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3 years ago

Write an equation for the line passing through the point (6,-2) that has a slope of -2

1 answer:

OverLord2011 [107]3 years ago

6 0

Hi,

I can use the formula y = mx + b to solve for b.

-2 = -2(6) + b ... Substitute values
-2 = -12 + b ... Simplify multilpication
10 = b ... Add 12 to both sides

I now know that the y-intercept is b, and since I am given that the slope is -2, I can write the line's equation in slope-intercept form:

y = -2x + 10

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If two cubes have edges of 1 and 2 , what is the sum of their volume???

Ivan

Volume of a cube: V = s^3, where s is the length of the edge.

So, the sum of them will be 1^3 + 2^3 = 9

7 0

3 years ago

Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1000, 5000, and

lana [24]

Answer:

Expected profit policy 1 = $40

Expected profit policy 2 = $20

Expected profit policy 3 = $10

Step-by-step explanation:

X values | Probability P(x)

0 | 0.80

1,000 | 0.08

5,000 | 0.10

10,000 | 0.02

A particular company offers three different policies:

Policy 1: $200 deductible with a $780 premium

Policy 2: $500 deductible with a $700 premium

Policy 3: $1000 deductible with a $590 premium

The company pays X - Y in damages if X > Y and 0 otherwise.

So the expected profit is given by

Expected profit = Premium amount - Expected payout

Expected profit = Premium amount - [ (X - deductible) × P(x) ]

Expected profit Policy 1:

E(x) = $780 - [ 0×0.80 + (1,000 - 200)×0.08 + (5,000 - 200)×0.10 + (10,000 - 200)×0.02 ]

E(x) = $780 - [ 0 + 64 + 480 + 196 ]

E(x) = $780 - $740

E(x) = $40

Expected profit Policy 2:

E(x) = $700 - [ 0×0.80 + (1,000 - 500)×0.08 + (5,000 - 500)×0.10 + (10,000 - 500)×0.02 ]

E(x) = $700 - [ 0 + 40 + 450 + 190 ]

E(x) = $700 - $680

E(x) = $20

Expected profit Policy 3:

E(x) = $590 - [ 0×0.80 + (1,000 - 1,000)×0.08 + (5,000 - 1,000)×0.10 + (10,000 - 1,000)×0.02 ]

E(x) = $590 - [ 0 + 0 + 400 + 180 ]

E(x) = $590 - $580

E(x) = $10

Therefore, the expected profits for the three policies are:

Expected profit policy 1 = $40

Expected profit policy 2 = $20

Expected profit policy 3 = $10

8 0

3 years ago

What is the value of x when y=6

kow [346]

Answer:

When x = 12, y = 4.

Step-by-step explanation:

∝

we can write that

⋅

where k is a constant of proportionality.

Using the values given:

⋅

⇒

⋅

6 0

3 years ago

1) The perimeter of a rectangular classroom floor is 90 feet. The length of the floor is twice the

lana [24]

Answer: The equation would NOT help us solve for the length and width of the classroom is " $x + 2y = 90$ ".

Step-by-step explanation:

Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .

Given ,

The perimeter of a rectangular classroom floor is 90 feet.

The length of the floor is twice the width.

i.e. Length =2 (width)

i.e. x= 2y ..(i)

Also, perimeter = 2(length+width)

$i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90$

When we put value of x from (i), we get

$2(2y) + 2y = 90$

Hence, the equation would NOT help us solve for the length and width of the classroom is " $x + 2y = 90$ ".

8 0

3 years ago

If x^2 = 7, what is the value of x?

SpyIntel [72]

Step-by-step explanation:

${x}^{2} = 7 \\ \\ \implies \: x = \sqrt{7} \\ \\ \implies \: x = 2.65$

5 0

3 years ago