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2 years ago

How do you solve the equation y-3=-¼(x+3)

1 answer:

8 0

Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.

<h3><u>You can simplify this equation to x = -4y + 12</u></h3>

y - 3 = -1/4(x + 3)

Distributive property.

y - 3 = -1/4x - 3/4

Multiply all terms by 4.

4y - 12 = -x

Multiply all terms by -1

-4y + 12 = x

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Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?

beks73 [17]

X' = U - X

= {1,2,3,4,5,6} - {1,4,5}

= {2,3,6}

(ZUX') = {2,3,5} U {2,3,6}

= {2,3,5,6}

(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}

= {2}

3 0

3 years ago

Evaluate the function for x = 2,3,4<br> F(x) =2x-7-3

laila [671]

Answer:

below in bold

Step-by-step explanation:

f(x) = 2x - 7 - 3

~Combine like terms

f(x) = 2x - 10

When x = 2...

f(x) = 2(2) - 10

f(x) = 4 - 10

f(x) = -6

When x = 3...

f(x) = 2(3) - 10

f(x) = 6 - 10

f(x) = -4

When x = 4...

f(x) = 2(4) - 10

f(x) = 8 - 10

f(x) = -2

Best of Luck!

8 0

3 years ago

in a survey, 0.82 of students stated they have homework everyday what is this value written as a fraction

juin [17]

0.82 as a fraction would be 82/100

4 0

2 years ago

Read 2 more answers

Which equation could be used to solve this problem? The sum of two consecutive integers is 141. Find the integers. A. n + 1= 141

Kamila [148]

D. works because if you work it out that means 2n=140 and then divide by 2 which means n=70 and the other number is 71

7 0

3 years ago

98 Points! MATH SOLVING SYSTEMS OF LINEAR EQUATIONS

photoshop1234 [79]

Answer:

40 Tickets

80 Tickets

Step-by-step explanation:

To find how many tickets it will take to break even, we use the formula:

$Break Even In Units = \dfrac{FixedCost}{SalesPricePerUnit-VariableCost}$

Our variables are:

Fixed Cost = $200

Sales Price = $10

Variable Cost = $5

Let's plug in our values into the formula.

$Break Even In Units = \dfrac{200}{10-5}$

$Break Even In Units = \dfrac{200}{5}$

$Break Even In Units = 40$

So the class needs to sell a total of 40 Tickets to break even.

Since we know that it takes 40 tickets to break even a $200 Fixed cost. To make a profit of $200, we simply multiply the number of tickets sold by 2.

Number of tickets for $200 profit = 40 x 2

Number of tickets for $200 profit = 80 Tickets.

So the class needs to sell 80 Tickets to make a $200 Profit.

5 0

2 years ago