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3 years ago

HELP ME WITH NUMBER 1 PLEASE!!!!!

Mathematics

1 answer:

Sonja [21]3 years ago

8 0

Answer:

x > 367

Step-by-step explanation:

set x = # of DVDs they sold

Each DVD costs $15 so the total amount they made is 15x

Since they raised more than $5500

15x > 5500

Divide both sides by 15 to solve the inequality and you get

x > 366.67 and since you can't sell 0.67 of a DVD, round up to get

x > 367 which means that they sold more than 367 DVDs

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I need help with this question please I need help!!!

ycow [4]

Answer:

Step-by-step explanation:

8 0

3 years ago

How do you determine the area under a curve in calculus using integrals or the limit definition of integrals?

RSB [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Let us consider

$y = f(x)$

To find the area under the curve $y = f(x)$ between $x = a$ and $x = b$ , all we need is to integrate $y = f(x)$ between the limits of $a$ and $b$ .

For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:

$A=\int _a^b|f\left(x\right)|dx$

= $\int _{-2}^2\left|x^2-4\right|dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx$

$=\int _{-2}^2x^2dx-\int _{-2}^24dx$

solving

$\int _{-2}^2x^2dx$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1$

$=\left[\frac{x^{2+1}}{2+1}\right]^2_{-2}$

$=\left[\frac{x^3}{3}\right]^2_{-2}$

computing the boundaries

$=\frac{16}{3}$

Thus,

$\int _{-2}^2x^2dx=\frac{16}{3}$

similarly solving

$\int _{-2}^24dx$

$\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax$

$=\left[4x\right]^2_{-2}$

computing the boundaries

$=16$

Thus,

$\int _{-2}^24dx=16$

Therefore, the expression becomes

$A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx$

$=\frac{16}{3}-16$

$=-\frac{32}{3}$

$=-10.67$ square units

Thus, the area under a curve is -10.67 square units

The area is negative because it is below the x-axis. Please check the attached figure.

6 0

3 years ago

Which is the domain of the function shown in the mapping

erastova [34]

The domain is the x-values of a function, which are also known as the input. When writing down the domain, you write the numbers from least to greatest. Therefore, the correct answer is A.

6 0

4 years ago

5.4 times 10 to the second power

Nuetrik [128]

This would equal 54 because 5.4x10^2 is 54

3 0

3 years ago

Read 2 more answers

Angles A and B are supplementary angles. The mZA = (9x - 12) and the mZB = (24x + 60).

Kruka [31]

Answer:

/ A = 24°

/ B = 156°

Step-by-step explanation:

Supplementary angles add up to 180°.

_________________________________

Therefore, / A + / B = 180

(9x - 12) + (24x + 60) = 180

9x - 12 + 24x + 60 = 180

33x + 48 = 180

33x = 180 - 48

33x = 132

x = 132/33

x = 12/3

x = 4

_________________________________

/ A = (9x - 12)

= (9(4) - 12)

= (36 - 12)

= 24°

/ B = (24x + 60)

= (24(4) + 60)

= (96 + 60)

= 156°

_________________________________

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4 0

3 years ago