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Artemon [7]
3 years ago
14

For the compound inequality x + 2 ≥ a AND x - 7 ≤ b, find values of a and b for which the only solution is x = 1.

Mathematics
1 answer:
storchak [24]3 years ago
8 0
The answer is obviously, A=45, B=57
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A certain virus is dying off at a rate of 18% per hour. Initially there were
djyliett [7]

Answer:

3 strain would still alive after 48 hours

Step-by-step explanation:

Initial population of virus = 40000 grams

A certain virus is dying off at a rate of 18% per hour.

We are supposed to find  how much of the  strain would still be alive after 48 hours

Formula : N(t)=N_0(1-r)^t

N_0=Initial population

N(t)= Population after t hours

r = rate of decrease = 18% = 0.18

t = time = 48 hours

So,the  strain would still be alive after 48 hours=40000(1-0.18)^{48}=2.91 \sim 3

Hence 3 strain would still alive after 48 hours

3 0
3 years ago
A number cube is rolled 198 times. How many times would you expect to roll a 5?
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Answer:

33 times

Step-by-step explanation:

we divide 198 by 6 because there are 6 sides on a dice and 199 ÷ 6 is 33

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If f(x)=x/2-3and g(x)=4x^2+x-4, find (f+g)(x)
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Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2-3 + 4x²+x+4

= ..........

4 0
3 years ago
X2 - 12x + 32 = (x - 8)
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Answer:
x=40/11 or 3 7/11

3 0
2 years ago
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Please help Factor completely. Show your work (as much work as possible, including a ​list of factors if
defon

Answer:

1. x =0; x = -7

2. x = -3; x = 10

3. x = -5; x = -4

Step-by-step explanation:

(1). 6x² + 42x = 0

6x (x + 7) = 0

6x = 0. OR. x + 7 = 0

x = 0/6. x = 0 - 7

x = 0. x = -7

x = 0

x = -7

(2). x² - 7x - 30 = 0

The factors here are (3, -10)

x² - 10x + 3x - 30 = 0

x ( x - 10) + 3 ( x - 10) = 0

(x + 3) ( x - 10) = 0

x + 3 = 0 OR. x - 10 = 0

x = 0-3. x = 0 + 10

x = -3. x = 10

x = -3

x = 10

(3). x² + 9x + 20 = 0

The factors are ( 4, 5)

x² + 4x + 5x + 20 = 0

x ( x + 4) + 5 ( x + 4) = 0

(x + 5) (x + 4) = 0

x + 5 = 0 . OR. x + 4 = 0

x = 0-5. x = 0 - 4

x = -5. x = -4

x = -5

x = -4

6 0
3 years ago
Read 2 more answers
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