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3 years ago

What is the slope of this scenario? The bowling alley charges $4 per game and a one time fee of $7 for bowling shoes. *

1 answer:

8 0

Slope: constant rate of change
Since one time = 7, it would stay 7
As it’s $4 per game, the slope is the rate of change. “Per game”

Solution: 4

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Describe the transformation done to y=1/x to get y=1/4x-12. Please Show Work.

goldenfox [79]

These are the steps for transforming y=1/x to y=1/4x -12:

Step 1: Compress the original function by 4 in x direction. This will yield,

y= 1/4x

Step 2: The resulting function in step 1 is moved down by 12 spaces. The resulting function will be;

y= 1/4x -12

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3 years ago

Round your answer to the nearest hundredth

nalin [4]

Answer:

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Hope this helps!

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3 years ago

let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a

Ksenya-84 [330]

Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

p ⇒ q

¬q ⇒ ¬p

In this case, the contrapositive claims that

"If there are no scalars α and β such that c = αa + βb, then a₁b₂ - a₂b₁ = 0."

The first equation is captured by a system of linear equations,

$\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}$

or in matrix form,

$\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}$

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

$\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0$

and this is what we wanted to prove. QED

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3 years ago

What is the length of AB?

Dovator [93]

Answer:

AB = 5

Step-by-step explanation:

The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3 times as long, and the side opposite the 90 degree angle will be twice as long.

In this case we just divide 10 by 2

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3 years ago

Read 2 more answers

What is the value of x?

kykrilka [37]

Answer:

Step-by-step explanation:

triangle adds upto 180 degrees

180 - (53+45) = 98

Then two lines adapt to 180 degrees

therefore, 180 -98 = 82