The probability of drawing a white marble = $\frac{Number of white marbles}{Total number of Marbles}$

∴ the probability of drawing a white marble = ³/₁₄

6 0

3 years ago

Find the axis of symmetry of 2x^2 + 12x + 16 Show your work

raketka [301]

The vertex form:

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

The axis of symetry is x = h.

$y=ax^2+bx+c\to h=\dfrac{-b}{2a}$

We have

$y=2x^2+12x+16\to a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3$

<h3>Answer: x = -3</h3>

6 0

3 years ago

a company can make 5000 crayons in 6 minutes how many crayons can be made in 3 hours. please show the steps!

Sloan [31]

6 mins goes into 60 mins ten times.
so, first do
$5000 \times 10 = 50000$
now 50000 crauons are being made in 1 hour but your are trying to find how many crayons are being made in 3 hours
so, you multiply
$50000 \times 3 = 150000$
150000 is how many crayons are made in 3 hours.

7 0

3 years ago