MATHEMATICS
HIGH SCHOOL

Answer: 12:18

divided by 6 on both sides.

Answer would be 2:3

divided by 6 on both sides.

Answer would be 2:3

Answer:

Answer: so i think the answer coulb be D

Step-by-step explanation:

MIDDLE SCHOOL

Simplify the following in the form of a + b √c

3√3 - √2 / 2√3 + √2

Answer:

18 - 3√6 - 4√3 + 2√2 / 10

Step-by-step explanation:

3√3 - √2 / 2√3 + √2 = 3√3 - √2 / 2√3 + √2 • 2√3 - √2 / 2√3 - √2 = 18 - 3√6 - 4√3 + 2√2 / (2√3)^2 - (√2)^2 = 18 - 3√6 - 4√3 + 2√2 / 4 • 3 - 2 = 18 - 3√6 - 4√3 + 2√2 / 12 - 2 = 18 - 3√6 - 4√3 + 2√2 / 10.

Hope this helps!

MIDDLE SCHOOL

How many possible outcomes are there when flipping a coin 9 times

Answer:

There are 2 outcomes per flip.

Therefore the answer is 2^9 which equals 512 outcomes.

Step-by-step explanation:

Answer: 512

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Explanation:

If you had one coin, then there are 2 outcomes because of the two sides heads or tails, which I'll shorten to H and T respectively.

With two coins, there are 2*2 = 4 outcomes (HH, HT, TH, or TT)

Having 3 coins there are 2*2*2 = 2^3 = 8 outcomes

4 coins and we have 2^4 = 2*2*2*2 = 16 outcomes

and so on

With 9 coins there are 2^9 = 512 different outcomes

MIDDLE SCHOOL

4x-y, when x=5 and y=6

4x-y

x= 5

y= 6

replace in the ecuation above:

4•5-6= 20-6= 14

x= 5

y= 6

replace in the ecuation above:

4•5-6= 20-6= 14

Answer:14

Step-by-step explanation:

(4)(5)−6

=14

HIGH SCHOOL

Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?

Answer:

f(x) intersect the x-axis ate ( 4 , 0 ) and ( -1/3 , 0)

Step-by-step explanation:

Given function,

We need to find this function cuts x-axis at what point.

let,

We know that points on x-axis has y-coordinate equal to 0.

So, we put y = 0 to find value of x.

By putting y = 0, we get

solving by quadratic formula,

Therefore, f(x) intersect the x-axis ate ( 4 , 0 ) and ( -1/3 , 0)

X= -1/3 (negative x-intercept)

x=4 (positive x-intercept)

x=4 (positive x-intercept)