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3 years ago

So, I need to evaluate 1/2n + 1/6 when n = 1/3.

Mathematics

2 answers:

Semenov [28]3 years ago

3 0

Answer:

1/3

Step-by-step explanation:

First, plug in n to the equation

1/2(1/3)+1/6

Now multiply 1/2*1/3

1/6+1/6

Simplify

2/6-->1/3

Hope this helps!

katrin2010 [14]3 years ago

3 0

Answer:

1/3

Step-by-step explanation:

1/2n + 1/6

1/2(1/3) + 1/16

1/6 + 1/6

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rene charges $2.25 for gasoline plus $8.50 per hour for mowing lawns what is x the number of hours he has to mow lawns to earn t

Black_prince [1.1K]

2.25 + 8.50x = 50

8.50x = 50 - 2.25

8.50x = 47.75
——— ———
8.50. 8.50

x = 5.6 hours

Hope that helps :)

4 0

4 years ago

The equation for a parabola has the form y=????x2+????x+cy=ax2+bx+c, where ????a, ????b, and cc are constants and ????≠0a≠0. Fin

d1i1m1o1n [39]

The equation for this parabola satisfies

$\begin{cases}a-b+c=9\\9a+3b+c=-19\\16a-4b+c=-12\end{cases}$

(in other words, plug in each given point's coordinates $(x,y)$ into the equation $y=ax^2+bx+c$ )

Now,

$(a-b+c)-(9a+3b+c)=9-(-19)\implies-8a-4b=28\implies2a+b=-7$

$(a-b+c)-(16a-4b+c)=9-(-12)\implies-15a+3b=21\implies5a-b=-7$

and

$(2a+b)+(5a-b)=(-7)+(-7)\implies7a=-14\imples a=-2$

$2(-2)+b=-7\implies b=-3$

$(-2)-(-3)+c=9\implies c=8$

So the equation of the parabola is

$y=-2x^2-3x+8$

4 0

4 years ago

Why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller

kolezko [41]

An exponent tells how many times a number is multiplied by it self . with whole numbers if you keep multiplying them they have to increase . taking a half of anythink makes it smaller .

7 0

4 years ago

What is the slope of the line that passes through the points (8,-8) and (5,-1)?

dezoksy [38]

Hey there!

Answer :

$\sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}}$

$\\$

Explanation :

We are given the points $\sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })}$ . To find the slope $\sf{\purple{m}}$ of such a line, we use the slope formula which is the following:

$\sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}}$

$\\$

⇢Now, by plugging in our values, we get :

$\sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}$