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Ulleksa [173]
2 years ago
9

7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.​

Mathematics
1 answer:
PtichkaEL [24]2 years ago
5 0

Answer:

We get value of y: y = 2

Step-by-step explanation:

The points (3,5) and (2, y) are on a line with a slope of 3. Find y.​

We can find y using formula of finding slope of a line.

The formula is: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=3, y_1=5, x_2=2, y_2=y and Slope = 3

Putting values and finding y

Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2

So, we get value of y: y = 2

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Montano1993 [528]

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

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The correct option is C

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3 years ago
A special deck of cards has ten cards. Four are green (G), four are blue (B), and two are red (R). When a card is picked, the co
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Answer:

{GT, GH, BT, BH, RT, RH};

1 /5;

Mutually exclusive ;

Not mutually exclusive.

Step-by-step explanation:

Given :

Green cards, G = 4

Blue cards, B = 4

Red cards, R = 2

For a coin toss :

{H, T}

A card is picked, then a coin is tossed :

Sample space :

{GT, GH, BT, BH, RT, RH}

2.) probability of picking a green card, then probability of landing a head on a coin toss

P(A) = number of required outcome / Total possible outcomes

P(A) = P(green card) * P(Head)

P(A) = (4 / 10) * (1/2)

P(A) = 4 /20

P(A) = 1/5

C.)

Both A and B are mutually exclusive, since both event A and event B cannot occur together, since both red and green cannot be picked during a single pick, this either a red is picked or green is picked, then they are A and B are mutually exclusive.

D.) Event A and C are not mutually exclusive, picking a green card, event A and picking a red or blue card, event B. Both event can happen simultaneously, hence, event A and B are not mutually exclusive.

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In this question, we given a piece-wise function, that has different definitions depending on the domain.

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The exercise asks for us to evaluate the function at x = 0

We have to look at the definition, and see which definition includes x = 0. The equal sign at x = 0 is on the second definition, that is:

f(x) = 1, 0 \leq x < 2

Thus, at x = 0, the value of the function is 1, and the correct answer is given by option A.

For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003

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