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timurjin [86]
3 years ago
9

If a line is defined by the equation y = 3x - 7, what is the y-intercept?

Mathematics
1 answer:
Kryger [21]3 years ago
3 0
-7 is the y- intercept
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Perform the indicated operation.<br><br> 4/11 · 10/8<br><br> 4/11<br> 5/11<br> 6/11
Dimas [21]
4/11 * 10/8

Multiplying fractions
1) multiply the numerators: 4 * 10 = 40
2) multiply the denominators: 11 * 8 = 88
3) simplify the fraction
40/88 ⇒ 10/22 ⇒ 5/11

40 ÷ 4 = 10
88 ÷ 4 = 22

10 ÷ 2 = 5
22 ÷ 2 = 11

4/11 * 10/8 = 5/11
7 0
3 years ago
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.

4 0
3 years ago
the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.
Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $5 for going in.

She has 2 whole pounds.

1.25 x 2=2.5 or 2 \frac{1}{2}

Add $5 and $ 2.5 .

5+2.5 = 7.5

Now let's do $1.25 divided by 10.

$$1.25 divided by $10 =0.125

Now let's do 0.125 times 4

0.125 x 4 = 0.5

Now let's add 7.5 to 0.5

7.5+0.5=8

4 0
2 years ago
Which of the following expressions are equivalent to -8/11-3/4-1/4 (choose three answers ​
marysya [2.9K]

Answer:

This is the answer: choose

A

D

E

5 0
3 years ago
What time is 7 1/2 hours before 2:12 am
Vlad1618 [11]
6:42 pm bc subract 2 hours is 12:12am and then subtract the rest is 7:12pm then you subract 12 minutes is 7 pm the subtract the 18 minutes left is 6:42 pm
4 0
3 years ago
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