If x -9 is a factor of x^2 -5 -36, what is the other factor?

alekssr [168]

-7 times -8 is 56 and -40 divided by 10 is -4

4 0

3 years ago

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

so

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

8 0

3 years ago

Draw two different shapes with a perimeter of 16 units. What is the area of each shape?

Nadusha1986 [10]

Shape #1: A square.
Every side is 4 units long.
The perimeter is 16 units.
The area is 16 square units.

Shape #2: A rectangle.
The length is 7.9 units.
The width is 0.1 unit.
The perimeter is 16 units.
The area is 0.79 of a square unit.

Shape #3: A circle.
The diameter is (16/π) units. (about 5.093 units)
The perimeter (circumference) is 16 units.
The area is (64/π) square units. (about 20.37 square units)

8 0

3 years ago

Read 2 more answers

29. Write iſ as an improper fraction, and multiply the

Alex Ar [27]

Answer: 29 = 5/6

Step-by-step explanation:

first you would convert 1 2/3 into a improper faction. So you would multiply 1 and 3 then add 2 so 5/3 then multiply that by 1/2. You would multiply the numerators and denominators, so 5 times 1 and 3 times 2 which gives you 5/6.

4 0

2 years ago

At the beginning of the bake sale merry set aside two pies for herself Kate bought half of the remaining pies for a birthday par

nirvana33 [79]

So.. .at the beginning of the sale, there was a total of "x" pies

now, let's see what happened to those pies
$\bf \begin{array}{lrlll}
&pies\\\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\\

Mary&x-2\\\\
Kate&\cfrac{x-2}{2}\\\\
\textit{pies sold}&10\\\\
\textit{pies leftover}&14
\end{array}$

so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover

if we subtract all those figures, and solve for "x",
we should get what "x" was, so $\bf (x-2)-\left( \cfrac{x-2}{2} \right)-10-14=0$

notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)

so.. just solve for "x"

6 0

3 years ago