All categories

3 years ago

Write an equation of the line that passes through the given points.

Mathematics

1 answer:

garik1379 [7]3 years ago

8 0

Answer:

y=-2x+1

Step-by-step explanation:

to find the slope use the formula (y2-y1)/(x2-x1)

-5-3= -8

3-(-1) = 4

-8/4 = -2

You might be interested in

At the movie theatre, child admission is $6.30 and adult admission is $9.90 . On Monday, 159 tickets were sold for a total sales

frez [133]

C = child tickets
a = adult tickets

Solve this with the substitution method.
Make two equations:

6.30c + 9.90a = 1,246.50
c + a = 159

Solve for c.
Subtract 9.90a from both sides.

6.30c = 1,246.50 - 9.90a
Divide both sides by 6.30.

c = 197.86 - 1.57a (rounded to hundredths)
Plug c into second equation.

197.86 - 1.57a + a = 159
Combine like terms.

197.86 - 0.57a = 159
Subtract 197.86 from both sides.

-0.57a = -38.86
Divide both sides by -0.57.

a = 68.18
round up to ones: 68

 $\boxed {68~adult~tickets}$ were sold.

8 0

3 years ago

Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce and gar

AveGali [126]

There isn't an obvious question to this problem but with the given we can assume what is to be asked. I think we are to find the total cost of a certain poultry seasoning. The poultry seasoning would have a total weight of 4+2=6 ounces. The total cost will then have to be 4(4) + 2(3) = 22 dollars.

4 0

3 years ago

Read 2 more answers

Mario and Luigi have friends. They want to purchase some extra controllers. Each controller costs $29.99.

jonny [76]

An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:

Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all

The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,

C = 299x + 59.99y + 29.99z

4 0

3 years ago

When y = 35,x = 2.5. If the value of y varies directly with x what is the value of y when the value of xis 3.25

leonid [27]

Answer:

The value of y would be 45.5

Step-by-step explanation:

To solve this problem, start with the base form of direct variation.

y = kx

Now we can use our original values to model the equation and find k.

35 = k(2.5)

14 = k

Now we can model the equation as:

y = 14x

Now to find y, when x = 3.25, simply put 3.25 into the equation.

y = 14(3.25)

y = 45.5

8 0

4 years ago

In the inequality 1/ 2 x - 6 > 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is old

Tom [10]

Answer:

Option A) Todd is older than 32

Step-by-step explanation:

we have

$\frac{1}{2}x-6>10$

Solve for x

Adds 6 both sides

$\frac{1}{2}x>10+6\\\\\frac{1}{2}x>16$

Multiply by 2 both sides

$x>32$

Todd's age is greater than 32

therefore

Todd is older than 32

8 0

3 years ago