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Do you KNOW the Quadratic Formula???  It's easy to find on the internet.... Look it up first......then substitute these values into it

a=2

b=7

c=15

What answers did you come up with???

Which means   x = 6,  -6

Well, when the jar goes from 1/4 to 1/3 it is 30 pennies:

1/3 - 1/4 = 30

4/12 -3/12 = 1/12 = 30 pennies

3/4 full = 9/12      1/12 is 30    then 9/12 is NINE TIMES MORE or  9x30= 270 pennies

(x-6) (x+6) = 0

Discriminant[2x^2-8x-3, x]=88

Square root of -144?=12i

(8x^2)-128=0

(8x^2)=128 divide both sides by 8

x^2=16 take the sqrt of both sides

x=4

If 2/7 = x/35, then x=

2/7 X 5/5=10/35=x/35, therefore x=10

Factors of 12:

1,2,3,4,6,12

Factors of 15:

1,3,5,15

GCF is 3

here is a complicated explanation

10=5*2 9=3*3

5*3=15 3*2=6

15+6=21 

Multiply both sides by 35. ☺

The 35s on the right wiĺl cancel out.  

because these people don't know what they are talking about. 

Well you cannot simplify except by taking away the brackets.

Those brackets are meaningless and mildly annoying so get rid of them.

If you are meant to factorise then take out the 8

8(x^2-16)

Now you have a difference of 2 squares.

8(x-4)(x+4)

Buy yourself a box of "Cherios". First, take 10 out of the box. Make sure you count them one by one. Put those 10 in an empty bowl. Then take 9 out the box, and count them, one by one and add those to the bowl. Now you should have 10 + 9 in the bowl. Now count them ALL. Whatever number you get is the RIGHT answer for 10+9. OK, understood?

why

But, I don't see any "New Conditions" in your quaestion!!. By the way, I think I mistook the exchange rate to be $1CDN=.90USD, but it apparently is other way round. If that is the case, unfortunately you will have to re-do all the calculations about converting $600,000USD into Canadian dollars. Also, you have to re-calculate the GIC investments that we did earlier. P.S., If that's the case, then you just divide $600,000/.90=$666,666.67 CDN.

1000 blinks/hr = 1x10^3

2.4 x 10!^1  hrs/ day

3.65x 10^2 days/yr

Multiply all of those together

(1x10^3)(2.4x10^1)(3.65x10^2) = 8.76 x 10^6 Blinks/yr

1 is the solution

A tired squirrel (mass of 1 kg) does push-ups by applying a force to elevate its center-of-mass by 5 cm. Estimate the number of push-ups that a tired squirrel must do in order to do a approximately 5.0 Joules of work.

 \(W_{pushup}=F_{pushup} d \\ F_{pushup} = m g = (1kg)(9.8m/s^2) = 9.8N\\ W_{pushup}=(9.8N)(0.05m) = 0.49Joules\)

\(\dfrac {5}{0.49} \approx 10.2 \\ \mbox{So }10 \mbox{ pushups is about }5 \mbox{ Joules of work.}\)

Its just OOP

or order of operations

that was actually correct

If he sold 4,500 units at $100=$450,000 + 3,500 units at $90=$315,000.

You add the two together and you get=$450,000+$315,000=$765,000. This is his gross take given the condition in your question. Now, you can decide if he will meet his original target of $100,000.

Here's the graph in degrees  [  Pi = 180° ] ..........................https://www.desmos.com/calculator/6agjoftrd9

(x + 2y + 2) + (x + y + 2) + (2x + y + 4)    collect like terms

 [ x + x + 2x ]  + [ 2y + y + y ]   + [ 2 + 2 + 4 ]  =

4x + 4y + 8