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3 years ago

determine the intercepts of the line that correspond to the following table of values. -14,9 -10,18 -6,27

1 answer:

8 0

I'll need to assume that your "-14,9" means (-14,9); if so, please use parentheses next time to indicate that you're sharing the coordinates of a point.

As we go from (-14,9) to (-10,18), x increases by 4 and y increases by 9. Thus, the slope of this line is m = rise / run = 9/4.

We want the intercepts of this line. Let's use the slope-intercept form y = mx + b. Substituting the given info: -10 for x and 18 for y, and m = 9/4, we get:

18 = (9/4)(-10) + b, where b is the y-intercept.

Solving for b, we get 18 + 90/4 = (72+90)/4 = 162/4, or 81/2.

Then b = 81/2, and the equation of the line is y = (9/4)x + 81/2.

Now find the x-intercept. To do this, let y = 0; then (9/4)x = -81/2, Mult. both sides by 4 to eliminate the fractions: 9x = -162, or x = -18. The x-intercept is (-18,0) and the y-intercept is (0,81/2)

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A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.21, the probabil

WITCHER [35]

Answer:

2.65 dollars

Step-by-step explanation:

The expected value for a discrete variable is calculated as:

E(x)=x1P(x1) + x2P(x2) + ... + xnP(xn)

Where x1, x2, ... , xn are the possibles values of the variable and P(x1), P(x2), ... , P(xn) are the probabilities of x1, x2, ... , xn respectively.

In this case, the roll can comes up 1, 2, 3 or 4 and you can win 1, 2, 3 or 4 dollars respectively. So, taking into account that they are mutually exclusive events, the probability that the player win 1, 2, 3 or 4 dollars is:

P(1) = 0.21

P(2) = P(1∪2) - P(1) = 0.42 - 0.21 = 0.21

P(3) = P(2∪3) - P(2) = 0.51 - 0.21 = 0.3

P(4) = 1 - P(1) - P(2) - P(3) = 1 - 0.21 - 0.21 - 0.3 = 0.28

Therefore, If you win the amount that appears on the die the expected winning are:

E(x) = $1P(1) + $2P(2) + $3P(3) + $4P(4)

E(x) = $1(0.21) + $2(0.21) + $3(0.3) + $4(0.28)

E(x) = $2.65

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3 years ago

The volume of a can is 8.50 m' Express this volume in (a)cm^3, (b)ft^3, (c)in^3.

jeyben [28]

Answer:

$(tex)2)240 = 15n( |tex)$

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3 years ago

Mr.Lopez had $75.00. He bought his wife a gift for $45.00. What percentage of his money did he spend on the gift for his wife?

omeli [17]

($45.00)/($75.00)=.6
(.6)*100=60

60%

3 0

3 years ago

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1,5)?

romanna [79]

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{5 - (-1)}{-1 - 3} = \frac{5 + 1}{-4} = \frac{6}{-4} = \frac{3}{-2} = -1\frac{1}{2}$
y - y₁ = m(x - x₁)
y - (-1) = -1¹/₂(x - 3)
y + 1 = -1¹/₂(x) + 1¹/₂(3)
y + 1 = -1¹/₂x + 4¹/₂
      - 1 - 1
   y = -1¹/₂x + 3¹/₂

4x + y - 2 = 0
      + 2 + 2
       4x + y = 2
4x - 4x + y = -4x + 2
   y = -4x + 2
   y - y₁ = m(x - x₁)
      y - (-3) = -4(x - 4)
       y + 3 = -4(x) + 4(4)
   y + 3 = -4x + 16
       - 3 - 3
   y = -4x + 13

2x - 3y - 5 = 0
       + 5 + 5
2x - 2x - 3y = -2x + 5
   -3y = -2x + 5
      -3    -3
      y = ²/₃x - 1²/₃
   y - (-3) = -1¹/₂(x - 4)
      y + 3 = -1¹/₂(x) + 1¹/₂(4)
      y + 3 = -1¹/₂x + 6
      - 3     - 3
      y = -1¹/₂x + 3

8 0

3 years ago

Read 2 more answers

Here are the correct answers for these questions below<br> A = 028<br> B = 210

Fynjy0 [20]

Umm...... Okay then..?

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3 years ago