Answer:
{1, (-1±√17)/2}
Step-by-step explanation:
There are formulas for the real and/or complex roots of a cubic, but they are so complicated that they are rarely used. Instead, various other strategies are employed. My favorite is the simplest--let a graphing calculator show you the zeros.
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Descartes observed that the sign changes in the coefficients can tell you the number of real roots. This expression has two sign changes (+-+), so has 0 or 2 positive real roots. If the odd-degree terms have their signs changed, there is only one sign change (-++), so one negative real root.
It can also be informative to add the coefficients in both cases--as is, and with the odd-degree term signs changed. Here, the sum is zero in the first case, so we know immediately that x=1 is a zero of the expression. That is sufficient to help us reduce the problem to finding the zeros of the remaining quadratic factor.
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Using synthetic division (or polynomial long division) to factor out x-1 (after removing the common factor of 4), we find the remaining quadratic factor to be x²+x-4.
The zeros of this quadratic factor can be found using the quadratic formula:
a=1, b=1, c=-4
x = (-b±√(b²-4ac))/(2a) = (-1±√1+16)/2
x = (-1 ±√17)2
The zeros are 1 and (-1±√17)/2.
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The graph shows the zeros of the expression. It also shows the quadratic after dividing out the factor (x-1). The vertex of that quadratic can be used to find the remaining solutions exactly: -0.5 ± √4.25.
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The given expression factors as ...
4(x -1)(x² +x -4)
Maybe it was (7-2x)/-4+2<-x then times 4 both sides
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-7+2x+8<-4x
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2x+1<-4x
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6x+1<0
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6x<-1
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x<-1/6
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there we go
72+k is equal to 180. So if you set up a equation if looks like:
72+k=180
Subtract 72 from both sides
K=108°
Your answer is 108°
Answer:
The expression
does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression
represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.


Since 1.12 is greater than 1.016, therefore, the expression
does not represent a percent increase greater than 12%.
We can rewrite
as:

Let us convert
to percent by multiplying by 100.

Since 1.6% is less than 12%, therefore, the expression
does not represent a percent increase greater than 12%.
Answer:
x = 
x = -1
Step-by-step explanation:
The given equation is,
-2(bx - 5) = 16
Dividing by (-2) on both sides of the equation,

(bx - 5) = -8
By adding 5 on both the sides of the equation,
(bx - 5) + 5 = -8 + 5
bx = -3
Dividing by 'b' on both the sides of the equation,

x = 
If b = 3,
x = 
x = -1