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3 years ago

PLEASE HELP ME!!!!!!

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

Answer:

50.24

Step-by-step explanation:

pi times r^2

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4. I need help with question in the attached picture!

Arisa [49]

ANSWER

D. 13

EXPLANATION

We have

$f(x) = \frac{2x + 1}{x - 4}$

To find

${f}^{ - 1} (3)$

means we want to find an x-value whose image is 3.

$\frac{2x + 1}{x - 4} = 3$

We cross multiply,

$2x + 1 = 3(x - 4)$

Expand:

$2x + 1 = 3x - 12$

Combine like terms,

$3x - 2x = 12 + 1$

$x = 13$

$\therefore{f}^{ - 1} (3)= 13$

4 0

3 years ago

Read 2 more answers

Find a polynomial function of degree 3 with 2, i, -i as zeros.

sergiy2304 [10]

Answer:

$p(x)= x^3-2x^2+x-2$

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if $\alpha , \ \beta \ \& \ \gamma$ are the zeros of the cubic polynomial , then ,

$\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)$

Here in place of the Greek letters , substitute 2,i and -i , we get ,

$\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)$

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

$\sf \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}$

Simplify using i = √-1 ,

$\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )$

Multiply by distribution ,

$\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)$

Simplify by opening the brackets ,

$\sf\longrightarrow p(x)= x^3+x-2x^2-2$

Rearrange ,

$\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}$

4 0

2 years ago

What does a ⊥ c the upside-down t mean? (this is from geometry)<br> Please help

Lilit [14]

The upside down t means that the two lines are perpendicular

3 0

3 years ago

Two fair dice are tossed.

poizon [28]

there are 6 possibilities on each dice. Therefore 6 x 6 = 36 possible outcomes.

What is the probability that the sum of the number of dots shown on the upper faces is equal to 7?

1,6 2,5 3,4 4,3 5,2 6,1 there are 6 possible ways to get 7

6/36 = 1/6 = .1666...

What is the probability that the sum of the number of dots shown on the upper faces is equal to 11?

5,6 6,5 there are 2 possible ways to get 11

2/36 = 1/18 = .0555...

What is the probability that you roll "doubles" that is, both dice have the same number on the upper face?

1,1 2,2 3,3 4,4 5,5 6,6 there are 6 possible ways to get doubles

6/36 = 1/6 = .1666...

What is the probability that both dice show an odd number?

1,1 1,3 1,5 3,1 3,3 3,5 5,1 5,3 5,5 there are 9 possible ways that both dice show an odd number

9/36 = 1/4 = .25

5 0

2 years ago

7.83mm= km (using the metric staircase)

maksim [4K]

Answer:

7.83 mm to km

7.83* 10^-6 or 7.83/10^6

0.00000783 km

5 0

3 years ago