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Sever21 [200]
3 years ago
10

Which of the following are solutions to the equation below? (4x-1)^2=11

Mathematics
1 answer:
poizon [28]3 years ago
4 0
You have to use the quadratic formula to solve this. when you do, you get x values of 1.079 and -.5791.  You did not provide choices but that's what it comes out to.
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Total brain fart! 24+5x=-x+6(5a-4)
kow [346]

Answer:

When solving for x, answer = \large\boxed{x = 5a - 8}

When solving for a, answer = \large\boxed{a = 1/5x + 8/5}

Step-by-step explanation:

24 + 5x = -x + 6(5a - 4)

Start by multiplying 6 by the values in the parenthesis

24 + 5x = -x + 30a - 24

Add 24 to both sides of the equation

48 + 5x = -x + 30a

Add 1x to both sides of the equation

48 + 6x = 30a

Subtract 48 from both sides of the equation

6x = 30a - 48

Divide both sides of the equation by 6

x = 5a - 8 (Answer when solving for x)

Add 8 to both sides of the equation

x + 8 = 5a

Divide both sides of the equation by 5

a = 1/5x + 8/5 (Answer when solving for a)

-----------------------------------------

When solving for x, answer = \large\boxed{x = 5a - 8}

When solving for a, answer = \large\boxed{a = 1/5x + 8/5}

Hope this helps :)

3 0
3 years ago
Evaluate the given expression if a​ = 2 and ​b​ = -4 <br> a2-b3
IceJOKER [234]

Answer:

31

Step-by-step explanation:

{a}^{2}  -  {b}^{3}  \\  \\  =  {(2)}^{2}  -  {( - 3)}^{3}  \\  \\  = 4 - ( - 27) \\  \\  = 4 + 27 \\  \\  = 31

5 0
3 years ago
The following graph shows a proportional relationship.
Nina [5.8K]

Answer:

1.5

Step-by-step explanation:

k=\frac{y}{x}\\\\k=\frac{6}{4}\\\\k=1.5

8 0
3 years ago
A cup of coffee at 85 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 5 de
bezimeni [28]

Answer: k = - 6.6667

Step-by-step explanation:

this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.

let us begin.

Given that ;

dT/dt = k ( Tm - T)       where Tm is the temp of the medium

dT/dt = 5 degrees Celsius per minute    when T = 70

so we have that, 5 = k ( 25 - 70)

remember to convert 5 degree celsius per minute to seconds

we have that;

5*60(sec) = k ( 25 - 70)  

k = 5*60 / ( 25 - 70)

k = - 6.6667

note K is negative because we consider it for cooling process  (temp decreasing).

cheers i hope this helps!!!

3 0
3 years ago
The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w
aleksklad [387]

Answer:

99.8%  is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( bags contain between 62 and 86 potato chips)

P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%

P(62 \leq x \leq 86) = 99.8\%

7 0
3 years ago
Read 2 more answers
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