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3 years ago

Mike buys 17 items at the Dollar Store. The tax rate is 8%. What is the total price?

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

$18.36

Step-by-step explanation:

that is the solution above

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Given vectors u = (-3,2) and v = (4,-1), if vector w=2u -3v, what is ||w|| ?

Brums [2.3K]

$\bf \begin{cases}
u=\ \textless \ -3,2\ \textgreater \ \\
2u=2\ \textless \ -3,2\ \textgreater \ \\
\qquad \ \textless \ 2\cdot -3,2\cdot 2\ \textgreater \ \\
\qquad \boxed{\ \textless \ -6,4\ \textgreater \ }\\
----------\\
v=\ \textless \ 4,-1\ \textgreater \ \\
3v=3\ \textless \ 4,-1\ \textgreater \ \\
\qquad \ \textless \ 3\cdot 4,3\cdot -1\ \textgreater \ \\
\qquad \boxed{\ \textless \ 12,-3\ \textgreater \ }
\end{cases}\qquad
\begin{array}{llll}
w=2u-3v\\\\
w=\ \textless \ -6,4\ \textgreater \ -\ \textless \ 12,-3\ \textgreater \ \\\\
w=\ \textless \ -6-12,4-(-3)\ \textgreater \ \\\\
w=\ \textless \ -18,4+3\ \textgreater \ \\\\
\boxed{w=\ \textless \ -18,7\ \textgreater \ }
\end{array}
\\\\\\
||w||\implies \sqrt{a^2+b^2}\implies ||w||=\sqrt{(-18)^2+(7)^2}\implies ||w||=373$

7 0

3 years ago

use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7

Dimas [21]

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

$\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]$

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

$A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]$

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

$A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]$

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

6 0

3 years ago

Find the slop for the given graph and y-intercept <br><br> I got a pic to lol

Sergeeva-Olga [200]

The slope is rise/run
3 up and 3 to the left: 3/3 = 1
The slope is 1

Assuming graph is 1 units per box and y intercept is (0,y), looking at the graph you can see it’s (0,-1)
The y intercept is (0,-1)

3 0

3 years ago

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$