All categories

2 years ago

-1/2(3x-4)+3x=5/6 Please help

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

3 0

Answer:

x = -7/9

Step-by-step explanation:

The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.

6(-1/2(3x -4) +3x) = 6(5/6)

-9x +12 +18x = 5 . . . . . . . . . simplify

9x = -7 . . . . . . . . . . . . . . . . . subtract 12

x = -7/9 . . . . . .divide by 9

Another way to do this is to eliminate parentheses first.

-3/2x +2 +3x = 5/6

3/2x = -7/6 . . . . . . . . . collect terms, subtract 2

x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3

You might be interested in

Find t given that these vectors are perpendicular

stira [4]

(a) If p and q are perpendicular (or orthogonal), then their dot product is 0:

$\mathbf p^\top\mathbf q = \begin{pmatrix}3&t\end{pmatrix}\begin{pmatrix}-2\\1\end{pmatrix} = 3\times(-2)+t\times1 = t-6 = 0 \implies \boxed{t=6}$

(b) and (c) can be answered in the same way.

(b)

$\begin{pmatrix}t&t+2\end{pmatrix}\begin{pmatrix}3\\-4\end{pmatrix} = 3t-4(t+2) = -t-8 = 0 \implies \boxed{t=-8}$

(c)

$\begin{pmatrix}t&t+2\end{pmatrix}\begin{pmatrix}2-3t\\t\end{pmatrix} = t(2-3t)+(t+2)t = 4t-2t^2 = 2t(2-t)=0 \implies \boxed{t=0\text{ or }t=2}$

3 0

2 years ago

A coral reef grows 0.18 m every week how much does it grow and 13 weeks write your answer in centimeters

horsena [70]

0.18m x13 weeks =2.34m

2.34 m= 234 cm

7 0

2 years ago

Find h is f(h) = 215 please help thank you!!

den301095 [7]

Answer:

h = 215/f

Step-by-step explanation:

7 0

2 years ago

Look at the table of values below. What is the missing term? x 0 1 2 3 4 y -2 -1 2 7 ?

Drupady [299]

The missing value in the table provided is 14.

4 0

2 years ago

W= X= HURRY I need this done ASAP

hammer [34]

W=20
X=12.5

12/15 = .8
25•.8=20

15/12=1.25
10•1.25=12.5

7 0

2 years ago