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Andrew [12]
3 years ago
8

Determine whether (0, 5) is a solution for y=3x-5.

Mathematics
1 answer:
TEA [102]3 years ago
4 0
(0,5) is represented by (x,y) which can be plugged straight into the equation. So substitute 5 for y and solve the equation: 5=3x-5
5+5=3x
10=3x
10/3=x
Because X did not work out to equal zero, it is not a solution.
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One card is randomly selected from a deck of cards find the odds against drawing a seven
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Answer:

\frac{3}{4}

Step-by-step explanation:

Probability of getting a 7 + Probability of not getting a 7 = 1.

Odds against drawing a 7 = Probability of not getting a 7.

We could calculate the probability of getting a 7 and subtract 1 from it to get the answer.

There a four sevens in a deck of card, one of each kind.

Probability of getting a 7 = $ P(7) = \frac{4}{52} = \frac{1}{13} $

$ \implies P(not \hspace{1mm} getting \hspace{1mm} a \hspace{1mm} 7) = 1 - P(7) $

$ \implies $ P(not getting a 7) $ = 1 - \frac{1}{13} = \frac{12}{13} $

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morpeh [17]

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Step-by-step explanation:

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2 years ago
Find the equation of the line through (8,−6) which is perpendicular to the line y=x3−7.
ycow [4]

Answer:

y = (-1/3)(x + 10)

Step-by-step explanation:

The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3.  Thus, the perpendicular line has the slope -1/3.

Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:

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Multiplying all three terms by 3 removes the fraction:

-18 = -8 + 3b.  Thus, -10 = 3b, and so b must be -10/3.

The desired equation is    

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