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docker41 [41]
3 years ago
10

How do I find QS here?

Mathematics
1 answer:
juin [17]3 years ago
4 0
Answer: 12.
To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines. 
In the first line: QR = 15 - 4x. 
In the third line:QR = 13x - 1 - x = 12x - 1. 
Now, we have to set these equations equal to each other. 15 - 4x = 12x - 115 = 16x - 116x = 16x = 1
Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.
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What is the factored form of 6n4 – 24n3 + 18n?
seropon [69]

Answer: Its factored form will be

6n(n-1)(n^2-3n-3)

Step-by-step explanation:

Since we have given that

6n^4-24n^3+18n

So, we need to factor ,

6n(n^3-4n^2+3)

Now,

\text{Let }p(n)=n^3-4n^2+3

Now, by hit and trial method, we put n=1,

p(1)=1^3-4\times1^2+3=1-4+3=1-1=0

n=1\\n-1=0

So, n-1 is also factor of p(n).

Now,

\frac{n^3-4n^2+3}{n-1}=n^2-3n-3

So, its factored form will be

6n(n-1)(n^2-3n-3)

8 0
3 years ago
Read 2 more answers
17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.<br> a Find f(x) + g(x)<br> b. Find f(x) – g(x)
nalin [4]

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

7 0
3 years ago
Read 2 more answers
A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6
Anuta_ua [19.1K]

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

<u>Data</u>

  • mean: 80 points
  • standard deviation (sd): 6 points
  • value of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

3 0
3 years ago
Please help!!!will get brainliest!
il63 [147K]
Turn the information into coordinate points.

Point = (time, population)

Point 1 = (1985, 45000)
Point 2 = (2004 , 26000)

Find the slope between these points using the formula

( Slope)—> m = (y2 - y1) / (x2 - x1)
26000-45000/2004-1985=-19000/19= -1000
Average rate of change is decrease of 1000 sea lion per year

I hope that helped
6 0
3 years ago
Solve the poprotion 38/25=n/12
ANEK [815]

Answer:

  n = 18 6/25

Step-by-step explanation:

Multiply both sides by 12.

  12(38/25) = 12(n/12)

  456/25 = n = 18 6/25 = 18.24

8 0
3 years ago
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