All categories

2 years ago

Select "ALL" statements that correctly describe the graph!!

Mathematics

1 answer:

larisa86 [58]2 years ago

6 0

Answer:

The slope is 1/2
The equation that represents this function is x -2y = 2

Step-by-step explanation:

Intercepts

The table shows the x-intercept to be (2, 0), and the y-intercept to be (0, -1). These are not matched by any of the answer choices.

Slope

The slope is ...

slope = (change in y)/(change in x) = (0 -(-1))/(2 -0) = 1/2

Equation

You can choose the equation by seeing if it works for a couple of points. You know the last equation is incorrect, because that slope-intercept form has the y-intercept as +1, not -1.

You might be interested in

A mother is currently 7 times older than her son. In 3 years time, she will be 5 times older than her son. Let x and y be the pr

Softa [21]

Answer:

If the child is currently 6 years old and the mom is 42, in three years she'll be 45 and he'll be 9

Step-by-step explanation:

The son is y and the mom is x

x=7y

x+3=5(y+3)

7y+3=5y+15

7y=5y+12

2y=12

y=6

8 0

3 years ago

Read 2 more answers

A surveyor measures a road as being 69.3km long, however there is a 1℅ error in this measurement .What is the true length of the

Vaselesa [24]

Answer:

69.993

Step-by-step explanation:

Using the percentage error formula:

Percentage error = (true - measured value / true measurement ) * 100%

1% error in measurement

1% of 69.3

0.01 * 69.3 = 0.693

True measurement = error in measurement + measured value

True measurement = 0.693 + 69.3

Actual measurement = 69.993

Hence, actual measurement = 69.993.

5 0

2 years ago

If y(x) = 4x, what is x when y(x) = 4 A. 1 B. 4 C. 2 D. 0

Eva8 [605]

Answer:

Step-by-step explanation:

cause if :

y=4

4(x)=4

4(1)=4

4=4

hope this helps

4 0

3 years ago

Suppose that is in standard position and the given point is on the terminal side of 0. Give the exact value of the indicated tri

Lilit [14]

Answer:

12/13

Step-by-step explanation:

The length of the segment from the origin to the terminal point is ...

r = √((-5)² +12²) = √169 = 13

The sine of the angle is the ratio of the y-coordinate to this distance

sin(θ) = y/r = 12/13

_____

Additional comment

The other trig functions are ...

cos(θ) = x/r = -5/13

tan(θ) = y/x = -12/5

This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.

6 0

2 years ago

Suppose I ask you to pick any four cards at random from a deck of 52, without replacement, and bet you one dollar that at least

Tatiana [17]

Answer:

a) No, because you have only 33.8% of chances of winning the bet.

b) No, because you have only 44.7% of chances of winning the bet.

Step-by-step explanation:

a) Of the total amount of cards (n=52 cards) there are 12 face cards (3 face cards: Jack, Queen, or King for everyone of the 4 suits: clubs, diamonds, hearts and spades).

The probabiility of losing this bet is the sum of:

- The probability of having a face card in the first turn

- The probability of having a face card in the second turn, having a non-face card in the first turn.

- The probability of having a face card in the third turn, having a non-face card in the previous turns.

- The probability of having a face card in the fourth turn, having a non-face card in the previous turns.

1) The probability of having a face card in the first turn

In this case, the chances are 12 in 52:

$P_1=P(face\, card)=12/52=0.231$

2) The probability of having a face card in the second turn, having a non-face card in the first turn.

In this case, first we have to get a non-face card (there are 40 in the dech of 52), and then, with the rest of the cards (there are 51 left now), getting a face card:

$P_2=P(non\,face\,card)*P(face\,card)=(40/52)*(12/51)=0.769*0.235=0.181$

3) The probability of having a face card in the third turn, having a non-face card in the first and second turn.

In this case, first we have to get two consecutive non-face card, and then, with the rest of the cards, getting a face card:

$P_3=(40/52)*(39/51)*(12/50)\\\\P_3=0.769*0.765*0.240=0.141$

4) The probability of having a face card in the fourth turn, having a non-face card in the previous turns.

In this case, first we have to get three consecutive non-face card, and then, with the rest of the cards, getting a face card:

$P_4=(40/52)*(39/51)*(38/50)*(12/49)\\\\P_4=0.769*0.765*0.76*0.245=0.109$

With these four probabilities we can calculate the probability of losing this bet:

$P=P_1+P_2+P_3+P_4=0.231+0.181+0.141+0.109=0.662$

The probability of losing is 66.2%, which is the same as saying you have (1-0.662)=0.338 or 33.8% of winning chances. Losing is more probable than winning, so you should not take the bet.

b) If the bet involves 3 cards, the only difference with a) is that there is no probability of getting the face card in the fourth turn.

We can calculate the probability of losing as the sum of the first probabilities already calculated:

$P=P_1+P_2+P_3=0.231+0.181+0.141=0.553$

There is 55.3% of losing (or 44.7% of winning), so it is still not convenient to bet.

5 0

3 years ago