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svlad2 [7]
3 years ago
10

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer:

-2,  (-5 is extraneous)

Step-by-step explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5

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6.<br> A. y=-13x1<br> or B. y = 1-3xl
IrinaVladis [17]

Answer: B

Step-by-step explanation

6 0
3 years ago
Many did she start with ?<br>3x =28​
Andreas93 [3]

Step-by-step explanation:

Your question doesn't make sense but x in this case equals 9 1/3

5 0
3 years ago
4. What function represents how much more water can be added to the bucket before it
Elza [17]

The function that represents how much more water can be added to the bucket before it overflows is given as follows:

c(x) = 6x³ + 3x² - 2x - 2.

<h3>How to define the function?</h3>

The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.

The functions in this problem are defined as follows:

  • f(x) = 8x³ + 4x² - 6x + 5.
  • g(x) = 2x³ + x² - 4x + 7.

Then the capacity function is obtained as follows:

c(x) = f(x) - g(x)

c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)

Then the distributive property is applied to the negative sign as follows:

c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.

Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:

c(x) = 6x³ + 3x² - 2x - 2.

More can be learned about operations with functions at brainly.com/question/2723982

#SPJ1

5 0
1 year ago
Help, 3+7x=12, what is x?
liraira [26]
So just your normal equation. 
We need to isolate x alone. 
First lets write out our equation 
3 +7x = 12 

Lets do this step by step. 

first subtract 3 from both sides. 
3 + 7x = 12  
-3        = -3  it cancels out on the left side and we solve on the right side. 
*************
7x = 9 

second we divide both sides by 7 
7x = 9 
÷7 = 7      we got the x alone and we just write 9/7 as our answer. 

x = 9/7 

Or as a decimal. 
9/7 could be <span>1.28571428571429
</span>
Either will work. 
x = 9/7 
or 
x = <span>1.28571428571429
</span>
Have a nice day. :)



3 0
4 years ago
A train is traveling at 24 miles per hour when the engineer throws a small package out of the cab window at a speed of 60 feet p
arsen [322]
To solve the speed you need to do distance divided by time. So 24 divided by 60 is 0.4m/s (this might be wrong)
8 0
3 years ago
Read 2 more answers
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