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Snezhnost [94]
3 years ago
9

What is the solution to the inequality |X-4 <3?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0

Answer:

x > 1 or x < 7

Step-by-step explanation:

| x - 4 | < 3

± ( x - 4 ) < 3

There are two possible cases

( x - 4 ) < 3 or - ( x - 4 ) < 3

x - 4 < 3 or - x + 4 < 3

x < 3 + 4 or 4 - 3 < x

x < 7 or 1 < x

x > 1 or x < 7

Therefore option 4 is correct.

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So, Jerome bought a total of 80 cards (8x10) out of which he gave out 30 cards (3x10) so he has 50 cards left. (80-30)
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Zachary purchased a computer for ​$1,300 on a payment plan. Five months after he purchased the​ computer, his balance was ​$575.
HACTEHA [7]

Answer:

y=1300-285x

Step-by-step explanation:

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3 years ago
Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2
Dimas [21]

Answer:

(D) y=x+\frac{1}{2}

Step-by-step explanation:

Two variables x and y are proportionally related  if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if k=\frac{1}{2}

(B)y=\frac{1}{2}x is of the form y=kx

(C)y=\frac{3}{6}x is of the form y=kx with k=\frac{1}{2} as \frac{3}{6}=\frac{1}{2} in its lowest form.

(C)y=0.5x is of the form y=kx with k=\frac{1}{2} as 0.5=\frac{1}{2} in fractional form.

On the Contrary,

In Option D, y=x+\frac{1}{2} does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.

6 0
3 years ago
5 times 2/12=___ 4 times 2/3=___ 6 times 2/6=___ 2 times 4/8=___ 3 times 1/2=____
uysha [10]

Answer:

1) .8333 2) 2.6666 3) 2 4) 1.5

Step-by-step explanation:

I just used a calculator.

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3 years ago
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Firdavs [7]

Answer:

1. The growth rate is 2

2. The sample is losing half its mass, so the decay factor is 1/2 or 0.5

Step-by-step explanation:

The growth and decay factor in an exponential function is the number that is being multiplied to the power of x

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  • It is a decay rate when the number is less than 1
  • If it's 1 then it's not growing or decaying
  • If it's 0 you will have an answer of 0
8 0
2 years ago
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