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77julia77 [94]
2 years ago
14

Which of the following situations can be represented by the expression 3n – 15 ? Select all that apply. ​

Mathematics
1 answer:
densk [106]2 years ago
6 0

Answer: B

Step-by-step explanation:

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Hi I also need help with this please and thank you
OverLord2011 [107]

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept

m=(y2-y1)/(x2-x1)

m=(-2-4)/(2+1)

m=-2 so far we have the slope

y=-2x+b, using point (2,-2) we can solve for b, the y intercept

-2=-2(2)+b

-2=-4+b

2=b so we have our line

y=-2x+2, slope is -2 and y intercept is 2

8 0
3 years ago
let t : r2 →r2 be the linear transformation that reflects vectors over the y−axis. a) geometrically (that is without computing a
tangare [24]

(a) ( 1, 0 ) is the eigen vector for '-1' and ( 0, 1 ) is the eigen vector for '1'.

(b)  two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

See the figure for the graph:

(a) for any (x, y) ∈ R² the reflection of (x, y) over the y - axis is ( -x, y )

∴ x → -x hence '-1' is the eigen value.

∴ y → y hence '1' is the eigen value.

also, ( 1, 0 ) → -1 ( 1, 0 ) so ( 1, 0 ) is the eigen vector for '-1'.

( 0, 1 ) → 1 ( 0, 1 ) so ( 0, 1 ) is the eigen vector for '1'.

(b) ∵ T(x, y) = (-x, y)

T(x) = -x = (-1)(x) + 0(y)

T(y) =  y = 0(x) + 1(y)

Matrix Representation of T = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right]

now, eigen value of 'T'

T - kI =  \left[\begin{array}{cc}-1-k&0\\0&1-k\end{array}\right]

after solving the determinant,

we get two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

Hence,

(a) ( 1, 0 ) is the eigen vector for '-1' and ( 0, 1 ) is the eigen vector for '1'.

(b)  two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

Learn more about " Matrix and Eigen Values, Vector " from here: brainly.com/question/13050052

#SPJ4

6 0
1 year ago
How do convert 50/6 in the lowest fraction
vovikov84 [41]

\bf \cfrac{50}{6}\implies \stackrel{\textit{some quick prime factoring on both}}{\cfrac{2\cdot 5\cdot 5}{2\cdot 3}}\implies \cfrac{2}{2}\cdot \cfrac{5\cdot 5}{3}\implies 1\cdot \cfrac{5\cdot 5}{3}\implies \cfrac{25}{3}

5 0
3 years ago
Solve for x. x + 7 -3 = 1<br><br><br> i need help
MA_775_DIABLO [31]
X+7-3=1 X+4=1 -4 -4 X=-3 Copy exactly how you see it
8 0
3 years ago
2x 5 The area of the rectangle shown is given by the function A()- 2 -5x lfthe width of the rectangle is 13, then the area is 42
PIT_PIT [208]
If you let x = 13:
     Then, Area = 2(13)^2 - 5(13)
                        = 338 - 65
                        = 273 sq ft

If you let 2x-5 = 13:
                  2x = 18
                    x = 6
 
     Then, Area = 2(6)^2 - 5(6)
                        = 72 - 30
                        = 42 sq ft

Therefore, your options are A or C. Your answer can be chosen based on what you assume the width to be. Good luck!

7 0
3 years ago
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