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2 years ago

Make a conjecture: How many solutions does a quartic equation x4 + ax3 + bx2 + cx + d = 0 have? Explain.

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

5 0

Answer:

It has 4 solutions

Step-by-step explanation:

Quartic equations are simply defined as polynomials that have a degree of four.

Therefore, it will have four roots. These 4 roots are complex roots because they may have real and imaginary solutions. I said it may have real and imaginary roots because it's not every quartic equation that will have four real roots because for example, it could have real roots of maybe 0, 1, 2, 3, 4 and also imaginary roots to make it four roots in total.

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For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, explain.

VashaNatasha [74]

you have to multiply by -3

so the answers are going to be one negative one positive

and the next 5th terms are 108,-324,972,-2916,8748

7 0

3 years ago

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Pablo’s goal is to walk a total of 1034

Free_Kalibri [48]

Answer:

Step-by-step explanation:

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2 years ago

The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.

I am Lyosha [343]

Answer:

w = $\frac{p -2l}{2}$

Step-by-step explanation:

p = 2l + 2w Subtract 2l from both sides of the equation

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1 year ago

Consider the line y = 1/4 - 5/4 x<br> Slope of a parallel line<br> Slope of a perpendicular line

gladu [14]

Answer:

parallel line slop2 = -5/4

perpendicular line slope = 4/5

Step-by-step explanation:

If 2 lines are parallel, they will have equal slopes.

Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4

If 2 lines are perpendicular, their slopes are negative reciprocals of each other. So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5

7 0

2 years ago

Simplify the complex fraction.

lilavasa [31]

Given:

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}$

To find:

The simplified fraction.

Solution:

Step 1: Simplify the numerator

$$\frac{(4 r)^{3}}{15 t^{4}}=\frac{4^3 r^{3}}{15 t^{4}}=\frac{64 r^{3}}{15 t^{4}}$

Step 2: Simplify the denominator

$$\frac{16 r}{(3 t)^{2}}=\frac{16 r}{3^2 t^{2}}= \frac{16 r}{9 t^{2}}$

Step 3: Using step 1 and step 2

$$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}=\frac{\left(\frac{64 r^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{9 t^{2}} \right)}$