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ELEN [110]
2 years ago
7

(3,3p) and (4,p²+1) has gradient -1 find p​

Mathematics
1 answer:
ra1l [238]2 years ago
3 0

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

p {}^{2}  - 3p + 1 = -1

p {}^{2}  - 3p +2 = 0

(p-2)(p - 1) = 0

p = 2 \:  \:  \:  \:  \: p = 1

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Step-by-step explanation:

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3 years ago
1. From 1992 to 2007 the average home price increased by 8% per year. In 1992 Anita Bath
Anuta_ua [19.1K]

Answer:

Anita Bath's home was worth $ 593,195.62 in 2007.

Step-by-step explanation:

Given that from 1992 to 2007 the average home price increased by 8% per year, and in 1992 Anita Bath bought a house for $ 187,000, to determine what was it worth in 2007 the following calculation must be performed:

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5 0
3 years ago
Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g
olchik [2.2K]

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

\{x,xr,xr^2,xr^3\}

We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

and in the first, we have

xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

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4 0
3 years ago
Whats the product of (3-2i) and (7+6i)?​
Alona [7]

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

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21+4i+12

your answer would be 33+4i .

6 0
3 years ago
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