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snow_tiger [21]
3 years ago
12

For which values of x is the inequality 3(1 + x) > x + 17 true?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

Answer:

x>7

Step-by-step explanation:

3(1 + x) > x + 17

distribute

3 + 3x> x+17

subtract x from each side

3 +3x-x > x-x+17

3+2x > 17

subtract 3 from each side

3-3+2x > 17-3

2x>14

divide by 2

2x/2 > 14/2

x>7


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a university received 9 applications for three postdoctorate fellowships. five of the applicants are men and four are women. fin
frozen [14]

There are 9C_3 ways to select 3 from 9.

There are 5C_3 ways to select 3 men from 5 men and 4C_3 ways to select 3 women from 4 women.



If all three selected are men, then no woman was selected, and we have

5C_3 \times 4C_0 ways we can do that.



1)



P(All -3 -are -men)=[tex]\frac{5C_3 \times 4C_0}{9C_3}=\frac{5}{42}





2) If all 3 are women then no man was selected, and we have

5C_0 \times 4C_3 ways we can do that.


P(All- 3- are- women)=\frac{5C_0 \times 4C_3}{9C_3}=\frac{1}{21}



3) If 2 men and 1 woman were selected, the we have 5C_2\times 4C_1 ways we can do that.


P(2 -men -1 -woman)=\frac{5C_2\times 4C_1}{9C_3}=\frac{10}{21}




4) If 2 women and 1 man is selected, then we have  5C_1 \times 4C_2

P(2- women- 1 -man)=\frac{5C_1\times 4C_2}{9C_3}=\frac{5}{14}



8 0
4 years ago
Read 2 more answers
What is the explicit formula for this sequence?
ddd [48]

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

6 0
4 years ago
Find two numbers whose sum is 55 and whose product is 646​
Svet_ta [14]

Answer:

17 and 38

Step-by-step explanation:

x + y = 55......x = 55 - y

x * y = 646

y(55 - y) = 646

55y - y^2 = 646

y^2 - 55y + 646 = 0

(y - 17)(y - 38) = 0

y - 17 = 0       y - 38 = 0

y = 17            y = 38

ur numbers are 17 and 38

8 0
3 years ago
Drop down 8x – 2 – 5x + 7 =
miss Akunina [59]

Answer:

3x + 5

Step-by-step explanation:

Add like terms together:

8x - 2 - 5x + 7

3x - 2 + 7

3x + 5

7 0
3 years ago
suppose you reflect a nonregular figure over the x-axis and then reflect it over the y-axis. Is there a single transformation us
Ilya [14]

Answer:

translate 180 degrees

3 0
3 years ago
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