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Yakvenalex [24]
3 years ago
7

What are the solutions to the inequality (x-3)(x+5) SO?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

x

2

+

2

x

−

15

Step-by-step explanation:

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If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]

The inverse of the matrix is

\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]

So, the Inverse Transformation is given by

T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

So, no option is correct. And the answer is

T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0
2 years ago
Find the value of c that completes the square. k^2-18k+c
eimsori [14]

Answer:

c = 81

(k-9)(k-9)

k²-18k +81

4 0
2 years ago
Read 2 more answers
Mikhael is a technical writer. He is paid $2.95 a page. A normal job has 600 pages and requires about 225 words per page. Mikhae
Sedaia [141]

Answer:

$1770 for 25 hours

Step-by-step explanation:

600 × 225 = 135000

135000 ÷ 90 = 1500 min

1500min=25 hours

$2.95×600= $1770

7 0
2 years ago
How to solve for z 6-1/2z=2/3
sergey [27]
6 - 1/2z = 2/3
Steps
First, subtract 6 from both sides
6 - 1/2z - 6 = 2/3 - 6
Then, simplify
-1/2z = -16/3
Then, multiply both sides by -2
(-1/2z) (-2) = (-16/3) (-2)
Then, simplify
z = 32/3
3 0
3 years ago
Read 2 more answers
Juan has c cheesecakes. Clarence has 5 less than 3 times as many cheesecakes as Juan has and Darlene has 2 more than half as man
Setler [38]
C= Clarence, J= Juan, and D= Darlene
C= 3J-5
D= C/2+2
J= c
5 0
3 years ago
Read 2 more answers
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