Ask question

Ask question

All categories

2 years ago

14

east side middle school has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth grade students are the

re?

1 answer:

77julia77 [94]2 years ago

3 0

480 6th grade students
:)

You might be interested in

Y=-1/3x^2-4x-5 in vertex form

grigory [225]

Answer:

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

Step-by-step explanation:

Given function:

$Y=-\frac{1}{3}x^2-4x-5$

We need to find the vertex form which is.,

$y=a(x-h)^2+k$

where $(h,k)$ represents the co-ordinates of vertex.

We apply completing square method to do so.

We have

$Y=-\frac{1}{3}x^2-4x-5$

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

$-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5$

$-3Y=x^2+12x+15$

Isolating $x^2$ and $x$ terms on one side.

Subtracting both sides by 15.

$-3Y-15=x^2+12x-15-15$

$-3Y-15=x^2+12x$

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of $x$ term, square it and add it both sides side.

square of half of the co-efficient of $x$ term = $(\frac{1}{2}\times 12)^2=(6)^2=36$

Adding 36 to both sides.

$-3Y-15+36=x^2+12x+36$

$-3Y+21=x^2+12x+36$

Since $x^2+12x+36$ is a perfect square of $(x+6)$ , so, we can write as:

$-3Y+21=(x+6)^2$

Subtracting 21 to both sides:

$-3Y+21-21=(x+6)^2-21$

$-3Y=(x+6)^2-21$

Dividing both sides by -3.

$\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}$

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

8 0

2 years ago

how to solve 2 to the 8th power divided by 2 to the 9 power? Im trying to find the right exponets topic for this but not having

MArishka [77]

2 to the negative 1 power. When you divide two exponents with the same base, you subtract the two exponents to get your answer.

:)

7 0

2 years ago

Nia has numbers cards for 2,3,8,9,and 5.What are all the different ways Nia can arrange the cards to show only even numbers with

Natalija [7]

Answer:

any order where 2 is the last number in the sequence

Step-by-step explanation:

the ten-thousand place in 12,345 is 5.

ex: 3,8,9,5,2

5,9,8,3,2

8,9,5,3,2

5 0

2 years ago

Can someone pls help me find what is 1/10+12/20?

irga5000 [103]

Answer:

$\frac{7}{10}$

Step-by-step explanation:

$\frac{1}{10}$ can also be written as $\frac{2}{20}$

$\frac{2}{20} +\frac{12}{20} =\frac{14}{20}$

Simply to $\frac{7}{10}$

-OTHER METHOD-

$\frac{12}{20}$ can be simplified to $\frac{6}{10}$

$\frac{1}{10} +\frac{6}{10} =\frac{7}{10}$

7 0

2 years ago

Read 2 more answers

What is the approximate average rate of change over the interval [2, 6]?

____ [38]

Answer:

250

Step-by-step explanation:

4 0

2 years ago