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3 years ago

N - 4 = 3n + 6 what number does n represent?

Mathematics

2 answers:

pav-90 [236]3 years ago

7 0

Answer:

n = -5

Step-by-step explanation:

n - 4 = 3n + 6

n = 3n + 10

-2n = 10

n = -5

Bogdan [553]3 years ago

6 0

Answer:

-5

Step-by-step explanation:

Lets start by combining some common terms. -4 can be brought over to the right as +4 and 3n can be brought to the left as -3n to make the statement -3n +n = 6+4

Simplifying that, we get -2n = 10

Dividing 10 by -2, we get n = -5

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Gekata [30.6K]

Answer:

Step-by-step explanation:

4km

$\frac{3 }{27} \frac{miles}{minutes}$ * $\frac{60}{1} \frac{min}{hour}$ * $\frac{1}{.6213} \frac{km}{mile}$

4km ÷ 10.73 km/hr = .37 hr = 22.3 minutes

7 0

3 years ago

Calculate the length of the circumference of a circle with diameter of 7cm

Bad White [126]

The circumference of the circle is given by the equation C = pi * D. Incorporating the length of the diameter into the equation, we have,

C = pi * D

C = pi * 7cm

C = 21.99 cm

8 0

3 years ago

Is 12.56 greater than or less than 125.6

Flauer [41]

Less than because !2.56 bascically means just 12 and 125.6 means bascally just 125 and 125 is waay more than 12

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3 years ago

State the value of the discriminant of -6x^2 +2x + 3 = 0

Dmitry [639]

Answer:

Step-by-step explanation:

recall that for a quadratic equation in the form

ax² + bx + c = 0, the discriminant is given by

discriminant, D = b²- 4ac

we are given the following:

-6x² + 2x + 3 = 0,

comparing this with the general equation above, it is clear that,

a = -6, b = 2 and c = 3,

substituting these into our equation for discriminant:

D = b²- 4ac

= 2² - 4(-6)(3)

= 4 + 72

= 76

4 0

3 years ago

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

6 0

3 years ago