What value of x is in the solution set of 9(2x + 1) < 9x – 18?

Answers

Answer 1
Answer: To solve these kinds of problems, it is necessary to isolate x:

9(2x + 1) < 9x - 18

Distribute 9:
18x + 9 
< 9x - 18

Subtracting 9 from both sides of the equation:
18x + 9 - 9 
< 9x - 18 - 9
18x 
< 9x - 27

Subtracting 9x from both sides of the equation:
18x - 9x 
< 9x - 27 - 9x
9x 
< -27

< -3

Therefore, values of x 
< -3 will satisfy the given equation.
Answer 2
Answer:

Answer:

x ∠ -3

Step-by-step explanation:

To solve this inequalities, we have to follow the steps below

open the bracket

collect like term

subtract and then divide both-side so that we can be left with just the variable

9(2x +1) < 9x - 18

opening the bracket, equation becomes;

18x + 9  < 9x - 18

collect like terms, numbers with x variables on the left hand side and number standing alone on the right hand side of the inequality

18x - 9x < -18-9  

9x <  -27

Divide both-side of the equation by 9

9x/9 < -27/9


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Factor the expression on the left side of the equation. Then solve the equation.x³ - 2x² - 5x = 0

-5, 0, 3
0, -1 ± √24
0, -1 ± √6
0, 1 ± √6

Answers

x³ - 2x² - 5x = 0

First, take common factor:

x(x^2 - 2x - 5 )= 0

Now use the quadratic formula to find the roots of the trinomial

x = [- b +/- √(b^2 - 4(a)(c)] / 2a

x = (2 +/- √(4 -4(1)(-5)) )/(2)

x = [2 +/-2√6 ]/2

x = 1 + √6 and x = 1 -√6

Then the solutions are:

x =0; x = 1 + √6; x = 1 - √6

That is the las option shown.

On a coordinate grid, point P is at (5, 8) and point R is at (−1, −3). Points Q and S are a reflection of both points across the x-axis.What are the coordinates of Q and S?

Q(−5, 8), S(1, −3)
Q(5, −8), S(−1, 3)
Q(−5, −8), S(1, 3)
Q(−5, 8), S(−1, 3)

Answers

This is one of the fundamental transformation functions. Figure 2 points drew the taskThe x-axis is the axis of symmetry. We draw several pairs of points satisfying the conditions jobs.

see Figure 1. Different points . The x coordinate of points does not change. While the value of the y-coordinate is the number opposed . The points must be at the same distance from the axis x and at the same distance from the axis y . The x-axis is the axis of symmetry

This is one of the fundamental transformation functions. Figure 2 points drew the task

Answer 2 Q (5,-8),  R (-1.3)

Zaraz otrzymasz rysunki





Help me please 20 points

Answers

Answer:

- 8n + 9

Step-by-step explanation:

A - B

= - 3n + 2 - (5n - 7) ← distribute by - 1

= - 3n + 2 - 5n + 7 ← collect like terms

= - 8n + 9 → or 9 - 8n

Find the value of r so the line that passes through each pair of points has the given slope.40. In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the annual rate of change in the federal minimum wage rate from 1991 to 1997.

41. (6,2), (9,r), m=-1

42. (4,-5), (3,r), m=8

43. (5,r), (2,-3), m=4/3

44. (-2,7), (r,3), m=4/3

45. (1/2, -1/4), (r,-5/4), m=4

46. (2/3, r), (1,1/2), m= 1/2

47. (4,r), (r,2), m=-5/3

48. (r, 5), (-2, r), m=-2/9

Answers

Slope is rise over run.
40. the rise is $0.90 and the run is 6 years, so the annual rate of change is .9/6 = $0.15 per year
40) Final answer: $0.15 per year

For 41-48, find the difference between the given values of the same variable, then multiply by the slope and add/subtract from the variable whose second value is missing (sorry if that's confusing)
41. 9-6=3 => 3*(-1)=-3 => 2+3=-1
41) Final answer: r=-1
42. 4-3=1 => 1*8=8 => (-5)-8=-13
42) Final answer: r=-13
43. 5-2=3 => 3*(4/3)=4 => -3+4=1
43) Final answer: r=1
44. 7-3=4 => 4*(3/4)=3 (flip the slop to find x values) => -2-3=-5
44) Final answer: r=-5
45. (-1/4)-(-5/4)=4/4=1 => 1*(1/4)=1/4 (again flip the slope) => 1/2-1/4=1/4
45) Final answer: r=1/4
46. 1-(2/3)=1/3 => (1/3)*(1/2)=(1/6) (don't have to flip this time) => (1/2)-(1/6)=1/3
46) Final answer: r=1/3
For 47 and 48, I'll setup an equation for r
47. (4-r)*(-5/3)=r-2 => -20/3+(5r)/3=r-2 => -14/3+(5r)/3=r => -14/3=-(2r)/3 => -14=-2r => r=7
47) Final answer: r=7
48. (R-(-2))*(-2/9)=5-r => -2(r+2)/9=5-r => -(2r)/9-4/9=5-r => -(2r)/9=49/9-r => (7r)/9=49/9 => 7r=49 => r=7
48) Final answer: r=7

Hope I helped :)

The 2 triangles are congruent
JKL=PQR

Answers

Answer:

w = 3

The rest doesn't have enough information to complete, (Sorry for previous answer)

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 8 bulbs. In the second year, it produced 16 bulbs, and in the third year it produced 32 bulbs. If this pattern continues, how many bulbs should Geoff expect in the sixth year?A. 64
B. 512
C. 128
D. 256

Answers

1st = 8, 2nd = 16, 3rd = 32, doubling each time so 4th = 64, 5th = 128,

6th = 256