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3 years ago

Write the equation of the line that passes through the points (0, -5) and (2, -1).

Mathematics

1 answer:

IRISSAK [1]3 years ago

5 0

Answer:

y = -2x + 3

Step-by-step explanation:

To find the slope, we can use this formula: y2 - y1/x2 - x1

Y2 is the y - coordinate from the second coordinate, so you should be able to figure out what the rest of the letters represent in that formula.

So we would plug in the coordinates and find the slope.

-1 - (-5)/2 - 0

4/-2

slope = m = -2

We know the slope and coordinates, so we can plug those into the equation and find the y intercept, or b.

y = mx + b

-1 = -2(2) + b

-1 = -4 + b

3 = b

Now we know the slope and y intercept so we can put them into the equation to find the final equation, which is: y = -2x + 3

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The sum of John’s and Matt’s ages is 42. The difference of their ages is 6. If Matt is older than John, what are their ages? Mat

jasenka [17]

Matt is 24 and John is 18. 24 - 18 is 6. And 24 + 18 would equal 42.

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3 years ago

Read 2 more answers

Each of the 25 balls in a certain box is either red, blue or white and has a number from 1 to 10 painted on it. If one ball is t

Aneli [31]

Answer:

Not sufficient information

Step-by-step explanation:

Probability of white ball: P(W)

Probability of even number: P(E)

Probability of white ball or even number: P(W∨E) is asked

Considering case (1):

Probability of white ball and even number: P(W∧E) = 0

And we know that,

P(W∨E) = P(W) + P(E) - P(W∧E) = P(W) + P(E) - 0 = P(W) + P(E)

It is not sufficient to calculate the desired probability.

Considering case (2):

P(W) - P(E) = 0.2

Here, it is possible for P(W) and P(E) to get multiply values.

So P(W∨E) cannot be determined.

Considering cases (1) & (2):

P(W∧E) = 0 and P(W) - P(E) = 0.2

So, P(W∨E) = P(W) + P(E) = P(E) + 0.2 + P(E) = 2P(E) + 0.2

Again multiple answers are possible.

Such as, for P(E) = 0.4 (10 even balls) ⇒ P(W∨E) = 1

but for P(E) = 0.2 (5 even balls) ⇒ P(W∨E) = 0.6

So, the information are not sufficient.

3 0

3 years ago

Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his sales each month. Raymond earns $1

joja [24]

Answer:

The Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

Step-by-step explanation:

Given data

Let no. of sales = x

Jonathon earning = $ 1500 + $\frac{10}{100} x$

Raymond earning = $ 1200 + $\frac{15}{100} x$

Given that the earnings of Jonathon & Raymond are same.

1500 + $\frac{10}{100} x$ = 1200 + $\frac{15}{100} x$

300 = $\frac{5}{100} x$

x = 6000 sales

Therefore the Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

4 0

3 years ago

Solve the equation using the distributive property and properties ofequally 1/2 (x+6)=18 what is the value of X

Natali [406]

x = 30

The distributive property says that we need to multiply what's in the brackets by 1/2 (so 1/2*x and 1/2*6) to get the equation 1/2x + 3 = 18.

Then we need to subtract our constant, 3, from boths sides to get 1/2x = 15.

Multiply both sides by two to isolate x and you get x = 30.

Hope this helps! :)

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3 years ago

the snack shack is making a batch of trail mix. they use 9 1/3 pounds of granola, 9 1/3 pounds of mixed nuts, and 9 1/3 pounds o

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9 1/3•3 = 28

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3 years ago