Given that g(x) = x2 – 3x - 6, find (gºg)(-2)(gºg)(-2)=

1) Two different functions that could represent Davis' gross wages, where h is the number of hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and d(h) is his gross wages from walking dogs are:

Function A: a(h) = 16.25h - 7.50

Function B: d(h) = 12.50h

2) If Davis works 1 hour, his gross pay at each job is:

    1 Hour      6 Hours

a) $16.25      $97.50

b) $12.50      $75

3) To find Davis' net pay after tax, the modified functions in question 1 are as follows:

Function A: a(h) = (16.25h - 7.50)(1 - 0.105)

Function B: d(h) = 12.50h(1 - 0.18)

4) The domain and range for each of these new functions are:

                          Domain                     Range

a) Function A    [1, 2, ... 7]           [7.83, 15.66, ... 54.81]

b) Function B    [1, 2, ... 12]         [10.25, 20.5, ... 123]

The domain refers to all the possible values of the independent (input) variables.

The range refers to the possible values of the dependent (output) values.

                                            Arena       Dog Walking

Pay rate per hour              $16.25           $12.50

Travel expense                  $7.50            $0

Maximum hours worked    7 hours          10 hours

Gross pay for one hour     $16.25        $12.50

Gross pay for 6 hours       $97.50         $75

After

Tax                                      10.5%           18%

After-tax factor                (1 - 0.105)       (1 - 0.18)

Learn more about the domain, range, and functions at https://brainly.com/question/10197594

#SPJ1

Answer:

1.25 is largest, 1.1 is second, 0.924 third, 0.61 fourth, 0.5 fifth, 0.12 sixth.

Step-by-step explanation:

I will edit this post and explain later because you said you need the answer fast. :)

Answer:

2000

Step-by-step explanation:

Formula = Number x 100/Percent = 600 x 100/3 = 2,000

Following shows the steps on how to derive this formula and find out 3% of what number is 60.

Step 1: If 3% of a number is 60, then what is 100% of that number? Setup the equation.

60/3% = Y/100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

3Y = 60 x 100

3Y = 6000

Y = 6000/100= 2000

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

for such more question on series

https://brainly.com/question/29062598

#SPJ8

Answer:

they both can be 25 but there are many outcomes to get that answer

Step-by-step explanation:

can i get brainiest please?

Could be 25, could be 15, depends on what x is.

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

\(\\ \sf\longmapsto c=1.29r\)

\(\\ \sf\longmapsto 1=1.29r\)

\(\\ \sf\longmapsto r=\dfrac{1}{1.29}\)

\(\\ \sf\longmapsto r=0.7\)

Cost of 1 roll

\(\\ \sf\longmapsto \dfrac{1}{0.7}\)

\(\\ \sf\longmapsto \dfrac{10}{7}\)

\(\\ \sf\longmapsto 1.4\$\)

Answer:

1.14285714286 ounces per person

Step-by-step explaination:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate

following this rule, 8 divided by 7 is 1.14285714286

Your assignment will probably ask you to simplify

Answer: either 0.45 or 45

Step-by-step explanation:

The average cost function for the given total cost function is AC(x) = 2,100/x + 4 - 0.0003x.

To find the average cost function C, we need to divide the total cost function C(x) by the quantity of output produced, which is represented by x.
The formula for average cost (AC) is:
AC(x) = C(x) / x
Plugging in the given values, we have:
AC(x) = (2,100 + 4x - 0.0003x2) / x
Simplifying this expression, we get:
AC(x) = 2,100/x + 4 - 0.0003x
Therefore, the average cost function C(x) is:
C(x) = 2,100/x + 4x - 0.0003x2
This function represents the average cost per unit of output, taking into account fixed costs (2,100) and variable costs (4x - 0.0003x) that increase as output increases.
It's important to note that the cost function C(x) is quadratic, which means that the average cost function C(x) will have a U-shaped curve.

This is because initially, as output increases, fixed costs are spread out over a larger quantity of output, leading to a decrease in average cost.

However, at a certain point, the increasing variable costs will outweigh the decreasing fixed costs, causing average cost to increase again.
Overall, knowing the average cost function can be useful for businesses to make decisions about pricing, production levels, and cost management strategies.

For more related questions on average cost:

#SPJ11

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

Learn more about cubes in: https://brainly.com/question/30962206

#SPJ1

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

The scale factor of the dilation is,

⇒ 1 / 3

We have to given that,

The triangle D'E'F' is a dilation of the triangle DEF.

Here, By figure we have,

E'F' = |1 - (- 2)|

E'F' = 3

And,

EF = |3 - (- 6)|

EF = 9

Now, We can formulate;

The value of scale factor is,

= E'F' / EF

= 3 / 9

= 1 / 3

Therefore, The scale factor of the dilation is,

⇒ 1 / 3

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

Learn more about Future Value here:

https://brainly.com/question/14860893

#SPJ1

Answer:

The answer is "\(\frac{9}{2}\)"

Step-by-step explanation:

If the given points are:

\(\to x^2 =8y\\\\\to -x+4y-4 =0\\\\\)

please find the graph image in the attachment.

The intersection points are: \((-2,0.5) \ \ and \ \ (4,2)\\\)

The formula for area:

\(Area= \int ( \text{upper curve - lower corve})\\\\\)

        \(= \int^4_{-2} [\frac{x+4}{4} - \frac{x^2}{8}] \ \ dx \\\\= \int^4_{-2} \frac{x+4}{4} \ dx - \int^4_{-2} \frac{x^2}{8} \ dx \\\\ = \frac{1}{4} \int^4_{-2} (x+4) \ dx- \frac{1}{8} \int^4_{-2} x^2 \ dx\\\\ = \frac{1}{4} (\frac {x^2}{2}+4x)^{4}_{-2}- \frac{1}{8} (\frac{x^3}{3})^{4}_{-2} \ dx\\\\ = \frac{1}{4} [(\frac {x^2}{2}+4x)^{4}_{-2}- \frac{1}{2} (\frac{x^3}{3})^{4}_{-2}] \ dx\\\\ = \frac{1}{4} [(\frac {x^2}{2}+4x- \frac{x^3}{6})^{4}_{-2}] \ dx\\\\= \frac{9}{2}\\\)

Answer:

7543/100

152/100

hope this helps!

Answer:

16

Step-by-step explanation:

plug in the numeric values.

-6 + 22

16

Answer:

{x,y}={14,8}

Step-by-step explanation:

Answer:

115-2*180

= 245

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

there are 2 triangles so the angles in all add up to 360. (108*2) then you subtract all the known angles.

Answer:

$14.20

Step-by-step explanation:

There's 3 people because there's you and the 2 other sandwich-makers.

Divide 42.6 by 3

42.6/3=14.2

The solution to this integral \(\int\limits^{\infty} _{-\infty} e^{-x^{2} } \, dx =\sqrt{\pi}\) is equal to √π.

In Mathematics, the Gaussian integral is sometimes referred to as the probability integral, and it highly related to the erf function, which represents the integral of the one-dimensional Gaussian function over the interval [-∞, ∞].

Generally speaking, the given integral can be computed by using the advanced techniques of combining two one-dimensional Gaussians and converting into polar coordinates;

\(I^2 =\int\int e^{(-(x^2 +y^2))}dxdy\\\\I^2 =\int\int e^{-r^2}rdr d\theta\)

In this context, we would use these integration limits [0, ∞) with respect to "r" and [0, 2π] with respect to "θ" as follows:

\(I^2 =\int\limits^{2 \pi}_{0} \int \limits^{\infty}_{0} e^{-r^2}rdr d\theta\\\\I^2 =\int\limits^{2 \pi}_{0} \int \limits^{\infty}_{0}\frac{1}{2} e^{-u}du d\theta\\\\I^2 =\int\limits^{2 \pi}_{0} [\frac{1}{2} e^{-u}]\limits^{\infty}_{0}d\theta\\\\I^2 =\int\limits^{2 \pi}_{0} (\frac{1}{2} )d\theta\\\\I^2=\frac{1}{2}[\theta]\limits^{2 \pi}_{0}\\\\I^2=\frac{1}{2}(2 \pi)-\frac{1}{2}(0)\\\\I^2=\frac{2 \pi}{2}\)

I² = π

I = √π

Read more on Gaussian integration and polar coordinates here: https://brainly.com/question/33328604

#SPJ1

Answer:

because 4 is a fixed value. and it is not a variable.

Answer:

20 cubic feet.

From feet: length (ft) × width (ft) × height (ft) = cubic feet.

From inches: length (in) × width (in) × height (in) ÷ 1728 = cubic feet.

From yards: length (yd) × width (yd) × height (yd) × 27 = cubic feet.

If you need to convert to cubic feet from inches: divide the final number (i.e. the total you get after multiplying the three dimensions together

Answer: 18.55

Step-by-step explanation:

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

Learn more about distance here:

https://brainly.com/question/30694816

#SPJ1

Answer:

The slope would be 3.

Step-by-step explanation:

The formula for finding slope is \(\frac{y1-y2}{x1-x2}\)
We can plug these numbers into the equation by doing \(\frac{1--5}{2-0}\)
1--5 is equal to 1+5, which is 6.
2-0 is equal to 2.
\(\frac{6}{2}\) is 3, which is how you get your answer.
I hope this helps! :)