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3 years ago

Which equation represents a line that passes through (-9,-3) and has a slope of -6?

Mathematics

1 answer:

zmey [24]3 years ago

4 0

Answer: y=-6x-57

Step-by-step explanation: the normal format of a linear equation is

y=(slope)x+y intercept. The slope is -6 so y=-6x+y intercept. Plugging in the cordinates, -3=-9(-6)+y intercept. We'll call the y intercept b. -3=54+b. Subtract 54 from both sides of the equation and you get b=-54. The linear equation is

y=-6x-57.

You can check by plugging in x= -9, and y= -3. -3=54-57. -3=-3

You might be interested in

Which ratio is not equivalent to the other ratios shown in this table?

grandymaker [24]

12 to 2 is 6:1
24 to 4 is 6:1
32 to 6 is 16:3
48 to 8 is 6:1

So 32 to 6 is the one that isn’t equivalent. :)

8 0

3 years ago

Can someone help with this please??

adoni [48]

Answer:

doesn't x equal 6 too?

Step-by-step explanation:

since x is the same size as the other side of the triangle

8 0

4 years ago

What is the solution to -2(4x + 8) 4(2 - x)?

Gnesinka [82]

Answer:b

Step-by-step explanation:

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7 0

3 years ago

How many terms does the polynomial 8x5+2x2−9x7+32x−8 have?

kifflom [539]

Answer:

Five

Step-by-step explanation:

Write the polynomial in decreasing powers of x

-9x⁷ + 8x⁵ + 2x² + 32x - 8

We see that, although the polynomial is seventh degree, it has only five terms.

3 0

3 years ago

Read 2 more answers

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chan

Iteru [2.4K]

Complete Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice

a What is the probability that Christine fails the course

b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability

Answer:

$P(F) = 0.264$

$P(T | F ) = 0.23636$

Step-by-step explanation:

From the question we are told that

The probability that Christine will fail the course if she does not have a tutor is $P(F| T') = 0.42$

The probability that Christine will fail the course if she has a tutor is $P(F| T) = 0.12$

The probability that she will find a tutor is $P(T) = 0.52$

Generally the probability that she will not find a tutor is

$P(T') = 1 - 0.52$

=> $P(T') = 0.48$

Generally the probability of failing the course is

$P(F) = P(F \ n \ T) + P(F \ n \ T')$

=> $P(F) = P(F| T) * P(T) + P(A | T') * P(T')$

=> $P(F) = 0.12 * 0.52 + 0.42* 0.48$

=> $P(F) = 0.264$

Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

$P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}$

=> $P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}$

=> $P(T | F ) = 0.23636$

5 0

3 years ago