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2 years ago

14

What conjecture can you make about the number of dots in the nth pattern?

1 answer:

Evgen [1.6K]2 years ago

4 0

Answer:

$\frac{n(n + 1)}{2}$

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The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

Studentka2010 [4]

Answer:

D) $(-2,-9)$

Step-by-step explanation:

<u>Vertex Form of a Vertical Parabola:</u>

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

Vertex -> $(h,k)$

Axis of Symmetry -> $x=h$

Vertical Scale Factor -> $a$

To turn $f(x)=x^2+4x-5$ into vertex form, we need to complete the square on the right side
Therefore, if $f(x)=0$ , then $0+9=x^2+4x-5+9$ completes the square on the right side
This becomes $9=(x+2)^2$
This means that our function in vertex form is $f(x)=(x+2)^2-9$

Therefore, the vertex of the graph is $(h,k)=(-2,-9)$ .

3 0

2 years ago

The number of males in the classroom is three more than twice the number of females. Of the total number of students is 57, how

dolphi86 [110]

Answer:

Step-by-step explanation:

Given that the number of males in the classroom is three more than twice the number of females.

the total number of students is 57

Let x be the no of males then no of females = $57-x$

Also we have 3 more than twice no of females as

$2(57-x)+3$

This equals x

$2(57-x)+3=x\\114-2x+3=x\\3x=117\\x=39$

No of males = 39, no of females = 18

6 0

2 years ago

Which is greater? 4 tenths and 2 hundredths or 2 tenths and 4 hundredths

Orlov [11]

4 tenths and 2 hundredths is written .42

2 tenths and 4 hundreds is written .24

.42 is greater than .24

.42 > .24

Hope this helps.

8 0

3 years ago

Explain plzzzzzzzzzzzzzz

timurjin [86]

Answer:

8/3

Step-by-step explanation:

x equals 8/3

7x_2_4x_6=0

3x=8 ÷3 in both sides

6 0

2 years ago

PLZ ANSWER THIS!!! I have no clue.

Advocard [28]

Density =mass/ volume
Volume= density/ mass

8 0

3 years ago