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ira [324]
3 years ago
5

Hi, please help!

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0
Answer: 5-/5-10/-3

Explaination: just fill in the letter it corresponds to
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To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $7.40 per hour. The chemistr
Mamont248 [21]
T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40


Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.


Res Fee + ($ per hr * # hrs) < $97.60

$31 + $7.40t < $97.60
subtract 31 from both sides

7.40t < 66.60
divide both sides by 7.40

t < 9


ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.

Hope this helps! :)
7 0
3 years ago
If Dave drives at a steady speed of 50 mph, how long will it take him to drive 10 miles?
ira [324]
50 miles = 1 hour
10 miles = 1/50 x 10
= 1/5 hours
= 12 minutes

It will take him 12 minutes to drive 10 miles.
5 0
3 years ago
Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.
Keith_Richards [23]

Answer:

  x^4 -53x^2 +108x +160

Step-by-step explanation:

If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...

  p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

  = (x^2 +9x +8)(x^2 -9x +20)

We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

  = (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

  = x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

  p(x) = x^4 -53x^2 +108x +160

_____

The graph shows this polynomial has the required zeros.

4 0
3 years ago
a group of 31 friends gets together to play a sport. first people must be divided into teams. each team has to exactly 4 players
azamat
We have the following values:
 Total people: 31
 People per team: 4
 The number of teams will then be:
 N = (31) / (4)
 N = 7.75
 Round to the previous whole number.
 N = 7
 There are 7 teams.
 Answer:
 
they can make about 7 teams.
3 0
3 years ago
What is the vertex of y = x2 + 2x +2<br> O (1,-1)<br> O (2,-2)<br> O (1, 2)<br> 0 (-1, 1)
fredd [130]

Answer:

vertex = (- 1, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

x = - \frac{2}{2} = - 1

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )

8 0
2 years ago
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