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sladkih [1.3K]
3 years ago
13

Please help!!! I need this done today!!

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

1) distance travelled = 75mi

time taken = 3 hrs.

speed = distance/time

= 75/3 = 25 mi/hr.

now, if time = 1.6 hrs.

Distance = speed x time

= 25 x 1.6 = 40.0 mi

---------------------------------------------------------------------------------------------

2) earning for 8 hrs. of work = $120.

therefore, rate of earning per hr. = 120/8 = $15/hr.

so, earning in 11 hrs. = 15 x 11 = $165


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Step-by-step explanation:

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y = -3x -1

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Answer:

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2 years ago
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
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