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Sphinxa [80]
2 years ago
9

HELP please!! ive tried doing this problem forever

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0
PROBLEM 9:
0.25
PROBLEM 8:
3/14
PROBLEM 7:
1 1/12 or 13/12
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Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation
jarptica [38.1K]

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

So we have the formula

y=\frac{k}{x}

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}

Hence the answer is option C

7 0
1 year ago
Cassandra has a rectangular patio in her backyard. the pation is 12.74 meters long and 5.45 meters wide. round the nearest tenth
Tom [10]

9514 1404 393

Answer:

  36.4 m

Step-by-step explanation:

Rounded to tenths, the dimensions are ...

  12.7 m by 5.5 m

The sum of these is 18.2 m, so the estimate of the perimeter is ...

  2·18.2 = 36.4 m

_____

The perimeter formula is ...

  P = 2(L +W) . . . . . twice the sum of length and width.

5 0
2 years ago
Which equation represents the data shown in the table below
Debora [2.8K]
It is obviously C.  most obviously
8 0
2 years ago
Read 2 more answers
Find the term indicated in the expansion. (x - 3y)11; 8th term
Alja [10]
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11,  k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
 =( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1  )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
 
8 0
3 years ago
Read 2 more answers
32) (a)-(c) pre calculus
Harrizon [31]
Well, remember we can't take the square root of a negative

so we see that we have \sqrt{1-x^2}
so find those values that take sqrt of a negative and restrict hem from the domain
anny value greater than 1 and less than -1
so domain is from -1 to 1, including those numbers
D=[-1,1]

a. D=[-1,1] or from -1 to 1 is domain


b. for a TI-84, go to y-editor then input 4x \sqrt{1-x^2} for y1

c. for a TI-84, click 2nd then window (gets to tbset) scrol down to set Δx to 0.1, then cilick 2nd again then click graph (to select table) and scroll down till you see that value of y that is the biggest, that value is x=0.7



A. domain is from -1 to 1
B. use your brain or google the instructions for your calulator
C. at x=0.7


8 0
3 years ago
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