Answer:
x = -2 ±sqrt(7)
Step-by-step explanation:
3x^2 +12 x = 9
Divide each side by 3
3x^2 /3 +12x/3 = 9/3
x^2 +4x = 3
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add it to each side
x^2 +4x+4 = 3+4
x^2 +4x+4 = 7
(x+2)^2 = 7
Take the square root of each side
x+2 = ±sqrt(7)
Subtract 2 from each side
x+2-2 = -2 ±sqrt(7)
x = -2 ±sqrt(7)
Answer:
x = 3 should be the answer
Step-by-step explanation:
y is not graphed so y isn't part of the equation while x is so its X = K (K being the number that it goes up on) same thing applies to y if its horizontal then the equation is Y = K)
The equation for compound interest is:
Where r is the interest rate and n is the number of times per year it's applied. Annually n = 1 and 7% interest r = 0.07 The quarterly rate 2% is already quartered 0.02 = r/n .
You can see that Alexander is incorrect. A quarterly compound interest rate of 2% will accrue more interest than a 7% compound annual interest rate.
1.7% compound quarterly Hope this helps:)
<span>Which decimal does not round to 10?
I am not sure but if the teacher allows you to pick more than one choice, circle all because I think none of them is rounded to 10.</span>
Answer:
y value = 49
Step-by-step explanation:
You are going to be completing the square
y = - x^2 - 10x + 24 Take a minus outside the brackets for the first 2 terms.
y = - (x^2 + 10x) + 24
Take 1/2 the linear term (1/2 10 and square it. Put that value inside the brackets. 1/2* 10 =5; 5^2 = 25
y = - (x^2 + 10x + 25) + 24
Add 25 outside the brackets.
y = -(x^2 + 10x + 25) + 24 + 25. You should stop here and consider why you are adding 25 outside the brackets. It is because there is a - sign in front of the trinomial and what is inside the brackets is really - 25 when the brackets are removed. Therefore to balance that, you add 25.
Now complete the square.
y = - ( x + 5)^2 + 49
The value you seek is 49.
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I'll confirm this with a graph.
