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Ratling [72]
3 years ago
12

Consider the quadratic equation ax^2+bx+5=0, where a, b, and c are rational and the quadratic has two didstinct zeros if one zor

e is irrational, the other zero is
Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

It can either be rational or irrational

Step-by-step explanation:

Given the quadratic equation ax²+bx+5 = 0, to get the zeros of the function, we will factorize the function to have;

ax²+bx = -5

x(ax+b) = -5

x = -5 and ax+b = -5

From the second function we have;

ax+b = -5

ax = -5-b

x = -5-b/a

This shows that the other value of x can be rational or irrational depending on the values of a and b

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact
umka2103 [35]

Solution:

The permutation formula is expressed as

\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\  \end{gathered}

The combination formula is expressed as

\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\  \\  \end{gathered}

where

\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}

Given that 6 objects are taken at a time from 8, this implies that

\begin{gathered} n=8 \\ r=6 \end{gathered}

Thus,

Number of permuations:

\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}

Number of combinations:

\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}

Hence, there are 28 combinations and 20160 permutations.

7 0
1 year ago
LAST ONE!! (:
joja [24]
First you find how much the shape has dilated. To d ok that you divide the size of the size already given to you from the bigger shape from the same did if the smaller shape. So 58÷6=9.7. The shape grew by 9.7. To find x you use the similar side of the other shape again and multiy that size by 9.7. So 9.7×3=29.1

x=29.1
4 0
3 years ago
Alexia took out a 12-year loan for $72000 to renovate her home. If her monthly payments are $680, what is the interest rate?
mart [117]

Answer:

intrest equation

I/PT = R

$680 / $72,000 x 12 years = R

$680 / $864,000 = R

7.8703 = R

or rounded 8%

Step-by-step explanation:

3 0
4 years ago
Please help !!
Maurinko [17]
Answer: The number of ceral boxes per day.

Because the slope will be [rise of the grah of the model function] / [run of the graph of the model function].

rise = [increase in the number of cereal boxes sold]

run = [days elapsed ]

rise / run = number of cereal boxes sold per day


8 0
3 years ago
Read 2 more answers
I need help on this question plz and thanku
77julia77 [94]

Answer:

42 cm cubed

Step-by-step explanation:

6x4x4 to find volume of 96 when it is filled.

3x3x6 = 54 to find out what is cut out.

96-54 = 42 cm cubed.

5 0
3 years ago
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