Let's say the length is L, and the width is W
L is one foot more than 2W, so L=1+2W
the area of the rectangle: A=L*W=300
replace L with 1+2W: (1+2W)*W=300 =>2W^2+W-300=0
solve the quadratic equation: (W-12)(2W+25)=0
W=12 or W=-12.5 (impossible)
so the width is 12, and the length is L=1+2*12=25
please refer to this website for how to factor a quadratic equation
http://www.purplemath.com/modules/factquad.htm
Answer:
AN = 9
Step-by-step explanation:
so we can imagine this in a line like:
A---------------N---------------X
Step 1 : solve for x
AX=21 (our total)
because we know that AN+NX together makes AX, we put that into an equation
<u>AN + NX = AX </u>
(2x+1) + (3x) = 21
2x + 1 + 3x = 21 <-- <em>subtract 1 from both sides</em>
2x + 3x = 20 <-- <em>add 2x +3x </em>
5x = 20 <-- <em>divide 5 from both sides</em>
<u>x = 4</u>
Step 2 : input x into AN
AN = 2x + 1 <-- <em>input 4 for x</em>
AN = 2(4) + 1 <-- <em>simplify from there</em>
<u><em>AN = 9</em></u>
<u><em /></u>
Answer: Q1 10 Q216 Q3 8
Step-by-step explanation:
BECAUSE I THIK THAT IS THE ANSWER
Answer:
The 95% confidence interval is ( 27.126 , 34.674)
Step-by-step explanation:
Given
The t critical value at 0.05 level = 2.023 for the df = 39
Confidence interval = 95%
Mean

Substituting the given values we get -

Hence, the 95% confidence interval is
( 27.126 , 34.674)
Answer:
Maggie's ballon is 12 high.
Step-by-step explanation:
We are asked to find the y-value, and the x-value is given:
Plug the values in to solve for y.
y = -(2)^2 + 17(2) - 42 y
= -(4) + 34 - 42 y
= -4 + 34 - 42 y
= -12
The negative sign tells the direction. It is negative because the ballon is in the opposite direction.