All categories

3 years ago

What k-1/3=5/6 equal ?

1 answer:

7 0

The value of "K"

$k -\frac{1}{3} = \frac{5}{6}$

MMC (3,6)
3,6 | 3
1,2 | 2
1,1 |__ 3*2 = 6

Solving:
$k -\frac{1}{3} = \frac{5}{6}$
$\frac{6k}{6} - \frac{2}{6} = \frac{5}{6}$
cancel denominators (6)
$6k - 2 = 5$
$6k = 5+2$
$6k = 7$
$\boxed{k = \frac{7}{6} }$

You might be interested in

Evaluate each function following the specification.

telo118 [61]

Answer:

#3 a. g(-1) = 2, g(0) = 3, and g(1) = 2

b. No restrictions for all real numbers

$\#4 \ a. \ h(-1) = \dfrac{1}{3}, \ h(0) =0, \ h(2) = \infty$

b. Yes, x ≠ 2

Step-by-step explanation:

#3 The function is given as g(x) = -x² + 3

a. From the given function, by plugging in the value of 'x' in the bracket, we have;

g(-1) = -(-1)² + 3 = -1 + 3 = 2

g(-1) = 2

g(0) = -0² + 3 = 3

g(0) = 3

g(1) = -1² + 3 = -1 + 3 = 2

g(1) = 2

g(-1) = 2, g(0) = 3, and g(1) = 2

b. The given function g(x) = -x² + 3 for finding the value of g can take any value of x which is a real number

Therefore, therefore, there are no restrictions

#4 a. The given function is given as follows;

$h(x) = \dfrac{x}{x - 2}$

By substitution, we get;

$h(-1) = \dfrac{-1}{(-1) - 2} = \dfrac{-1}{-3} = \dfrac{1}{3}$

$\therefore h(-1) = \dfrac{1}{3}$

$h(0) = \dfrac{0}{0 - 2} = \dfrac{0}{-2} =0$

$\therefore h(0) =0$

$h(2) = \dfrac{2}{2 - 2} = \dfrac{2}{0} = \infty$

$\therefore h(2) = \infty$

$h(-1) = \dfrac{1}{3}, \ h(0) =0, \ h(2) = \infty$

b. From the values of the function, we have that h(x) is not defined at x = 2

Therefore, there is a restriction for x in the function, which is x ≠ 2

3 0

3 years ago

Geometry (21) Study Guide

DanielleElmas [232]

Answer: 11x-3y = 32

---------------------------------------------------------------

Explanation:

The given points are
A = (-4,-2)
B = (4,4)
C = (18,-8)

First we'll use points A and C to find the slope of line AC
m = (y2-y1)/(x2-x1)
m = (-8-(-2))/(18-(-4))
m = (-8+2)/(18+4)
m = -6/22
m = -3/11
The slope of AC is -3/11

Take the negative reciprocal of this slope
Flip the fraction: -3/11 -----> -11/3
Flip the sign: -11/3 ----> +11/3 = 11/3

The slope of AC is -3/11 while the slope of any line perpendicular to AC is 11/3
Let m = 11/3 and (x,y) = (4,4) which are the coordinates of point B
Plug these values into slope intercept form and then solve for b
y = mx+b
4 = (11/3)*4+b
4 = 44/3+b
4 - 44/3 = 44/3+b-44/3
b = 4 - 44/3
b = 12/3 - 44/3
b = (12 - 44)/3
b = -32/3

Since m = 11/3 and b = -32/3, we go from this
y = mx+b
to this
y = (11/3)x-32/3

Now clear out the fractions and get the x and y variables to one side
y = (11/3)x-32/3
3y = 3*[ (11/3)x-32/3 ]
3y = 11x - 32
3y-11x = 11x-32-11x
-11x+3y = -32
-1*(-11x+3y) = -1*(-32)
11x-3y = 32

The equation of the through B that is perpendicular to AC is 11x-3y = 32 (this equation is in Ax+By = C form which is called standard form)
This is better known as the altitude through B

3 0

3 years ago

You are planning to save for retirement over the next 35 years. to do this, you will invest $870 a month in a stock account and

DaniilM [7]

Go to mathpapa thats what i use

6 0

4 years ago

What is the answer to x+4=8

anzhelika [568]

This is an easy one!

x+4 = 8
x = 8-4

Therefore x = 4.

3 0

3 years ago

Anna buys a sweater for $25.60, and it is on sale for 35% off. What is the amount of the discount?

inysia [295]

To find the answer of this question, you have to multiply 25.60*0.35, since 35% equals 0.35 and the original price of the sweater was 25.60. After you do this, you should get $8.96 as the amount of the discount.

4 0

3 years ago

Read 2 more answers