F(x)=x^2+6x+3
seperate x terms
f(x)=(x^2+6x)+3
take 1/2 of 6 and square it
6/2=3
3^2=9
add negative and positive inside parenthasees
f(x)=(x^2+6x+9-9)+3
factor perfect square
f(x)=((x+3)^2-9)+3
get rid of parenthasees
f(x)=(x+3)^2-9+3
f(x)=(x+3)^2-6
last one is answer
Answer:
The value of x is 8 .
Step-by-step explanation:
It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .
As EF, GH, RS and NP are in proportion
So,
EF : GH = RS : NP
Answer:
The change in temperature is -50
Step-by-step explanation:
Take the second temperature and subtract the first temperature
-10 -40
-50
The change in temperature is -50
These are 2 very different equations, and should be graphed very differently.
<u>A
</u><u /><u />For Part A, we must first put this in Slope Intercept Form (SIF), which is y=mx+b where "m" is the slope and "b" is the y-intercept. To do this, we should solve like a normal equation for y.
2x+3y=12
-2x -2x
3y=-2x+12
/3 /3
y=-2/3x+4
Now that we have the proper equation, it is simply to graph! We should simply make a point at (0, 4), and then go down 2, right 3 until you are satisfied with your line.
<u>B
</u>Part B is a simple x value, which means you will draw a vertical line through 7 on the x-axis.
Below I have attached a clearly labeled graph that shows you examples of these lines. The red markings indicate x=7. The yellow circle shows you the y-intercept in Part A, while the yellow dots show you the slope in Part A.
Answer:
<u>If the amount is P, with the interest rate of 12%, the interest over the year is:</u>
<u>In this case the quarterly interest rate is:</u>
<u>With the same amount and 3% quarterly rate, the yearly interest would be:</u>
<u>The quarterly interest rate in this case is:</u>
If the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.
So Kraig is wrong.