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3 years ago

What is the answer to the equation (4x+2)3

Mathematics

2 answers:

telo118 [61]3 years ago

6 0

Answer:

12x+6

Step-by-step explanation:

Gnom [1K]3 years ago

3 0

12x+6 would be the answer

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Allison has three containers with 25 crayons in each. She also has four boxes of markers with 12 markers in each box. She gets 1

Advocard [28]

25x3=75
4x12=48
48-10=38

75 crayons and 38 markers

3 0

4 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

Its the same solve the system using substitution write your final answer as a coordinate point

AleksandrR [38]

Answer:

2173636272772737372

3 0

3 years ago

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use the properties of equality to show that the equation 6x + 3 = 27 is equivalent to the equation 2x = 8.

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

The equation 6x + 3 = 27 is equivalent to 2x = 8 because you can divide 8 by 2x to get X=4. To solve 6x + 3 = 27, you can subtract 3 to both sides of the equal sign to end up with 6x = 24, and from there you can divide 24 by 6x and also end up with X = 4. Both equations have the same answer.

5 0

3 years ago

Find a two-digit number which is both a<br>souore number and a cubic number.

exis [7]

Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Cubes: 1, 8, 27, 64, 125

Answer : 64

8 0

3 years ago

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