G(f(x))=? g(x)=2x^2-4? hope this is what you mean
g(f(x))=2(4x+2)^2-4
g(f(x))=2(16x^2+16x+4)-4
g(f(x))=32x^2+32x+8-4
g(f(x))=32x^2+32x+4
Answer:
$90
Step-by-step explanation:
Given from the question that the down payment is 10% the selling price of the store this will be;
10/100 * $2445 = $244.50
Monthly payments = $195
For one year, paying $195 per month will give a total of : $195 * 12 =$2340
Adding the down payment to get total amount paid = $2340 + $195 = $2535
The interest paid will be : $2535 -$2445 = $90
From the diagram above,
XZ = 10 in and OX = 10 in
we are to find length of OY
XZ is a chord and line OY divides the chord into equal length
Hence, ZY=YX= 5 in
Now we solve the traingle OXY
To find OY we solve using pythagoras theorem
applying values from the triangle above
![\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20OX%5E2%3DXY%5E2%2BOY%5E2%20%5C%5C%2010%5E2%3D5%5E2%2BOY%5E2%20%5C%5C%20100%3D25%2BOY%5E2%20%5C%5C%20OY%5E2%5Ctext%7B%20%3D%20100%20-25%7D%20%5C%5C%20OY%5E2%5Ctext%7B%20%3D%2075%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B75%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B25%5Ctext%7B%20%7D%5Ctimes%5Ctext%7B%203%7D%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%205%7D%5Csqrt%5B%5D%7B3%5Ctext%7B%20%7D%7Din%20%5Cend%7Bgathered%7D)
Therefore,
Length of OY =
![5\sqrt[]{3}](https://tex.z-dn.net/?f=5%5Csqrt%5B%5D%7B3%7D)
Answer:
10x - 2y
Step-by-step explanation:
<em>simplify</em><em> </em><em>the</em><em> </em><em>expression</em><em>.</em><em> </em>
<em>8x</em><em>–</em><em>2y</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>+</em><em> </em><em>x</em><em> </em>
<em>combine</em><em> </em><em>numbers</em><em> </em><em>that</em><em> </em><em>have</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>variables</em><em> </em>
<em>8x</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>+</em><em> </em><em>x</em><em> </em>
<em>*</em><em>those</em><em> </em><em>x</em><em> </em><em>have</em><em> </em><em>1</em><em> </em><em>coefficient</em><em> </em><em>each</em><em>.</em><em> </em>
<em>it</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>8x</em><em>+</em><em>1x</em><em>+</em><em>1x</em><em> </em><em>=</em><em> </em><em>10x</em><em> </em><em>then</em><em> </em><em>–</em><em>2y</em>
<em>10x</em><em>–</em><em>2y</em><em>.</em>
Hope it helps :)
Answer:
a) 
, b) 
, c) 
, d) 
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:
b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:
c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:
d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:
