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Klio2033 [76]
3 years ago
7

Start with x2 - 6x + 8 = 0 and complete the square, what is the equivalent equation?

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0
X is equivalent to 5.0
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Find the slope of the line that passes through the following points
Lilit [14]
A and B: m = 3/4

C and D:  m = 1/2

E and F: m = 1/6
5 0
3 years ago
1 point) According to one mathematical model, the average life expenctancy for American men born in 1900 was 55 years. Life expe
xxMikexx [17]

  a)

Let t represents number of years after 1900

so that means for 1900, value of t is 0

We are given point as (0,55)

and it says that life expectancy increases by 0.2

so that means slope,m=0.2

equation of line is y=mt +b

or y=0.2t +b

now we use point (0,55)

55 =0.2(0) +b

55 =0+b

55= b

so b=55

plug it back into the equation,we get

y=0.2t +55

b)

We are given y=73

so we plug it into the equation we got in part a and solve for t

y=0.2t +55

73 =0.2t +55

73-55 =0.2t

18 =0.2t

18/0.2 =t

90 =t

so t=90

This means the birth year =1900+t =1900+90 =1990


5 0
3 years ago
somebody read 50 pages of a book in 50 minutes she reads at a constant rate how many pages did she read per minute
miv72 [106K]
If she reads 50 pages of a book in 50 minutes, just divide 50 by 50.

50 / 50 = 1    She reads one page of a book a minute.
4 0
3 years ago
Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
Kazeer [188]

Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
3 years ago
5(m+2)-m=2m+3<br><br>Please I need help
Blababa [14]

Answer:

m=-7/2

Step-by-step explanation:

 (5 • (m + 2) -  m) -  (2m + 3)  = 0

 2m + 7  = 0

3.1      Solve  :    2m+7 = 0

Subtract  7  from both sides of the equation :

                     2m = -7

Divide both sides of the equation by 2:

                    m = -7/2 = -3.500

8 0
2 years ago
Read 2 more answers
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