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Assoli18 [71]
3 years ago
14

Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step

Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0

Answer:  \bold{x=\dfrac{11}{21}}

<u>Step-by-step explanation:</u>

\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted.  I assumed it was 4x + 7 in order to solve the equation.

nataly862011 [7]3 years ago
6 0

Answer:

X=-2/3

Step-by-step explanation:

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How much would $150 invested at 8% interest compounded continuously be worth after 17 years
Umnica [9.8K]

Answer:

Approximately $584.43

Step-by-step explanation:

Your formula is A=Pe^rt

A is what you're looking for, the amount

P is the principal aka what you put into the account: $150

e is the mathematical constant. You'd plug that into your calculator.

r is the rate, you'd put it into the equation as a decimal: 8%=.08

t is the time in years: 17

A=150e^.08x17 <em>you can plug this into your calculator</em>

A=$584.43

7 0
3 years ago
What number must be added to the expression below to complete the<br> square?<br> x² - 18x
kiruha [24]

Answer:

\boxed {\boxed {\sf 81}}

Step-by-step explanation:

The standard form of a quadratic is:

ax^2+bx+c

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.

The expression given:

x^2-18x

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

(\frac{b}{2})^2

The b in the expression is -18.

(\frac{-18}{2})^2

(-9)^2= -9*-9= 81

This is the number that is added.

5 0
3 years ago
What’s 50/4 as a decimal?
bearhunter [10]

Answer:

<em>Hello, </em><u><em>Your answer will be  "12.5"</em></u>

Step-by-step explanation:

To write 50/4 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 50 by 4 what we write down as 50/4 and we get 12.5<em> Hope That Helps!</em>

5 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points(-5,-9) and (-5,-13)? Write your answer in simplest form.
Valentin [98]

Answer:

slope is undefined

ex. a straight vertical line like x = 2 would have an undefined slope

Step-by-step explanation:

formula is

y2-y1 / x2-x1

-13 + 9 / -5 + 5

-4 / 0

slope is undefined

straight vertical line like x = 2 would have an undefined slope

undefined slope is the slope of any vertical line that goes up or down. There is no horizontal movement and hence the denominator is zero while calculating the slope. Thus the slope of the line is undefined.

cuemathcomgeometryundefinedslope

mathbootcampscom

7 0
2 years ago
+
Alex787 [66]

Answer:

Sis what???

Step-by-step explanation:

period pooh

4 0
3 years ago
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