Suppose that x and y vary inversely, and x = 2 when y = 7. Write the function that models the inverse variation.

Answers

Answer 1

Answer: This answer uses NMF, which you can find in my profile:

y = {k}/{x}
7 = {k}/{2}
14 = k

f(x) = {14}/{x}

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According to the Fundamental Theorem of Algebra, how many roots exist for polynomial function?the 1 root3 rootsO 4 roots9 roots

Answers

Based on the equation given, there are 3 roots. If you multiply the factors, the exponential power of x will be three (3). Thus, there are three roots for the polynomial function. The answer to your question is three.

Answer:

B) 3 roots

Step-by-step explanation:

Edge 2022

What are the solution(s) to the quadratic equation x2 – 25 = 0?x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution

Answers

For this case we have the following polynomial:

We can solve the polynomial by factoring.

We have then:

From here, we clear the solutions of the equation.

Solution 1:

Solution 2:

Answer:

the solutions to the quadratic equation x ^ 2 - 25 = 0 are:

x = 5 and x = -5

If you would like to find the solutions to the quadratic equation x^2 - 25 = 0, you can do this using the following steps:

x^2 - 25 = 0
(x + 5) * (x - 5) = 0
x^2 - 5x + 5x - 25 = 0
1. x = - 5
2. x = 5

The correct result would be x = 5 and x = –5.

What is the ordered pair solution for;
x + 2y = 5

3x - y = 1

Answers

$\left\{\begin{array}{ccc}x+2y=5\n3x-y=1&/\cdot2\end{array}\right\n+\left\{\begin{array}{ccc}x+2y=5\n6x-2y=2\end{array}\right\n-----------\n. \ \ \ \ \ \ \ 7x=7\ \ \ \ /:7\n.\ \ \ \ \ \ \ x=1\n\n\left\{\begin{array}{ccc}x=1\n3x-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n3\cdot1-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n3-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n-y=1-3\end{array}\n\left\{\begin{array}{ccc}x=1\n-y=-2\end{array}\right\n\right$
$\left\{\begin{array}{ccc}x=1\ny=2\end{array}\right\n$

3. What is the algebraic expression for the following word phrase: the quotient of x and 2y?

Answers

Answer:

x/2y

Step-by-step explanation:

quotient-division

140% of what number is 14?

Answers

140% of 19.6 is 14 and you are very welcome

140% of what number is 14
140% × number = 14
(140% = $(140)/(100)$ = 1.4)
1.4 × n = 14
Divide by 1.4 to isolate n
$(1.4n)/(1.4)$ = $(14)/(1.4)$
1.4 and 1.4 cancels out
n = 10

140% of 10 is 14

Check:
$(140)/(100)$ × 10 = 14
1.4 × 10 = 14
14 = 14

An element with mass 1000 grams decays by 14.8% per minute. How much of the element is remaining after 11 minutes, to the nearest 10th of a gram?

Answers

$100\%-14.8\%=85.2\%=0.852\n\n1000g\ *\ 0.852^(11)\approx171.7g\leftarrow answer$

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