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3 years ago

Write the slope-intercept form of the equation for the line.

Mathematics

2 answers:

mixas84 [53]3 years ago

6 0

Answer:

The right answer is the last one (d)

$y = \frac{5}{8} x + \frac{1}{2}$

bija089 [108]3 years ago

5 0

Answer:

The correct answer would be y=5/8x + 1/2

Step-by-step explanation:

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Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

Mazyrski [523]

We can use the fact that, for $|x|$ ,

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

Notice that

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}$

so that

$f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]$

$f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=0}^\infty(n+1)x^n$

By the ratio test, this series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)x^{n+1}}{(n+1)x^n}\right|=|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|$

so the series has radius of convergence $R=1$ .

5 0

3 years ago

Let sin A= -3/5 with 270°< A< 360°. Find the following.<br> sin A/2

GREYUIT [131]

Answer:

1/sqrt10

Step-by-step explanation:

1) Find out cosA using formula (cosA)^2+(sinA)^2=1

The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5

So cosA=-4/5 or cosA=4/5.

Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.

2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.

(sinA/2)^2= 0.1

sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10

But 270°< A< 360°, then 270/2°<A/2<360/2°

135°<A/2<180°, so sinA/2 must be positive and the only correct answer is

sin A/2= 1/sqrt10

6 0

3 years ago

What is the solution to the quadratic equation 8m^2+7m-15=-7 ?

Aleks04 [339]

Make equal to zero
add7 both sides
8m^2+7m-8=0
quadratic fomrula

if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

8m^2+7m-8=0
a=8
b=7
c=-8

x= $\frac{-7+/- \sqrt{7^{2}-4(8)(-8)} }{2(8)}$
x= $\frac{-7+/- \sqrt{49+256} }{16}$
x= $\frac{-7+/- \sqrt{305} }{16}$

x= $\frac{-7+ \sqrt{305} }{16}$ or x= $\frac{-7- \sqrt{305} }{16}$

aprox
x=-1.52902 or 0.654016

4 0

3 years ago

1. x + y = -8<br> convert the following from standard form to slope-intercept form

Monica [59]

Answer:

y = -x - 8

Step-by-step explanation:

Slope intercept form is y = mx + b, so subtract x from both sides to convert the equation to slope-intercept form.

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3 years ago

A bag of Takis, T, cost $1.25 per bag and a bag of sunChips, s, cost $2.00 per bag. you have at most $10 to spend on snacks. wri

Mariulka [41]

1.35t+2s < or = $10 is your inequality

8 0

3 years ago