Y y\le -\frac{1}{2}x+1<br> y≤− <br> 2<br> 1<br> <br> x+1

One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio o

choli [55]

Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

4 b - 36 = 6 + g

4 b - g = 42 .... (2)

From ( 1 ) and ( 2 )

$4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18$

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.

7 0

2 years ago

Please help me with precal

Doss [256]

Consider the function $f(x)=\sqrt{x}.$ This function has:

the domain $x\in [0,\infty);$
the range $y\in [0,\infty).$

If the domain of unknown function is $[a,\infty),$ then $x\ge a$ or $x-a\ge 0.$ This means that you have $\sqrt{x-a}$ as a part of needed function.

If the range of unknown function is $[b,\infty),$ then $y\ge b.$ This means that you have to translate function b units up and then the expression of the function is

$y=\sqrt{x-a}+b.$

Answer: correct choice is B.

6 0

2 years ago

Answers for both boxes please :)

NISA [10]

Answer: (-2;8)

$\left \{ {{3x+3y=18} \atop {2x+y=4}} \right. \\\\\left \{ {{x+y=6} \atop {2x+y=4}} \right. \\\\=>\left \{ {{x=4-6} \atop {x+y=6}} \right. \\\\\left \{ {{x=-2} \atop {x+y=6}} \right. \\\\\left \{ {{x=-2} \atop {y=6-(-2)=8}} \right.$

Step-by-step explanation:

6 0

2 years ago

Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain

svlad2 [7]

Answer:

ABCD is a rhombus, and a parallelogram

==================================

<h3>Given </h3>

Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

Opposite sides are parallel,
Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

5 0

8 months ago

Mr lin has 10 baesball his gym make 4 teams

spin [16.1K]

Answer:

Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group

Step-by-step explanation:

It would be better if he had 5 teams because everyone will be able to be in a team

4 0

2 years ago

Y y\le -\frac{1}{2}x+1 y≤− 2 1 ​ x+1

Y y\le -\frac{1}{2}x+1 y≤− 2 1 x+1