Supply and demand coordinate to determine prices by working

What is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)

poizon [28]

C). (3, 29) would be your answer.

Explanation?:

Rewrite the equation in vertex form.

y = -3(x - 3)^2 + 29

use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 3

k = 29

The vertex = (h, k)/(3, 29)

Hope this helps!

6 0

3 years ago

2 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Ivanshal [37]

Answer:

This series is divergent

F

Step-by-step explanation:

we are given a series

Firstly, we will find nth term

Numerator:

3, 4, 5,...

so, nth term will be

$a_n=n+3$

Denominator:

4,5,6,....

so, nth term will be

$b_n=n+4$

so, we can find it's nth term as

$c_n=\frac{n+3}{n+4}$

we can use divergent test

$\lim_{n \to \infty} c_n=\lim_{n \to \infty} \frac{n+3}{n+4}$

we can divide top and bottom by n

$\lim_{n \to \infty} c_n= \lim_{n \to \infty} \frac{n/n+3/n}{n/n+4/n}$

$\lim_{n \to \infty} c_n= \lim_{n \to \infty} \frac{1+3/n}{1+4/n}$

now, we can plug n=inf

$\lim_{n \to \infty} c_n= \frac{1+0}{1+0}$

$\lim_{n \to \infty} c_n=1$

Since, it is non-zero value

so, this series is divergent

8 0

3 years ago

You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two si

pshichka [43]

Answer:

An equation modeling the situation is : 4 m + 6 n = 180

Step-by-step explanation:

Here, the total number of guests in the banquet hall = 180

Let us assume number of tables ordered with capacity of

4 people each = m

And number of tables ordered with capacity of 6 people each = n

So, total number of people in m tables = m x ( Capacity of 1 table)

= m x (4) = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

= n x (6) = 6 n

So, the total capacity of ( m + n) tables = 4 m + 6 n

Also, the total required capacity = 180

⇒ 4 m + 6 n = 180

Hence, an equation modeling the situation is : 4 m + 6 n = 180

3 0

3 years ago

Ms. Melcher plans to decorate her house. Ms. Melcher wants to buy a rug to cover her bed room floor. If Ms. Melcher's bed room i

Marrrta [24]

The area of a square or a rectangle (which is the shape of any room in a house) is:

Area = width x length

So, in this case:

Area = 51 m x 26 m = 1326 Sq meters. Which is pretty big if you ask me.

Anyhow, Ms Melcher needs to buy 1326 sq meters

6 0

3 years ago

Solve the following equation for h.<br> r+3Q/h=t

Arada [10]

Answer:

$\bold{h=\dfrac{3Q}{t-r}}$

Step-by-step explanation:

$\bold{r+\frac{3Q}h=t}\\-r\qquad\ -r\\\bold{\frac{3Q}h=t-r}\\\cdot h\qquad \cdot h\\ \bold{3Q=(t-r)h}\\^{\div(t-r)\quad\div(t-r)}\\\bold{\dfrac{3Q}{t-r}=h}$

Or, if you mean (r+3Q)/h=t:

$\bold{\frac{r+3Q}h=t}\\{}\ \ \cdot h\quad\ \cdot h\\\bold{r+3Q=ht}\\{}\ \ \div t\qquad \div t\\\bold{\dfrac{r+3Q}{t}=h}\\\\\bold{h=\dfrac{r+3Q}{t}}$

4 0

3 years ago