Y=x^2 + 1 why is this function nonlinear?

Find the simplest pattern and insert the missing term(s) of each sequence. 4, 7, 12, 21, 38, ___

Arte-miy333 [17]

Answer:

71

Step-by-step explanation:

4, 7, 12, 21, 38, ...

2+2=2¹+2
4+3= 2²+3
8+4= 2³+4
16+5= 2⁴+5
32+6= 2⁵+6

next term:

2⁶+7= 64+7=71

nth term:

2ⁿ+(n+1)

7 0

2 years ago

12) Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 ho

Semenov [28]

Answer:

B. Oliver can watch TV for 1.5 hours more this week.

Step-by-step explanation:

Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 hour long and his favorite Tuesday show which was 1.5 hours long.

So he has already finished 2.5 hours of watching . He can watch only for 4 hours for the total week.

Let x be the number of more hours for which he can watch television.

Then ,

x + 1 + 1.5 = 4

x + 2.5 = 4

x = 4 - 2.5

x = 1.5 hours.

So Oliver can watch television for at most 1.5 hours for the rest of the week.

Then the correct option is B.

3 0

3 years ago

A vehicle uses 1 gallons of gasoline to travel 13 miles. At this rate, how many mile

Brrunno [24]

1 gallon (it’s stayed in the question)

6 0

3 years ago

Anne Katz, owner of Katz Sport Shop, loans $8,000 to Shelley Slater to help her open an art shop. Shelley plans to repay Anne at

Gekata [30.6K]

A= P(1 + r/n) ^nt
=8000(1+0.08/2)^8x2
=8000(1.04)^16
=$14983.85

7 0

3 years ago

Help please!!!!!!!!!

In-s [12.5K]

ANSWER

24

EXPLANATION

For a matrix A of order n×n, the cofactor $C_{ij}$ of element $a_{ij}$ is defined to be

$C_{ij} = (-1)^{i+j} M_{ij}$

$M_{ij}$ is the minor of element $a_{ij}$ equal to the determinant of the matrix we get by taking matrix A and deleting row i and column j.

Here, we have

$C_{11} = (-1)^{1+1} M_{11} = M_{11}$

M₁₁ is the determinant of the matrix that is matrix A with row 1 and column 1 removed. The bold entries are the row and the column we delete.

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \end{aligned}$

Since the determinant of a 2×2 matrix is

$\det\left( \begin{bmatrix} a & b \\ c& d \end{bmatrix} \right) = ad-bc$

it follows that

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \\ &= (0)(-8) - (-3)(8) \\ &= -(-24) \\ &= 24 \end{aligned}$

so $C_{11} = M_{11} = 24$

4 0

3 years ago