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3 years ago

50 points.... just a lil confused

Mathematics

1 answer:

Zarrin [17]3 years ago

8 0

Answer:

One solution: (0.4, -4.8)

Step-by-step explanation:

Given equations

y = -2x - 4
y = 1/2x - 5

This system has one solution since the two lines represented by the equations have different slopes.

Solution:

-2x - 4 = 1/2x - 5
-2x - 1/2x = -5 + 4
-2.5x = -1
2.5x = 1
x = 1/2.5
x = 0.4

And y is:

y = -2*0.4 - 4 = -4.8

The point is:

(0.4, -4.8)

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You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

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3 years ago

Which situation CANNOT be represented by this equation?

aniked [119]

Answer:

Step-by-step explanation:

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3 years ago

Please answer i need help

White raven [17]

Answer:

5-3í

Step-by-step explanation:

Because the root of nine is three, equaling 5-3í

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2 years ago

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The GOAL of solving equations is to get the variable by itself on one side of the equation and a number on the other side of the

trasher [3.6K]

To do this you need to isolate the variable using PEMDAS?
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8 0

3 years ago

Find the number of sides for a regular polygon whose interior angles each measure 10 times each exterior angle

gavmur [86]

Answer:

22 sides

Step-by-step explanation:

The expression to find an interior angle of a polygon is:

$\frac{(n-2)*180}{n}$

The expression to find an exterior angle of a polygon is:

$\frac{360}{n}$

Please note that "n" represents the number of sides the polygon has.

We can use these two expressions to set up an equation.

$\frac{(n-2)*180}{n}=10(\frac{360}{n})$

Multiply both sides by "n":

$(n-2)*180=10n(\frac{360}{n})$

Now, distribute:

$180(n)-180(2)=\frac{3600n}{n}\\180n-360=3600$

Divide both sides by 10:

$\frac{180n}{10}-\frac{360}{10}=\frac{3600}{10}\\$

$18n-36=360$

Add 36 to both sides:

$18n=360+36\\18n=396$

Divide both sides by 18:

$n=22$

The polygon has 22 sides

6 0

2 years ago