MATHEMATICS HIGH SCHOOL

Simplify the given equation.
17x - 6 + 3x - 5 = x + 11 + 4x

Answers

Answer 1
Answer: 17x - 6 + 3x - 5 = x + 11 + 4x

The first thing to do is to get all the xs on the same side. 

17x + 3x - x - 4x = 11 + 5 + 6
15x = 22
x = 22/15

The answer is x = 22/15 

22 - 15 = 7
If this needs to be simplified, the answer is x = 1 7/15
Answer 2
Answer: 17x - 6 + 3x - 5 = x + 11 + 4x
17x-11+3x=x+11+4x
20x-11=x+11+4x
20x-11=5x+11
Subtract 5x
20x-11-5x=11
15x-11=11
Add 11
15x=11+11
15x=22
Divide by 15
x= (22)/(15)
x=1 (7)/(15)

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In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet. Triangle N Q L has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, Q M, and L P. The length of line segment N S is x + 10 and the length of line segment S R is x + 3.

What is RS?

4 feet
7 feet
10 feet
14 feet

Answers

Answer:

B. 7 feet

Step-by-step explanation:

Given:

NS = (x + 10) ft

SR = (x + 3) ft

Required:

RS

SOLUTION:

Based in the centroid theorem, the centroid, S will divide the median, line segment NR, into NS and SR, such that NS : SR = 2 : 1.

Therefore:

NS = 2(SR)

x + 10 = 2(x + 3) (substitution)

Solve for x

x + 10 = 2x + 6

Collect like terms

x - 2x = -10 + 6

-x = -4

divide both sides by -1

x = 4

SR = (x + 3) ft (SR is same as RS)

Plug in the value of x

SR = (4 + 3) ft

SR = RS = 7 ft

Answer:

i got b too

Step-by-step explanation:

Log (10-4x) = log (10-3x)

Answers

D:\n10-4x > 0\ \wedge\ 10-3x > 0\n-4x > -10\ \vee\ -3x > -10\n\nx < (10)/(4)\ \wedge\ x < (10)/(3)\n\nx < 2(1)/(2)\ \wedge\ x < 3(1)/(3)\n\nx\in(-\infty;\ 2(1)/(2))


log(10-4x)=log(10-3x)\iff10-4x=10-3x\n\n-4x+3x=10-10\n\n-x=0\ \ \ /\cdot(-1)\n\nx=0\in D\n\nSolution:x=0
\log (10-4x) = \log (10-3x) \n D:10-4x>0 \wedge 10-3x>0\n D:4x<10 \wedge 3x<10\n D:x<2.5 \wedge x<3(1)/(3)\n D:x<2.5\n 10-4x=10-3x\n x=0

140% of what number is 14?

Answers

140% of  19.6 is  14  and  you are very welcome
140% of what number is 14
140%  ×     number      = 14
(140% = (140)/(100) = 1.4)
1.4      ×           n           = 14
Divide by 1.4 to isolate n
(1.4n)/(1.4) = (14)/(1.4)
1.4 and 1.4 cancels out
n = 10

140% of 10 is 14

Check:
(140)/(100) × 10 = 14
1.4 × 10 = 14
14 = 14

NEED HELP ASAP.A linear function has a y-intercept of -12 and a slope of 3. What is the equation of the line?

Answers

Answer:

y = 3x - 12

Step-by-step explanation:

Hope This Helps!

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What is the solution to the inequality 75 greater-than StartFraction x over 15 EndFraction?x 1,125
x 5

Answers

Answer:

A

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

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How do I solve n^2-5n-14=0 by factoring

Answers

(N-7)(n+2)=0 as you'd get n^2-7n+2n-14 then just simplify. Then it would be n=-2 or 7
n^2-5n-14=0 \n n^2-7n+2n-14=0\n n(n-7)+2(n-7)=0\n (n+2)(n-7)=0\n n=-2 \vee n=7
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