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Afina-wow [57]
3 years ago
13

Can anyone help me out plz

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
4 0
Negative rate of change just means that the graph is falling. On this one, that's everywhere after x=0.5. The only choice that's completely in that section is the last one.
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Which could be the first step in solving this system of equations by substitution?
Ainat [17]

Answer:

The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)

solve and get

(2.5,17.5)

or x= 2.5 y=17.5

Step-by-step explanation:

The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x

7x-x=15

6x=15

x=2.5

Then we can solve for y

y=7(2.5)

y=17.5

3 0
3 years ago
Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
Vesna [10]

Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

6 0
3 years ago
Find the area of a rectangular playground which is 21 3/4 yards long and 14 5/6 yards wide
Leni [432]
Multiply the 2 mixed numbers to get your answer because area is length times with .  I am not so sure but comment and tell me if you got it right or wrong.
3 0
3 years ago
Write 434 hundredths as a decimal
Vedmedyk [2.9K]

Answer:

.434

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
There are 6 boys to every 9 girls in the sixth grade. There are a total of 75 students in the sixth grade. There are how many bo
nadya68 [22]

Hi!

Given the ratio of boys to girls, which is 6/9, we can find the number of boys in a total of 75 students like this:

(6/9) * 75 = (6*75)/9 = 450/9 = 50

There are 50 boys.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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