Answer:
Let u = √x which gives u2= x and rewrite the given equation in terms of u
u = 3 - u 2 / 4
Multiply all terms by 4, simplify and write the above quadratic in standard form and solve it for u.
u 2 + 4 u - 12 = 0
Two solutions: u = - 6 and u = 2
Use the substitution used above u = √x to solve for x.
u = - 6 = √x has no solution
u = 2 = √x has solution x = 4
Below is shown the graph of the right side of the given equation when written with its right side equal to zero. The x intercept of the graph is the graphical solution to the equation as shown below.
Step-by-step explanation:
Answer: x = 4
Step-by-step explanation:
Given:
√x = 3 - (1 / 4)x
Rewrite:
[tex]\displaystyle \sqrt{x} = 3 - \frac{1}{4}x[/tex]
Square both sides:
[tex]\displaystyle (\sqrt{x} )^{2} = (3 - \frac{1}{4} x)^{2}[/tex]
[tex]\displaystyle x= \frac{1}{16}x^{2} -\frac{3}{2} +9[/tex]
Set the equation equal to 0:
[tex]\displaystyle \frac{-1}{16}x^{2} +\frac{5}{2} -9=0[/tex]
Use the quadratic formula:
[tex]\displaystyle x=\frac{-b\sqrt{b^{2} -4ac} }{2a}[/tex]
[tex]\displaystyle x=\frac{-(\frac{5}{2})\sqrt{(\frac{5}{2})^{2} -4(\frac{-1}{16} )(-9)} }{2(\frac{-1}{16} )}[/tex]
x = 4, 36
Plugging back into equation shows us only one answer works,
x = 4
Whoever gets it right can have brainliest, but answer ASAP!
Answer:
3
Step-by-step explanation:
5*5=25 + 3-1=2 25+2=27
18/9=2
27/9 27/3=9 9/3=3
9/3 9/3=3 3/3=1
3/1=3
Anyone know of a calculator that can do everything?
Answer: The Casio FX-9750GII Graphic Calculator features all the basic functionality of an entry-level graphing calculator, making it great for math coursework from Pre-Algebra to AP Calculus and Statistics and courses in between (like Geometry and Trigonometry).
Step-by-step explanation: pls friend can i get branliest and thanks
garret wants to find out which restaurant people think serves the best brisket in town. what is the population from which garret should find a sample? what might be a sample that is not representative of the population?
Answer:
He should find the sample from people who eat brisket from multiple different resturaunts. A sample that would not be representative could be a vegetarian.
Step-by-step explanation:
If they eat brisket they'll know what the best brisket is.
A vegetarian deoesn't eat meat so wouldn't know.
Please find the rest of the answers, 1 was already done for you. IMAGE ATTACHED
Answer:
D
Step-by-step explanation:
I think if wrong im sorrrry
Answer:
the answer i got is d
Step-by-step explanation:
Help me please and thank you
Answer:
Range = 7
Mean = 7.75
Assumption: Most students will have 7 or 10 letters in their last name
Step-by-step explanation:
Range = Largest - Smallest
= 10 - 3
= 7
Mean = Add the total numbers up to get a total / numbers in the series
= (3+5+2(6)+2(9)+5(7)+4(8)+5(10)) / (1+1+2+5+4+2+5)
= 7.75