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leonid [27]
3 years ago
15

Two roots of a 3-degree polynomial equation are 5 and -5. Which of the following cannot be the third root of the equation?

Mathematics
2 answers:
cricket20 [7]3 years ago
7 0

Answer:

5i and -5i

Step-by-step explanation:

Both of these would have to be in the equation for either of them to work, and as the problem already told us that there is only a 3rd root, neither will be our answer.

Have a great day, and feel free to comment with questions!

:)

Pavel [41]3 years ago
6 0

Answer:

5i and -5i

Step-by-step explanation:

Imaginary roots come in pairs, so the third root must be a real number.  Therefore, neither 5i nor -5i can be the third root.

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What is the GCF of 28ab and 42b?<br> 6b<br> 14b<br> 4b<br> 7b<br> NEED ASAP
grigory [225]

Answer:

14b

Step-by-step explanation:

Here, we want to get the greatest common factor of the two terms

The greatest common factor can be obtained by finding the expression that factor the given expression

We have this as;

14b(2a + 3)

So the greatest common factor is 14b

3 0
3 years ago
On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line
NikAS [45]

Answer:

the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{2-(-4)}{4-(-2)} = 1

Now, using slope intercept form (y = mx+c) of a line, we can write the equation of line parallel to AB:

y =(1)x+c \Rightarrow y = x+c

Now, putting the point P(0,4) to find c:

4 = 0 +c \Rightarrow c = 4

So, the equation is \bold{y=x+4}

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

8 0
2 years ago
Read 2 more answers
Help me please. I am having troubles with my math homework.
jeyben [28]

Answer: (3) f(8) = g(8)

<u>Step-by-step explanation:</u>

Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4

<u>      f(x)       </u>                      <u>      g(x)        </u>            <u>Comparison</u>

f(x) = 2x - 3                     g(x)=\dfrac{3}{2}x+1

f(0) = 2(0) - 3                     g(0)=\dfrac{3}{2}(0)+1

      = -3                                   = 1                     f(0) < g(0)

f(2) = 2(2) - 3                     g(2)=\dfrac{3}{2}(2)+1

     = 1                                      = 4                     f(2) < g(2)

f(8) = 2(8) - 3                     g(8)=\dfrac{3}{2}(8)+1

     = 13                                   = 13                     f(8) = g(8)

f(4) = 2(4) - 3                     g(4)=\dfrac{3}{2}(4)+1

      = 5                                   = 7                       f(4) < g(4)


The only statement provided that is true is f(8) = g(8)




3 0
2 years ago
Chelsea made monthly payments for four years before her $13,440 loan was paid off. The loan had an interest rate of 5.86%, compo
lana [24]
Given:
PV = 13,440
i = 5.86% , compounded monthly
t = 4 years

13,440(0.0586/12))/(1-(1+0.0586/12)^-48= 15,109.44 
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15,266.04 - 13,440.00 =  1,826.04 
<span>1,826.04/15,266.04 = 11.96 % Percentage total of Finance Charge of the total loa</span>
6 0
3 years ago
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LeBron goes to the store with six dollars and buys four packs of gum. James goes to the store with five dollars and buys two pac
lilavasa [31]
G = the cost of one pack of gum
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James : 5 - 2g

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6 - 4g + 5 - 2g = 11 - 6g
7 0
3 years ago
Read 2 more answers
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