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charle [14.2K]
3 years ago
6

I need help fast!!!!

Mathematics
2 answers:
Elena L [17]3 years ago
6 0
3q+21c

q=7

If this helped please give stars and a thanks ^.^ much appreciated!
NNADVOKAT [17]3 years ago
5 0
Apply the distributive property.<span><span><span><span>3⋅2</span>+<span>3q</span></span>+15</span><span><span><span>3⋅2</span>+<span>3⁢q</span></span>+15</span></span>Multiply <span>33</span> by <span>22</span> to get <span>66</span>.<span><span><span>6+<span>3q</span></span>+15</span><span><span>6+<span>3⁢q</span></span>+15</span></span>Add <span>66</span> and <span>1515</span> to get <span>2121</span>.<span><span>3q</span>+<span>21</span></span>
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Find all real zeros of 4x^3-20x+16
Pani-rosa [81]

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.

___

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.

__

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.

_____

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.

__

The given expression factors as ...

  4(x -1)(x² +x -4)

5 0
3 years ago
Read 2 more answers
What is the value of x in the inequality 7 minus 2x/ -4 + 2 &lt; -x?
Fantom [35]
Maybe it was (7-2x)/-4+2<-x then times 4 both sides <span> </span> -7+2x+8<-4x <span> </span> 2x+1<-4x <span> </span> 6x+1<0 <span> </span> 6x<-1 <span> </span> x<-1/6 <span> </span> there we go
8 0
3 years ago
Determine value of k
Ipatiy [6.2K]
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°
3 0
3 years ago
Does the expression 1.016x represent a percent increase greater than 12% if the original amount is x? How could I rewrite the ex
GrogVix [38]

Answer:

The expression 1.016x does not represent a percent increase greater than 12%.

Step-by-step explanation:

We are asked to find whether the expression 1.016x 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.

\text{12 percent increase}=x+\frac{12}{100}x

\text{12 percent increase}=x+0.12x    

\text{12 percent increase}=1.12x

Since 1.12 is greater than 1.016, therefore, the expression 1.016x does not represent a percent increase greater than 12%.

We can rewrite 1.016x as:

1.016x=1x+0.016x=x+0.016x

Let us convert 0.016 to percent by multiplying by 100.

0.016\times 100\%=1.6\%

Since 1.6% is less than 12%, therefore, the expression 1.016x does not represent a percent increase greater than 12%.

4 0
3 years ago
help this is hard Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s
Nesterboy [21]

Answer:

x = -\frac{3}{b}

x = -1

Step-by-step explanation:

The given equation is,

-2(bx - 5) = 16

Dividing by (-2) on both sides of the equation,

\frac{-2(bx-5)}{(-2)}=\frac{16}{(-2)}

(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,

\frac{bx}{b}=\frac{-3}{b}

x = -\frac{3}{b}

If b = 3,

x = -\frac{3}{3}

x = -1

6 0
3 years ago
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