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Kruka [31]
4 years ago
6

Which two values of x are roots of the polynomial below 4x^2-6x+1

Mathematics
1 answer:
marysya [2.9K]4 years ago
7 0
\large\begin{array}{I} \mathtt{ Use~ the~formula,~ x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a} } \end{array}

\large\begin{array}{I} \mathtt{ x= \dfrac{6 \pm \sqrt{(-6)^2-4 \times 4 \times 1}}{2 \times 4}= \dfrac{3+ \sqrt5}{4},~\dfrac{3- \sqrt5}{4} } \end{array}
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Simplify (8x^3-5x-1)-(7x^2+6x-10)
irakobra [83]

Answer:

8x^3-7x^2-11x+9

Step-by-step explanation:

(8x^3-5x-1)-(7x^2+6x-10)

remove unnesasary ( )

8x^3-5x-1 -(7x^2+6x-10)

the distribute

8x^3-5x-1 -7x^2-6x+10

combine like terms

8x^3-11x+9-7x^2

use the communative property to reorder the equation

8x^3-7x^2-11x+9

4 0
3 years ago
Twelve people are given two identical speakers, which they are asked to listen to for differences, if any. Suppose that these pe
ruslelena [56]

Answer:

0.0537

Step-by-step explanation:

This follows a binomial distribution with : n

Number of trials 'N' = 12 ; Probability of success (difference between speakers) 'p' = 1/2 or 0.5 ; Probability of failure (no difference b/w speakers) = 1/2 or 0.5 ; No of success 'r' = 3

P (X = 3) = N C r. (p)^r.(q)^(n-r)\\

= 12C3 (0.5)^3 (0.5)^9

0.0537

7 0
3 years ago
What is the multiplicative inverse of c/d? Explain how a number is related to its multiplicative inverse.
Lana71 [14]

Answer:

\frac{d}{c}

Step-by-step explanation:

The multiplicative inverse of a number n is \frac{1}{n}

The product of the number and its multiplicative inverse = 1

n × \frac{1}{n} = 1

Thus the multiplicative inverse of \frac{c}{d} is

\frac{1}{\frac{c}{d} } = \frac{d}{c}

6 0
3 years ago
2 over 8 divided by 1 over 2 =
Illusion [34]
Answer: 1 over 2 (1/2)

Simplify 2 over 8 to get 1 over 4. Now you have 1 over 4 divided by 1 over 2. Whenever you divide with fractions you flip the fraction and multiply . So it becomes 1 over 4 multiplied by 2 over 1.

2/8 (divided by) 1/2
1/4 (divided by) 1/2
1/4 x 2/1
= 1/2
7 0
3 years ago
A 4:1 scale drawing of a bearing is shown on an A-size print. Using a ruler, you measure the inside diameter of the part on the
Pani-rosa [81]

Answer:

A. 6.0

Step-by-step explanation:

We have been given that the the inside diameter of the part on the paper is 1.50 inches.

We have been given that scale is 4:1 for actual size to drawing side.

\text{Scale}=\frac{\text{Actual size}}{\text{Map size}}=\frac{4}{1}

Upon substituting 1.50 in our given proportion, we will get:

\frac{\text{Actual size}}{1.50\text{ inches}}=\frac{4}{1}

\frac{\text{Actual size}}{1.50\text{inches}}\times 1.50\text{ inches}=\frac{4}{1}\times 1.50\text{ inches}

\text{Actual size}=4\times 1.50\text{ inches}

\text{Actual size}=6.0\text{ inches}

Therefore, the actual size is 6.0 inches and option A is the correct choice.

4 0
3 years ago
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