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Lapatulllka [165]
3 years ago
11

If a staff of 9 people had to clean a hotel with 198 rooms, how many would each person have to clean if they devided the rooms e

qally
Mathematics
1 answer:
dedylja [7]3 years ago
5 0
You would divide 198 by 9.
198÷9=22
Each person would clean 22 rooms.
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Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

-5k = 10

so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




7 0
3 years ago
WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY.
Lady_Fox [76]

Answer:

Always true because there are no other options that allow the equations to be true

Step-by-step explanation:

a+4=8

subtract 4

a=4

4-m=2

add m

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subtract 2

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3 0
3 years ago
Put thes fallowing numbers in order from largest to smallest -3, -3.5, 6, -6, 0, 1
Verdich [7]
6, 1, 0, -3, -3.5, -6
5 0
3 years ago
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Can someone help me with this and show the step to solving it
anyanavicka [17]

Answer:x = 9/16

Step-by-step explanation:

2x + 3 = 6x - 4

/3

First you gotta get rid of the divided by 3

2x / 3 = 2/3x and 3 / 3 = 1

Now you have

2/3x + 1 = 6x - 4

Second you have to get rid of the 2/3x on the left side

2/3x + 1 = 6x - 4

-2/3x          -2/3x

1 = 5 1/3x - 4

Third you have to get rid of the -4

1 = 5 1/3x - 4

-4             -4

-3 = 5 1/3x

Fourth you have to divide by 5 1/3

-3 = 5 1/3x

/ 5 1/3    / 5 1/3

x = 9/16

3 0
3 years ago
HELP.. What angle pair relationship is shown?
Greeley [361]
Answer: Corresponding
7 0
2 years ago
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