 0.23

<u>Explanation:</u>

<u />

Given:

Total students = 150

Number of students taking maths = 95

Number of students taking science = 75

Maths  + Science = 55

Probability of student taking neither math nor science = ?

Number of students taking only science = 95 - 55

                                                                   = 40

Number of students taking only maths = 75 - 55

                                                                = 20

Number of students taking neither maths nor science = 150 - 40 - 20 - 55

                                                                                          = 35

Probability of the student taking neither math nor science is 35 / 150 or 0.23

6 0
4 years ago
Rational algebraic expression <br> x²-16/x²+8x+16
abruzzese [7]

(x - 4)/(x + 4)

Step-by-step explanation:

\begin{aligned}\tt\frac{x^2-16}{x^2+8x+16}&=\tt\frac{x^2-4^2}{\left(x+4\right)^2}\\&=\tt\frac{\left(x+4\right)\left(x-4\right)}{\left(x+4\right)^2}\\&=\tt\frac{x-4}{x+4}\end{aligned}

<em>Note :</em>

  • a² - b² = (a + b)(a - b)
  • (a + b)² = a² + 2ab + b²
7 0
3 years ago
I will give brainiest to whoever answers correctly !!
Viktor [21]

Answer: 10k

Step-by-step explanation:

6 0
3 years ago
Consider the given function and the given interval. f\(x\) = (x - 7)**2 text(, ) [5 text(, ) 11] (a) Find the average value fave
Jet001 [13]

a. f has an average value on [5, 11] of

f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4

b. The mean value theorem guarantees the existence of c\in(5,11) such that f(c)=f_{\rm ave}. This happens for

(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5

8 0
4 years ago
Expand the polynomial: (6+7)(4-b)
rosijanka [135]

Answer:

52-13b

Step-by-step explanation:

(6+7)(4-b)=13(4-b)

               =52-13b

7 0
3 years ago
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