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3 years ago

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Jessica is paid $8.50 an hour and also earns a 15% commission on any sales she makes. In one week, if she worked 30 hours and ha

d $2,000 in sales, what was her pay?

1 answer:

ANEK [815]3 years ago

6 0

Add them up and you get your answer<span />

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Calculate the Difference Quotient for f(x)=2x^2-3

Dafna11 [192]

Answer:

Calculate the Difference Quotient for f(x)=2x^2-3

Find f(x+h) and f(x), and plug these values into the difference quotient formula.

<h2><em><u>4x+2h</u></em></h2>

7 0

3 years ago

An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor

butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose <em>w</em> to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse = 13.

The Pythagorean Theorem says $(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$ so

$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

Now solve using the Quadratic Formula with $a=5,\,b=9,\,c=-80$ .

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

5 0

3 years ago

( simultaneous equations)

daser333 [38]

Answer:

See method below.

Step-by-step explanation:

m/n + n/3 = 2

2/m + n = 4

First eliminate the fractions by multiplying the first equation by 3n:-

3m + n^2 = 6n...........(1)

and the second equation by m:-

2 + mn = 4m..............(2)

Now we solve using substitution:-

From equation (2):-

4m - mn = 2

m = 2 / (4 - n)

Now substitute for m in equation (1):-

6/ (4 - n) + n^2 = 6n

6 + n^2(4 - n) = 6n(4 - n)

6 + 4n^2 - n^3 = 24n - 6n^2

n^3 - 10n^2 + 24n - 6 = 0

This will not factor so we could solve this using graphical software.

To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.

6 0

3 years ago

Simplify the expressions<br> (a^2b^-3/a^-2b^2)^2

poizon [28]

Answer:

$(\frac{a^{2}b^{-3} }{a^{-2}b^{2} })^{2} = (a^{2-(-2) }b^{-3 - 2})^{2} \\ = (a^{4}b^{-5} )^{2} = (a^{4})^{2} (b^{-5})^{2} = a^{8} b^{-10}$

Here is for you.

Step-by-step explanation:

6 0

3 years ago

Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the numbe

shepuryov [24]

Okay so the correct one would be, the 2 one, 44+y= x because X is representing how many cups she can serve.

8 0

3 years ago

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