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3 years ago

In George’s classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?

Mathematics

2 answers:

Sladkaya [172]3 years ago

6 0

Answer:

1:3

Step-by-step explanation:

Natali [406]3 years ago

3 0

Answer:

6;2

Step-by-step explanation:

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The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

$f(x)=x^2+6x+3$

$g(x)=f(x-2)$

$g(x)=(x-2)^2+6(x-2)+3$ (Replaced x in f with (x-2))

$g(x)=x^2-4x+4+6x-12+3$ (Used $(x+b)^2=x^2+2bx+b^2$ and distributive property)

$g(x)=x^2-4x+6x+4-12+3$ (Gathered like terms)

$g(x)=x^2+2x-5$ (Simplified)

The vertex of a parabola occurs at $(\frac{-b}{2a},g(\frac{-b}{2a})$ .

Let's find $\frac{-b}{2a}$ first.

$\frac{-2}{2(1)}=-1$

Now we can obtain $g(\frac{-b}{2a})$ which is $g(-1)$ in this case:

$g(x)=x^2+2x-5$

$g(-1)=(-1)^2+2(-1)-5$

$g(-1)=1-2-5$

$g(-1)=-1-5$

$g(-1)=-6$ .

The vertex is (-1,-6).

6 0

3 years ago

A triangle with an area of 23 cm² is dilated by a factor of 6.

Jlenok [28]

For this item, I will assume that we are required to give the area of the dilated triangle. By dilated we mean to say that the dimensions of the second triangle is 6 times that of the first. We square 6 and them multiply this to the area of the original triangle to get the area of the second. That is,
area of second triangle = (2/3 cm²)(6²) = 24 cm²
Thus, the area of the new triangle is equal to 24 cm².

8 0

3 years ago

What are the odds against choosing a red marble from a bag that contains two blue marbles, one green marble, seven white marbles

Alina [70]

Answer:

4/14

Step-by-step explanation:

2+1+7+4=14

red marbles are 4/14

7 0

2 years ago

Read 2 more answers