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3 years ago

14

1. express 2.6 as a mixed number in lowest terms.

1 answer:

Mandarinka [93]3 years ago

5 0

2 3/5

What are the questions for 2&3?

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Integration: How would I get to this answer?

Scrat [10]

Given that $y$ attains a maximum at $x=1$ , it follows that $y'=0$ at that same point. So integrating once gives

$\displaystyle\int\frac{\mathrm d^2y}{\mathrm dx^2}\,\mathrm dx=\int-8x\,\mathrm dx$
$\dfrac{\mathrm dy}{\mathrm dx}=-4x^2+C_1$
$\implies -4(1)^2+C_1=0\implies C_1=4$

and so the first derivative is $y'=-4x^2+4$ .

Integrating again, you get

$\displaystyle\int\frac{\mathrm dy}{\mathrm dx}\,\mathrm dx=\int(-4x^2+4)\,\mathrm dx$
$y=-\dfrac43x^3+4x+C_2$

You know that this curve passes through the point (2, -1), which means when $x=2$ , you have $y=-1$ :

$-1=-\dfrac43(2)^3+4(2)+C_2$
$\implies C_2=\dfrac53$

and so

$y=-\dfrac43x^3+4x+\dfrac53$

7 0

4 years ago

Which expression is equivalent to startfraction m minus 4 over m 4 endfraction divided by (m 2) ?

sertanlavr [38]

Rational functions are written as fractions. The expression equivalent to $\frac{\dfrac{m-4}{m+4} }{m+2}$ is $\frac{m-4}{m^2+6m+8}$

<h3>Rational functions</h3>

Given the rational function expressed as:

$\frac{\dfrac{m-4}{m+4} }{m+2}$

This can be further expressed as:

$\frac{m-4}{(m+4(m+2)}$

Factorize the denominator to have;

$\frac{m-4}{m^2+4m+2m+8}\\ \frac{m-4}{m^2+6m+8}$

Hence the expression equivalent to $\frac{\dfrac{m-4}{m+4} }{m+2}$ is $\frac{m-4}{m^2+6m+8}$

Learn more on rational function here: brainly.com/question/1917026

#SPJ4

4 0

2 years ago

Jim and Carol recorded gas prices at five stations for their own towns in the table below. Gas Prices Name Station 1 Station 2 S

wlad13 [49]

The answer is letter C

6 0

3 years ago

Can somebody help me with this question?

Bas_tet [7]

Answer:

86 yd

Step-by-step explanation:

the area of the shaded region is 2924 yd²

let b the doted side next y :

the area of the total triangle is :

A = (y+b)*68/2 = 2924+ b*68/2

$\frac{(y+b)*68}{2}$ = $\frac{b*68}{2}$ + 2924
$\frac{68*(y+b-b)}{2}$ = 2924
68*y/2 = 2924
68y = 2*2924
y= (2*2924)/68
y= 86 yd

5 0

3 years ago

Name the algebraic property.<br> m2 ABC = m2 DEF<br> and<br> m2 DEF = m2 ABC

Temka [501]

The name is m2=DFE is the angle of the parts of ABC.
I hope I am right

8 0

3 years ago