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3 years ago

Evaluate the expression 12-3y÷2+y(2y-4÷y) for y=3

Mathematics

2 answers:

ehidna [41]3 years ago

8 0

Answer:

12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) = 21.51.

Step-by-step explanation:

Here, the given expression is:

12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y )

Now, we need to evaluate the given expression for y = 3

12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) by the rule of BODMAS

12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) = 12 - 3(3) ÷ 2 + 3(2(3) -4 ÷ 3)

= 12 - 9 ÷ 2 + 3( 6 - 4 ÷ 3)

= 12 - <u>9</u><u> ÷ 2</u> + 3( 6 - <u>4 ÷ </u><u>3</u>)

= 12 - <u>4.5</u> + 3( 6 - <u>1.33</u>)

= 7.5 + 3(4.67)

= 7.5 + 14.01

= 21.51

So, 12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) for y = 3 is 21.51.

Ber [7]3 years ago

3 0

Answer: -.2

Step-by-step explanation: you plug in 3 where every y is. You get 12-9 divided by 2 plus 3 times 6 minus 4/3 or 4/2 + 3(6-4/3)

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Find the integral of this problem

balu736 [363]

So, the anti derivative= x^2 -.8x +C. Ignore C.
Plug in 2= 4-(2)(.8)=2.4
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3 years ago

PLEASE ANSWER THESE I RLLY NEED HELP I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWRR CORRECTLY PLS AND TY

faust18 [17]

Answer:

Step-by-step explanation:

5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.

You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.

Use the coordinates of the points to determine the slope of the line.

slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3

The slope-intercept equation of the line is y = 3x+1

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7 0

2 years ago

1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in

olga_2 [115]

<u>Given:</u>

It is given that the ridge is 360 inches tall.

<u>Assumptions:</u>

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is $360+67 = 427$ inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

<u>To find the distance from you to your dog.</u>

<u>Solution:</u>

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

$cos \theta = \frac{adjacent side}{hypotenuse} .$

$cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.$

$x=\frac{427}{0.5} = 854.$

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

3 0

3 years ago

The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP

Serhud [2]

Answer:

<h2> $length = \frac{25}{28}$ </h2>

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

<h3> $length = \frac{area}{width}$ </h3>

So we have

<h3> $length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4}$ </h3>

We have the final answer as

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8 0

2 years ago

Slope -2/3 .x-intercept at 3 written in y=mx+b

siniylev [52]

Given the slope, m = -2/3, and the x-intercept, (3,0):

Use these values and plug into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

0 = -2/3(3) + b

0 = -2 + b

Add 2 to both sides to isolate b:

0 + 2 = -2 + 2 + b

2 = b

Now that we have our slope, m = -2/3, and the y-intercept, 2

The linear equation in slope-intercept form is:

y = -2/3x + 2

Please Mark my answers as the Brainliest, if you find this helpful :)

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3 years ago