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Marianna [84]
3 years ago
10

Rewrite in simplest terms: 2(-4p-6)-5p2(−4p−6)−5p

Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
8 0

Answer:

20p^3+30p^2-13p-12

Step-by-step explanation:

2(-4p-6)-5p^2(−4p−6)−5p

Distribute

-8p -12 +20p^3 +30p^2 -5p

Combine like terms

20p^3 +30p^2-13p-12

irina1246 [14]3 years ago
3 0

Answer: 20p³+30p²-13p-12

Step-by-step explanation:

2(-4p-6)-5p²(-4p-6)-5p

-8p-12+20p³+30p²-5p

20p³+30p²-13p-12

please click thanks and mark brainliest if you like :)

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Tuiton at a certain college recently increased from $4000 to $5000. Find the ratio of the increase in price to the original pric
koban [17]
The increase is $5000-$4000=$1000.  The ratio of this increase to the original price is 

$1000
-------- = 1/4 (no units of measurement here)
$4000
8 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Over [174]

Answer:

n = 11

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Vertical Angles: Angles that are across from each other and are congruent

Step-by-step explanation:

<u>Step 1: Set up equation</u>

<em>Vertical angles must be congruent.</em>

(6n - 4)° = (5n + 7)°

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 5n on both sides:                    n - 4 = 7
  2. Add 4 to both sides:                               n = 11
8 0
3 years ago
A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0

The expression simplifies to

-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}

So, the parabola is negative between the two solutions:

-6-5\sqrt{5}

8 0
3 years ago
5/8 of my allowance is 60.00. So what is 1/2 of it?
solmaris [256]

Answer:

youre total is 96.00 so half of it will be 48

Step-by-step explanation:

we need to find your total first

5/8 * 60/?

multiply 8 with 60, getting you 480

the divide with 5 getting you 96, now to find the 1/2 of your amount just divide this with two and now you have it! 48 is your total half

3 0
3 years ago
If s = 6 and t = 4 , find the value of x which makes the following equation true.
Zepler [3.9K]

Answer:

6

Step-by-step explanation:

replace the variable with the information provided which will give you

x=4+6-4

solve

answer:6

4 0
2 years ago
Read 2 more answers
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