Answer:
7 & 13
Step-by-step explanation:
Let the first number be x
2nd number = 8 less than 3 times the other
2nd number = 3x - 8
Their sum = 20
X + 3x - 8 = 20
4x -8 = 20
Collect like terms
4x = 20+8
4x = 28
Divide both sides by 4
4x/4 = 28/4
X = 7
First number = 7
2nd number = 3x - 8
= 3(7) - 8
= 21 -8
= 13.
Therefore the numbers are 7 and 13
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4(-2)-3 = -8-3 = -11
Answer: -11
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in
Answer:
3/2
Step-by-step explanation:
sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =
Use 
so
Answer:
9
Step-by-step explanation:
The first operation is what inside the braces
1-first comes the multiple and the division
2- then the + and the -
1- (25-36)+5(8-4)
2- (25-36) + 5×4
3- (-11) + 20 =9
