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Recent problems solved by 'nik_consult'

nik_consult answered: 24 problems
Expressions-with-variables/48051: solve for X 3-2x<9
1 solutions

Answer 31790 by nik_consult(24) About Me  on 2006-08-03 11:42:16 (Show Source):
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3-2x<9
-2x < 9 - 3
x < 6/3
x < 2


Coordinate-system/42501: This question is from textbook BEGINING ALGEBRA
Write the equation of the line x-intercept (12,0) and y-intercept (0,4).
1 solutions

Answer 27652 by nik_consult(24) About Me  on 2006-06-17 11:49:55 (Show Source):
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(12,0) and y-intercept (0,4).
slope, m= - (y-intercept/ x-intercept)
= -(4/12)
= -1/3
sabtitute m = -1/3 and (0,4)into y = mx + c
4=(-1/3)(0) + C
C = 4
equation of the line IS y = (-1/3)x + 4



Percentage-and-ratio-word-problems/42502: what is the answer to 4.5% of 0.94 cm
1 solutions

Answer 27647 by nik_consult(24) About Me  on 2006-06-17 11:37:27 (Show Source):
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4.5% of 0.94 cm
= (4.5/100)x 0.94 cm
= 0.045 x 0.94 cm
= 0.0423


Exponents/42509: Identify the base in the statment "50% of 300 is 150."
I believe it is 50% am I correct?
1 solutions

Answer 27645 by nik_consult(24) About Me  on 2006-06-17 11:34:57 (Show Source):
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50% of 300 = (50 / 100) x 300
= 150


expressions/42514: Solve x over 6 + 3 = 0
1 solutions

Answer 27644 by nik_consult(24) About Me  on 2006-06-17 11:31:38 (Show Source):
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Solve x over 6 + 3 = 0
(x/6)+ 3 = 0
(x/6)= -3
x = -3 x 6
= -18


Average/42523: –3(10x – 3) + 10(3x – 3) = x – 7
1 solutions

Answer 27643 by nik_consult(24) About Me  on 2006-06-17 11:29:11 (Show Source):
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–3(10x – 3) + 10(3x – 3) = x – 7
-30x + 9 + 30x - 30 = x – 7
-21 = x – 7
-21 + 7 = x
x = -14


Average/42527: 31x – 8(3x – 0.745) = 6x + 0.205
1 solutions

Answer 27640 by nik_consult(24) About Me  on 2006-06-17 11:24:57 (Show Source):
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31x – 8(3x – 0.745) = 6x + 0.205
31x - 24x + 5.96 = 6x + 0.205
7x + 5.96 = 6x + 0.205
7x-6x = 0.205 - 5.96
x = -5.755


Equations/42488: -4-(-3)^2
1 solutions

Answer 27613 by nik_consult(24) About Me  on 2006-06-16 23:16:08 (Show Source):
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-4-(-3)^2
= -4 -(9)
=-4-9
=-13


Exponential-and-logarithmic-functions/42289: for the given funtions f and g, find
(a) (f o g)(4) (b)(f o g)(2) (c)(f o f)(1)
f(x)=2x; g(x)=3-1/2x^2
1 solutions

Answer 27491 by nik_consult(24) About Me  on 2006-06-16 06:36:06 (Show Source):
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for the given funtions f and g, find
(a) (f o g)(4) (b)(f o g)(2) (c)(f o f)(1)
f(x)=2x; g(x)=3-1/2x^2
solution:
(a) g(4)= 3-1/2(4)^2
= 3- 1 / 32
= 2%2831%29%2F%2832%29
so, (f o g)(4)= f[g(4)]
= f[2%2831%29%2F%2832%29]
= 2 x [2%2831%29%2F%2832%29]
= 5%2815%29%2F%2816%29
(b)g(2)= 3-1/2(2)^2
= 3-1/8
= 2%287%29%2F%288%29
so,(f o g)(2)= f[g(2)]
= f[2%287%29%2F%288%29]
= 2 x 2%287%29%2F%288%29
= 5%283%29%2F%284%29
(c)f(1)= 2(1)=2
so, (f o f)(1)= f[f(1)]
= f[2]
= 2(2)
= 4


Equations/42314: x^2 over 4x-12
show work
1 solutions

Answer 27490 by nik_consult(24) About Me  on 2006-06-16 06:18:20 (Show Source):
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x^2 over 4x-12
= xx/4(x-3)or x^2/4(x-3)


Equations/42151: Solve the equation
-0.5(30,000) + 0.15p = 0.02(30,000 + p)
1 solutions

Answer 27393 by nik_consult(24) About Me  on 2006-06-15 12:15:36 (Show Source):
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-0.5(30,000) + 0.15p = 0.02(30,000 + p)
-15000 + 0.15p = 600 + 0.02p
0.15p-0.02p = 600+15000
0.13p= 15600
p = 15600/0.13
p=120000


Miscellaneous_Word_Problems/42178: 57.59 divided by 4.6 ( to 2 decimal places)
Thank you for the help!!!!
From Precious
1 solutions

Answer 27389 by nik_consult(24) About Me  on 2006-06-15 12:07:15 (Show Source):
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57.59 divided by 4.6
= 12.519
= 12.52


Length-and-distance/42240: I got to find the slop of the line through the following pairs of points


(-5 , -3 ) and (-5, 2)
1 solutions

Answer 27387 by nik_consult(24) About Me  on 2006-06-15 12:03:02 (Show Source):
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(-5 , -3 ) and (-5, 2)
slope, m= y2-y1 / x2-x1 ; y2=2, y1=-3, x2=-5 and x1=-5
= 2 - (-3) / -5 - (-5)
= 2 + 3 / 0
= 5/ 0
= Undefined


Numeric_Fractions/41983: Please help me solve this question: 4z + 12 = 7z - 9
1 solutions

Answer 27183 by nik_consult(24) About Me  on 2006-06-14 02:15:48 (Show Source):
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Please help me solve this question:
4z + 12 = 7z - 9
12+9 = 7z-4z
21 = 3z
therefore z = 21/3
= 7


Equations/42001: Please help me solve this equation.
-2x = 8?
a.x = 4
b.2x = -8
c.3x + 5 = 6x - 17
d.3x + = 12x + 17
Thank you
1 solutions

Answer 27182 by nik_consult(24) About Me  on 2006-06-14 02:11:19 (Show Source):
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-2x = 8?
so x = %288%29%2F%28-2%29
=-4
ans A


Expressions-with-variables/42003: Solve for x:%287y%29%2F%28x%29+-w=%28d%29%2F%28a%29
1 solutions

Answer 27181 by nik_consult(24) About Me  on 2006-06-14 02:08:09 (Show Source):
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%287y%29%2F%28x%29+-w=%28d%29%2F%28a%29
= %287y%29%2F%28x%29=%28d%29%2F%28a%29%2Bw
= %287y%29%2F%28x%29=%28d%2Baw%29%2F%28a%29
= %28x%29%2F%287y%29=%28a%29%2F%28d%2Baw%29
therefore, x= %287ay%29%2F%28d%2Baw%29


Functions/42034: f(x)=3x-2 and g(x)=1/(2x+3)
solve for (f*g)(-2)
1 solutions

Answer 27180 by nik_consult(24) About Me  on 2006-06-14 01:55:43 (Show Source):
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f(x)=3x-2 and g(x)=1/(2x+3)
solve for (f*g)(-2)
g(-2) = [1/ 2(-2)+3]
= [1/-1]
= -1
therefore fg(-2)= f[g(-2)]
= f[-1]
= 3(-1)-2
=-3-2
= -5
therefore fg(-2)= -5



Equations/42044: Find the slope of the line passing through the points (–9, –4) and (0, –4).



A) Undefined B) 0 C) 1 D) 9


1 solutions

Answer 27179 by nik_consult(24) About Me  on 2006-06-14 01:46:19 (Show Source):
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Find the slope of the line passing through the points (–9, –4) and (0, –4).
slope, m= y2-y1 / x2-x1 ; y2=-4, y1=-4, x2=0 and x1=-9
= -4 - (-4) / 0 - (-9)
= -4 + 4 / 0 +9
= 0/ 9
= 0
ans B) 0


Graphs/41842: Find an equation of the line that satisfies the conditions. Write the equation in standard form.
Through(0,3);m=3%2F4
1 solutions

Answer 27094 by nik_consult(24) About Me  on 2006-06-13 12:36:28 (Show Source):
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Through(0,3);m=3%2F4
use y=mx+c where m=3%2F4 : x = 0 & y = 3 to find the value c

3 = 3%2F4(0) + c
c = 3
so the equation in standard form is y = 3%2F4x + 3


Linear-equations/41846: This question is from textbook INTERMEDIATE ALGEBRA
. Perform the indicated operations:
(5x2 – 3x + 2) + (-3x2 + 9x – 8) – (x2 + 3x – 10)

1 solutions

Answer 27091 by nik_consult(24) About Me  on 2006-06-13 12:25:05 (Show Source):
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(5x2 – 3x + 2) + (-3x2 + 9x – 8) – (x2 + 3x – 10)
=5x2 – 3x + 2 -3x2 + 9x – 8 – x2 - 3x + 10
=(5-3–1)x2 + (-3+9-3)x + (2-8+10)
=x2 + 3x + 4


Pythagorean-theorem/41863: Let h be the function defined by h(x)=x2(2 means squared)-1, where the domain is the set of real numbers.
a. find h(2)
b. find h(-2)
c. if h(t) = 15 what ar the possible values of t?
d. find h(7.32).
thanks,
1 solutions

Answer 27084 by nik_consult(24) About Me  on 2006-06-13 12:07:01 (Show Source):
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h(x)=x2(2 means squared)-1
(a) h(2)= (2)^2-1
= 4-1
= 3
(b)h(-2)= (-2)^2-1
= 4-1
= 3
(c) h(t) = 15
x^2 -1 = 15
x^2 = 1+15
= 16
x = sqrt(16)
= + 4 @ -4
(d) h(7.32)= (7.32)^2-1
= 53.5824 - 1
= 52.5824


Proportions/41687: Can someone help me with this problem.
Choose the most reasonable measure.
The height of a bookshelf
(A) 12 cm.
(B) 12 m
(C) 1.2 m

Thanks, Ashley
1 solutions

Answer 26948 by nik_consult(24) About Me  on 2006-06-12 10:47:31 (Show Source):


expressions/41748: Evaluate the expression: 3.2-3/5
I am lost with the "-" sign
Thanks for your help
1 solutions

Answer 26945 by nik_consult(24) About Me  on 2006-06-12 10:38:29 (Show Source):
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3.2-3/5 = (32/10)- (3/5)
=16/5 - 3/5
= 13/5


Numeric_Fractions/41779:
1 solutions

Answer 26943 by nik_consult(24) About Me  on 2006-06-12 10:16:22 (Show Source):
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it can be write as 5/9