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Solnce55 [7]
4 years ago
11

Pauline spent $7.50 every day for 3 days. Which expression is the best choice to help her determine the total amount of money sh

e spent?
Mathematics
1 answer:
iragen [17]4 years ago
7 0
A good expression for this is 7.50 x 3 = X
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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx-5%7D%7B2x%5E%7B2%7D-5x-3%20%7D" id="TexFormula1" title="f(x) = \f
Vedmedyk [2.9K]

i) The given function is

f(x)=\frac{x-5}{2x^2-5x-3}

The factored form is

f(x)=\frac{x-5}{(x-3)(2x+1)}

The domain are the values of  x for which the function is defined.

(x-3)(2x+1)\ne 0

(x-3)\ne0,(2x+1)\ne 0

x\ne3,x\ne-\frac{1}{2}

ii) To find the vertical asymptotes, equate the denominator to zero.

(x-3)(2x+1)=0

(x-3)=\ne0,(2x+1)=0

x=3,x=-\frac{1}{2}

iii) To find the roots, equate the numerator to zero.

x-5=0

The root is x=5

iv) To find the y-intercept, put x=0 into the function.

f(0)=\frac{0-5}{(0-3)(2(0)+1)}

f(0)=\frac{-5}{(-3)(1)}

f(0)=\frac{5}{3}

The y-intercept is \frac{5}{3}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{x-5}{2x^2-5x-3}=0

The horizontal asymptote is y=0

vi) The function is not reducible. There are no holes.

vii) The given function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

3 0
3 years ago
Read 2 more answers
Find the median and mean for each data set.
Elodia [21]

Answer:read below

Step-by-step explanation:

For the median Put them in order from smallest to biggest and then see what number is in the middle for the an dfor the mean do them same thing but add them all together and then dived by the total number of numbers you have i hope this helps

5 0
3 years ago
Write the coefficient of x².​
Rasek [7]

A coefficient is a numerical value that is multiplied with a variable.

  • Coefficient of x² is -3
3 0
3 years ago
E=mc^2 m = 3 c = 6 Solve for E please show work so i know how to do this
Ann [662]

Answer:

108

Step-by-step explanation:

ok so m is 3 and c is 6 mc^2 is m x c^2 so 3 x 6^2. 6^ is 36 making it 3 x 36 making 108. so 3x6^2=108

5 0
3 years ago
-8=-9 + √2x - 1 <br>find a h and k​
gavmur [86]

Answer:

x=2?

Step-by-step explanation:

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2 years ago
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