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3 years ago

-4x-10=2x+14 solve for x

Mathematics

2 answers:

natta225 [31]3 years ago

7 0

I did the math I think it’s 12

baherus [9]3 years ago

6 0

Step-by-step explanation:

$x = - 4 \\$

hope am right

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Which function has a range of y < 3? Oy=3(2) y=2(3)* y=-(2)* +3 O y= (2)* - 3

PolarNik [594]

Answer:

y=-(2)* +3 is the function that has a range of y < 3.

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4 years ago

A poster is to have an area of 240 in^2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. Find the exa

Vsevolod [243]

Answer:

4√10 inches wide by 6√10 inches tall

Step-by-step explanation:

"Poster area" problems have an interesting general solution. The "printed area" is maximized, or the "poster area" is minimized, when the ratio of poster dimensions is equal to the ratio of margin dimensions.

Here, the top/bottom margins total 3 inches, and the side/side margins total 2 inches. That is, the printed area will be maximized when the poster has a width : height aspect ratio of 2 : 3. If w represents the width, then the total area is ...

(w)(3/2w) = 240 . . . . square inches

w^2 = 160

w = √160 = 4√10 . . . . width in inches

Then the height is ...

height = (3/2)w = (3/2)(4√10) = 6√10 . . . . height, inches

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Graphical solution

A graphing calculator gives the same result for x=width. Poster width is about 12.649 inches (=4√10), and printed area is a maximum of about 170.1 square inches.

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Calculus solution

Let x represent the width of the poster. Then x-2 is the width of the printed area. The height of the poster will be 240/x, and the height of the printed area will be (240/x)-3. We want to maximize the printed area ...

a = (x -2)(240/x -3)

which means we want to find the value of x where the area derivative is zero.

a = 240 -480/x -3x +6

da/dx = 0 = 480/x^2 -3

Solving for x, we get ...

x^2 = 480/3 = 160

x = √160 = 4√10 . . . . . poster width, as above

3 0

3 years ago

Please Help!!! I really Need it! Please let me know if I am right for part A... I need help for part B too!

vlabodo [156]

You are correct for part A, good job! :D

As for part B, I believe the answers are function, nonlinear, and discrete.

Please let me know if I was wrong at any time. I hope this helps!!

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2 years ago

Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and sele

Sladkaya [172]

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

7 0

3 years ago

A square is circumscribed about a circle with an 8-inch radius, as shown below. What is the area, in square inches, of the regio

sladkih [1.3K]

Answer:

Option 4. 256 - 64π is the correct option.

Step-by-step explanation:

In the given picture a square is circumscribed about a circle with a side = 2r

where r is the radius of the circle.

Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²

Now area of the circle = πr² = π × 8² = 64π in²

Now area of region that is inside the square and outside the circle =

Area of square - area of circle = (256 - 64π) in².

Therefore the answer is (256 - 64π).

8 0

3 years ago