Divide. Write in simplest form.<br> 3/4 divided by 1/8

Pls help for 27b!!!!!!!

rodikova [14]

Step-by-step explanation:

$\beta$

is a root of the quadratic

$4 {x}^{2} - 10x + 5$

This quadratic isn't factorable so use the quadratic formula

$- b + - \sqrt{ \frac{b {}^{2} - 4ac }{2a} }$

The plus and minus sign after b means we going to have two roots.

The roots are

$\frac{5 + \sqrt{5} }{4}$

and

$\frac{5 - \sqrt{5} }{4}$

We subsitue those values for Beta.

27a.

$\frac{5}{2}$

27b.

25

6 0

2 years ago

Clarissa got a part time job during the first week she earned $439.50. During the second and third week she worked a total of 62

iren2701 [21]

Answer:

$2063.44

Step-by-step explanation:

1st week = $439.50

2nd and 3rd week = 62 hours and each hour = $22.79

Total amount earned in 2nd and 3rd week = 62 * 22.79 = $1412.98

4th week = 48% of what she earned in her first week = 48% of $439.50

4th week = (48 / 100) * 439.50 = $210.96

Total amount she earned = 1st week + 2nd & 3rd week + 4th week

Total amount = $439.50 + $1412.98 + $210.96

Total amount = $2063.44

She earned a total of $2063.44

6 0

3 years ago

1. What is an equation for the line with slope 2/3 and y-intercept 9?

Monica [59]

Question 1:

The generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
$y = \frac{2}3}x + 9
$
Answer:
an equation for the line with slope 2/3 and y-intercept is:
$y = \frac{2}3}x + 9$

Question 2:

The standard equation of the line is given by:
$y-yo = m (x-xo)
$
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
The slope of the line is:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{1-(-3)}{3-1}$
$m = \frac{1+3}{3-1}$
$m = \frac{4}{2}$
$m = 2
$
We choose an ordered pair:
$(xo, yo) = (3, 1)
$
Substituting values:
$y-1 = 2 (x-3)
$
Rewriting:
$y = 2x - 6 + 1

y = 2x - 5$
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
$y = 2x - 5
$

Question 3:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We then have the following equation:
$-4y = 8x
$ Rewriting we have:
$y = \frac{8}{-4}x
$
$y = -2x
$ Therefore, the constate of variation is given by:
$k = -2
$
Answer:
the constant of variation is:
$k = -2$

Question 4:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We must find the constant k, for this we use the following data:
y = 24 when x = 8
Substituting values:
$24 = k8
$ Clearing k we have:
$k = \frac{24}{8} 
$
$k = 3
$
Therefore, the equation is:
$y = 3x
$ Thus, substituting x = 10 we have that the value of y is given by:
$y = 3 (10)

y = 30$ Answer:
the value of y when x = 10 is:
$y = 30$

6 0

3 years ago

Read 2 more answers

What does product rule of exponents say

LuckyWell [14K]

The rules of exponents are
$( x^{m})( x^{n})=( x^{m+n})$
$\frac{ x^{m} }{ x^{n} } = x^{m-n}$
$x^{ \frac{m}{n} } = \sqrt[n]{ x^{m} }$
$( x^{m} )( y^{m} )=(yx)^{m}$
$( x^{m})^{n}=x^{mn}$
$( \frac{x}{y})^{m}= \frac{x^{m}}{y^{m}}$
$x^{-n}= \frac{1}{x^{n}}$
these are just some basic ones

7 0

2 years ago

Read 2 more answers

A baseball is hit so that the height above the ground is given by the equation h=-16t^2+96t+3, where h is the height in feet and

Alexus [3.1K]

H'=-32t+96
0=-32t+96
-96=-32t
3=t

3 seconds

H=-16t^2+96t+3
H=48^2+288+3

H=48^2+291

6 0

3 years ago

Divide. Write in simplest form. 3/4 divided by 1/8