2 years ago

Write y=x^2+4x-5 in vertex form. Then identify the vertex.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

7 0

the vertex form is (x+2)^2 - 9 and the vertex is (-2, -9)

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In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma

daser333 [38]

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1. Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

$x-1=y.$

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

$2(y-1)=x.$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.$

Then

$x=y+1=3+1=4.$

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3 years ago

How many 3-digit numbers can you write using only the digits 1 and 2?

defon

For the first digit, you have two possible choices: 1 or 2. For *each* of those choices, you can choose 1 or 2 for the second digit in the number, and for each of *those*, you can choose 1 or 2 for the third digit of the number.

That’s 2 * 2 * 2 or 8 possible 3-digit numbers you can make with the digits 1 and 2.

4 0

3 years ago

Quartile of 20, 21, 25, 25

Fantom [35]

Quartile or interquartile.

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3 years ago

What is another word for magnitude?

Marianna [84]

The size of something. Typically something that is very large.

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3 years ago

The Park Protectors is a group of elementary students and teachers from 32 schools who pick up trash at local parks. The line pl

just olya [345]

Answer:

~117

Step-by-step explanation:

3 3/4 of trash all together i divided it up by 3 3/4 / **32 x *1000

*1000=1 ton or 1000lbs

**32 the amount of schools

(i actually got 117.1875)

8 0

3 years ago

Read 2 more answers