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DENIUS [597]
3 years ago
7

Use the graph to estimate the x- and y-intercepts.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0

Answer:

x- intercept is 6 y- intercept is -18

Step-by-step explanation:

Just use the graph, this graph is hard to get the answer but you just have to estimate.

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The 3 × 3 matrix P satisfies the matrix equation P^2 = P.
riadik2000 [5.3K]

Answer:  The answers are given below.

Step-by-step explanation:  Given that a  3 × 3 matrix P satisfies the matrix equation P² = P.

We are to

(a) find the possibilities for the determinant of P.

(b) explain the reason behind there are no other possibilities.

(c) give an example of P, for each possible determinant.

(a) According to the given information, we have

P^2=P\\\\\Rightarrow P^2-P=0\\\\\Rightarrow P(P-I)=0\\\\\Rightarrow P=0,~~~P=I.

So, P can be either a zero matrix of order 3 or an identity matrix of order 3.

If P = 0, then det(P) = 0     and     if P = I, then det(P) = 1.

Therefore the possible determinants of P are 0 and 1.

(b) There can be any other determinant other than 0 and 1, because if so, then the given equation P² = P will not be satisfied.

(c) If |P| = 0, then the matrix P can be can be of the form as follows:

P=\left[\begin{array}{ccc}0&0&0\\0&0&0\\0&0&0\end{array}\right] .

If |P| = 1, the the matrix P can be of the form as follows :

P=\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .

Thus, all the parts are answered.

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3 years ago
The sales price of last year's hottest game is 30% off the retail price. The game sold last year for$86.00. What is the sales pr
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I was doing it wrong. You have to find 30% of $86 which is $25.80, i think, and then take it away from $86 and so the sales price is $86 - $25.80 = $60.20. Originally I only did the first bit, I forgot you have to take it away. sorry hope this helps more now.
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The equation for finding the slope of a line is \frac{y_2-y_1}{x_2-x_1}. After substituting in the points, we get 
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A method for finding the volume of any solid for which cross sections by parallel planes have equal area is called
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The appropriate response is Caliveire's <span>Principle</span> It is a technique, with the recipe given beneath, of finding the volume of any strong for which cross-segments by parallel planes have measured up to ranges. This incorporates, yet is not constrained to, chambers and crystals.
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