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ehidna [41]
3 years ago
8

How many solutions for x does the following equation have? 3(x + 8) − 1 = 3x + 4

Mathematics
2 answers:
Alja [10]3 years ago
4 0

Answer:

none

Step-by-step explanation:

distribute the left side

3x+24-1=3x+4

simplify

3x+23=3x+4

23=4

this is never true, therefore there are no solutions

EastWind [94]3 years ago
4 0

Answer:

None

Step-by-step explanation:

3(x + 8) − 1 = 3x + 4

Distribute

3x + 24 - 1 = 3x + 4

3x + 23 = 3x + 4

Subtract 3x from both sides

23 = 4.....False

No Solution

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I think of a number, I subtract 10 and add 2 . My answer is 20, What was my number​
Alina [70]

Answer:

28

Step-by-step explanation:

x-10+2=20

add -10 and 2 together to simplify the equation

x-8=20

add 8 to both sides to isolate x

x=28

hope this helped!

4 0
3 years ago
A 16 oz box of cereal costs $2.56. How much would a 40 oz box cost?
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Answer:

$6.40

Step-by-step explanation:

2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640

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[20 POINTS] Find the area of the rectangle
zvonat [6]
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3 years ago
Prove that the sum of three consecutive integers is divisible by 3
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Answer:

n+n+1+n+2=3n+3=3(n+1)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The function C(h)=(2h^2+5h)/(h^3+8) models the concentration of medication in the bloodstream (as a percent) h hours after its i
salantis [7]

Answer:

  1. h ≥ 0
  2. C = 0; concentration eventually decays to nothing
  3. (0, 0) is the only intercept in the domain. It means the concentration in the bloodstream is zero at the time the drug is injected.
  4. 1.95 hours

Step-by-step explanation:

1. a. The domain of the function in the context of this problem is h ≥ 0. The maximum value of h will correspond to the time at which the concentration is considered to be negligible. If that time is when the concentration decays to 1% of its peak value, then perhaps the suitable domain is 0 ≤ h ≤ 180.

b. The equation of the vertical asymptote of this function is where the denominator of C(h) is zero, that is ...

  h^3 +8 = 0

  h = ∛(-8)

  h = -2 . . . . the equation of the vertical asymptote

This is not a concern for a medical professional because it is outside the domain of the function.

__

2. As h gets large the value of the function approaches 2/h, which is to say the horizontal asymptote is C = 0. It means the concentration of medication in the blood eventually decays to zero.

__

3. C(0) = 0 is the only intercept in the domain of the function. (h, C(h)) = (0, 0)

In the context of this problem, it means the blood concentration of medication is zero at the time of the injection.

__

4. About 1.95 hours after injection, a maximum concentration of the drug occur in the bloodstream. This value is easily found using a graphing calculator.

Taking the derivative of the function gives you ...

  C'(h) = -2(h^4 +5h^3 -16h -20)/(h^3 +8)^2

This has two real zeros and two complex zeros. The positive real zero is near h = 1.94527, about 1.95.

That is, the concentration in the bloodstream reaches a maximum about 1.95 hours after injection into the muscle.

5 0
3 years ago
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