MATHEMATICS COLLEGE

3 Which value of x satisfies the equation
5(2x - 9) + 3 =-

Answers

Answer 1

Answer:

Step-by-step explanation:

5(2x-9)+3

10x - 45 +3

10x - 42

x- 4.2

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At what x-values do the graphs of the functions y = cos 2x and y =3cos^2x-sin^2x intersect over the interval -pi

Answers

To find:

The x-values at the intersection of the graphs of two functions.

Solution:

Two functions are:

$y=\cos2x\text{ and }y=3\cos^2x-\sin^2x$

The functions are equal at the intersection. So,

$\cos2x=3\cos^2x-\sin^2x$

The solutions of the above equation are the x-values of the intersection.

$\begin{gathered} \cos2x=3\cos^2x-\sin^2x \n \cos^2x-\sin^2x=3\cos^2x-\sin^2x \n 2\cos^2x=0 \n \cos^2x=0 \n \cos x=0 \end{gathered}$

The solution to the above equation is:

$x=(\pi)/(2)+2\pi n\text{ and }x=(3\pi)/(2)+2\pi n$

It is given that x lies between -pi and pi. So, the value of n = 0 for the first solution and n = 1 for the second solution. Therefore,

$x=(\pi)/(2)\text{ and }x=-(\pi)/(2)$

Thus, options A and B are correct.

Help any tutor help

Answers

the slope is 4, the equation is in y= mx + b format. the m, or in this case 4, is the slope.

One number is 10 more than twice another. Their sum is 1. Find the numbers

Answers

Answer:

-3 and 4

Step-by-step explanation:

We can start naming the first number x

Hence, the second number would be 10+2x

Set up an equation.

10+2x+x=1

Combine like terms

10+3x=1

Subtract 10 from both sides

3x=-9

Divide both sides by 3.

x=-3

The first number is he first is -3.

Plug that into the expression for the second number.

10+2x

10+2(-3)

10-6

The two numbers are -3 and 4.

A bacteria culture is growing at a rate of r(t) = 7e^0.6t
thousand bacteria per hour after t hours. How much did the bacteria population increase during the first two hours? (Round your answer to three decimal places.)

Answers

Answer:

${ \bf{r(t) = 7e {}^(0.6t) }} \n { \tt{r(2) = 7 {e}^(0.6 * 2) }} \n = { \tt{7 {e}^(1.2) }} \n = 23.241 \: thiusand bacteria \: per \: hour$

23.2 bactéria that is growing I think

the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins

Answers

Answer:

here hope this helps please mark brainly

Step-by-step explanation:

Maria found the least common multiple of 6 and 15. Her work is shown below.Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .

Multiples of 15: 15, 30, 45, 60, . . .

The least common multiple is 60.

What is Maria’s error?

the answer is IDK