Add the five to each side.
then square it to get rid of the square root
2x+13=(5+x)^2
2x+13=x^2+10x+25
2x=x^2+10x+12
x^2+8x+12=0
(x+6)(x+2)
x+6=0
x+2=0
answers are -2 and -6, however, when pluging -6 in it doesnt work, so it is only -2.
Answer:
2 cm per hour
Step-by-step explanation:
1 hour lines up with 2cm
2 hours line up with 4cm
3 hours line up with 6cm
Step-by-step explanation:
x+y=5
3x-2y+5=0
3x-2y= -5
x+y=5...... equation 1
3x-2y= -5....... equation 2
there fore make x the subject of the formula in equation 1
x=5-y.. equation 3
substitute equation three in equation 2
3(5-y)-2y=-5
15y-3y-2y=-5
10y=-5
divide both sides by 10
y=-5/10
y=-½
substitute y into equation 1
x+(-½)=5
x=5+½
x=5½
x=5½,y= -½
Hi there!

There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
<u>1) f(x)</u>
We're given that
:
⇒
:
<u>2) f(x+1)</u>
Now, we must find f(x+1). To do so, add 1 to x in the original function
:
⇒ 
<u>3) 4f(x)</u>
To find 4f(x), multiply the original function
by 4:
:
<u>4) Put it all together</u>
Now, plug each of the three parts into the equation
:


Factor the left side

Divide both sides by 3^x

Because this equation is true,
is therefore true.
I hope this helps!