Answer:
Step-by-step explanation:
x=±\dfrac{2}{\sqrt{3}}
Step-by-step explanation:
We want to solve the equation
\dfrac{3x}{4}=\dfrac{1}{x}
We first have to assume that x\neq 0 since the value \dfrac{1}{x} is not defined for x\neq 0.
Now, since x divides the right hand side of the equation, we multiply the two sides of this equation by x to get that
x(\frac{3}{4}x)=x(\dfrac{1}{x})\quad\Rightarrow\quad \dfrac{3}{4}x^2=1
Hence, by dividing the equation by \dfrac{4}{3} it follows that
x^2=\dfrac{4}{3}
and so
x=\pm\dfrac{2}{\sqrt{3}}
Answer:
The Statements have been categorized and explanation given.
Step-by-step explanation:
The following statements are true
is a fifth degree polynomial.
- The degree of a polynomial is the highest power in the polynomial, therefore, is a fifth degree polynomial.
contains three terms.
- This is true. The terms are:
is equivalent to
- The second polynomial is a basic rearrangement of the first polynomial, therefore the statement is true.
has a leading term of
- The leading term is the term containing the highest power. The highest power is 5 and the term containing it is
<u>FALSE</u>
has a leading term of 5.
The leading term of this polynomial is
The number of dogs at the shelter is 13.
<h3>What is a system of equations?</h3>
A system having more than two equations is known as a system of equations.
Given that, the shelter spends $3 per day to care for each cat and $7 per day to care for each dog.
Let the number of cats be x and the number of dogs is y.
Given that, x + y = 24.
x = 24 - y (1)
The total cost of caring for x dogs and y cats is:
3x + 7y = 124
Substitute x = 24- y into the above equation:
3(24- y) + 7y = 124
72 -3y + 7y = 124
4y = 52
y = 13
Hence, the number of dogs at the shelter is 13.
Learn more about the system of equations:
brainly.com/question/24065247
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Answer:
Answer attached
Step-by-step explanation:
(x,y) ---> (-x,y) ----> (-x+2,y)
Answer:
28 m
Step-by-step explanation:
full roll length: r
Ryan bought: r/4
He trimmed 2 m: r/4 - 2
Length left: 5
r/4 - 2 = 5
r/4 = 7
r = 28
Answer: 28 m