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3 years ago

Calculate the slope of the line through the points (6,-8) and (3,-4)

Mathematics

1 answer:

nevsk [136]3 years ago

7 0

Answer:

a. y=-4/3 x

b. Yes because the point makes the equation true.

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4--8}{3-6}=\frac{-4+8}{-3}=\frac{4}{-3}=\frac{-4}{3}$

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--4)=-4/3(x-3)

y+4=-4/3(x-3)

y+4=-4/3x +4

y=-4/3x

Test (-3,4): 4= -4/3 (-3)

4=4 Yes

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Plz help with math and show your work

Inga [223]

26. 2x^2 +4x -10 = 0 (-4 + - (root(4^2 - 4*2*-10)))/2*2 =
(-4 + - (root(96)))/4
(-4 + (root(96)))/4 ≈ 1.45
(-4 - (root(96)))/4 ≈ -3.45

27. f(x) = 0 when any of the components that multiply together equal 0 for this function therefore x -2 = 0 x +3 = 0 x -5 = 0 so f(x) = 0 when x = 2, -3 or 5

28. It looks like it shows you how to do it

4 0

3 years ago

Please answer the answer correctly

Tju [1.3M]

Answer:

From (-3,0) to (3,2) the equation is y=1/3x + 1 and the other side from (3,1) to (4,-1) is y= -3x + 11

Step-by-step explanation:

Thanks for helping me with the other one

7 0

3 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

The art club had an election to select a president. 57 members voted in the election and 19 did not vote. What percentage of the

laila [671]

Answer:

75% voted

Step-by-step explanation:

you add the 75 to 19 to figure out the total amount of people in the club.

75+19=76

Then you divide the people who voted which is 57 by the total amount of people in the club which is 76

57/76=0.75

then you move the decimal two places to the left and you get 75%

5 0

3 years ago

What is the following number rounded to the nearest hundred of 327,659

krek1111 [17]

The correct answer is 327,700

6 0

3 years ago