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3 years ago

5

HELP NOW Which table shows a proportional relationship between x and y? x 1 2 3 6 y 1.5 3 6 9 x 1 3 4 5 y 50 150 200 250 x 3 5 7

8 y 1.5 2.5 3 4.5 x 2 4 5 6 y 6 12 18 21

1 answer:

dem82 [27]3 years ago

4 0

Answer: B - x 1 3 4 5 y 50 150 200 250

Step-by-step explanation: The equation is y = 50x

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The domain is x≥ 2 and the range is y≥ 5. The domain is x≥ 2 and the range is y≥ 6. The domain and range are all positive real n

Dmitry [639]

Answer:

A

Step-by-step explanation:

4 0

2 years ago

Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

3 years ago

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

zheka24 [161]

Answer:

The answer is "The second choice".

Step-by-step explanation:

$r=6\\\\h=13 \\\\$

Formula:

$A=2\pi rh$

$=2\times 3.14 \times 6 \times 13\\\\=2\times 3.14 \times 78\\\\=3.14 \times 156\\\\=3.14 \times 156\\\\=489.84 \approx 489.8 ft^2$

5 0

2 years ago

The amount of money you earn varies directly to the number of pizzas you sell. If you earn $44 for selling 8 pizzas, How many pi

Anna [14]

Answer:

You would need to sell 24 pizzas

Step-by-step explanation

132/44= 3

Take the 3 and times it by 8

3 x 8 = 24

You would need to make 24 pizzas

Each pizza is 5.50$

So an equation for this could be

5.50x P = C

P = Pizza

and C is the cash you earned

I hope this helps

5 0

2 years ago

3.) (4 x 9 - 21) \ 3+6^2

nignag [31]

Answer:

41

Step-by-step explanation:

Given Expression:

(4 x 9 - 21) \ 3+6^2

Multiply 4 and 9 to get 36.

36 - 21 / 3 + 6^2

Subtract 21 from 36 to get 15.

15/3 + 6^2

Divide 15 by 3 to get 5.

5+6^2

Calculate 6 to the power of 2 and get 36.

5+36

Add 5 and 36 to get 41.

41

3 0

3 years ago