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A portrait without its frame has a height 1.5 times its width w, in inches. The width of the frame is 3 inches. Which of the following is an expression for the area of the framed portrait in terms of w

Answers

Answer 1

Answer:

Answer:

Area = $1.5w^2+15w+36$

Step-by-step explanation:

Let the width of portrait be 'w'

Given:

Height of portrait without frame (h) = 1.5 times its width = $1.5w$

Width of the frame is 3 inches on all sides.

Area of the framed portrait is the total area of the portrait plus the area of the frame.

The figure representing the above scenario is shown below.

From the figure, area of rectangle ABCD is the area of the framed portrait.

From the figure,

AB = $3 + w + 3 = w + 6$

BC = $3 + h + 3 = h + 6 = 1.5w + 6$

Now, area of the rectangle ABCD is given as the product of the length AB and width BC. Therefore,

$Area=AB* BC\n\nArea=(w+6)(1.5w+6)\n\nArea=(w* 1.5w)+(w* 6)+(6* 1.5w)+(6* 6)\n\nArea=1.5w^2+6w+9w+36\n\nArea=1.5w^2+15w+36$

Therefore, the expression for the area of the framed portrait in terms of the width 'w' is given as:

Area = $1.5w^2+15w+36$

Answer 2

Answer:

The area of the portrait without the frame will be $A=13.5=1.5w^2$ .

Given information:

A portrait without its frame has a height 1.5 times its width w, in inches.

The width of the frame is 3 inches.

Length of the frame will be,

$l=1.5w\nl=1.5* 3\nl=4.5$

So, the area of portrait without frame will be,

$A=l* w\nA=1.5w* w\nA=1.5w^2\nA=1.5* 9=13.5=1.5w^2$

Therefore, the area of the portrait without the frame will be $A=13.5=1.5w^2$ .

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I dont know this please any help would be nice

Answers

Answer:

C. Dependent

Explanation:

When events are independent the probability of one does not depend on the other.

Here the probability of liking peas overall is 39%, but the probability of liking peas if you're male is 42%. That is, the probabilities are not the same, so the events are dependent.

_____

Comment on answer choices

Selections B and C are both "Dependent," so are correct in that aspect. However, the "reason" given for B has a bogus number (54%) for males liking peas. We have no idea where that number came from. C has the correct reason, so is the appropriate selection.

F(x)=5x2−3x−1 and g(x)=2x2−x+3f(x)+g(x)=
Question 18 options:

3x2−4x−4

3x2−2x−4

7x2+4x+3

7x2−4x+2

Answers

Answer:

f(x) + g(x) = 7x² - 4x + 2

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 5x² - 3x - 1

g(x) = 2x² - x + 3

Step 2: Find f(x) + g(x)

Substitute: f(x) + g(x) = 5x² - 3x - 1 + 2x² - x + 3
Combine like terms (x²): f(x) + g(x) = 7x² - 3x - 1 - x + 3
Combine like terms (x): f(x) + g(x) = 7x² - 4x - 1 + 3
Combine like terms (Z): f(x) + g(x) = 7x² - 4x + 2

Molly is at the Ice Cream Store. To get there, she went 1 unit right and 7 units down. Which location did Molly start from?

Answers

Answer:

To get to the ice cream store, Molly went 1 unit right and 7 units down. This means that she moved 1 unit to the right from her original position and 7 units down from her original position.

So, to find Molly's starting position, we need to move 1 unit to the left from the ice cream store and 7 units up from the ice cream store.

Therefore, Molly started from a location that is 1 unit to the left and 7 units up from the Ice Cream Store.

Step-by-step explanation:

What is the product? 2x+8 x2 + 3x-4 x(x-4)(x-1) 20x+4) 2 (x+4)(x-4) 2x(x-1) 2x(x+4)

Answers

The products of the given expressions are:

$(2x + 8) * (x^2 + 3x - 4) = 2x^3 + 14x^2 + 16x - 32\n(x - 4)(x - 1)(20x + 4) = 20x^3 - 96x^2 + 60x + 16\n2(x + 4)(x - 4) = 2x^2 - 32\n2x(x - 1) = 2x^2 - 2x\n2x(x + 4) = 2x^2 + 8x$

Here, we have to find the product of the expressions given,

let's multiply them step by step:

$(2x + 8) * (x^2 + 3x - 4):$

First, apply the distributive property:

$(2x + 8) * x^2 = 2x^3 + 8x^2\n(2x + 8) * 3x = 6x^2 + 24x\n(2x + 8) * (-4) = -8x - 32$

Now, add the results:

Product of (2x + 8) and $(x^2 + 3x - 4) = 2x^3 + 8x^2 + 6x^2 + 24x - 8x - 32$

Combine like terms:

Product = $2x^3 + (8x^2 + 6x^2) + (24x - 8x) - 32$

Product = $2x^3 + 14x^2 + 16x - 32$

(x - 4)(x - 1)(20x + 4):

First, apply the distributive property:

$(x - 4)(x - 1) = x^2 - x - 4x + 4 = x^2 - 5x + 4$

Now, multiply the result with (20x + 4):

$(x^2 - 5x + 4)(20x + 4) = 20x^3 + 4x^2 - 100x^2 - 20x + 80x + 16$

Combine like terms:

Product = $20x^3 + (4x^2 - 100x^2) + (-20x + 80x) + 16$

Product = $20x^3 - 96x^2 + 60x + 16$

2(x + 4)(x - 4):

First, apply the distributive property:

2(x + 4) = 2x + 8

Now, multiply the result with (x - 4):

$(2x + 8)(x - 4) = 2x^2 + 8x - 8x - 32$

Combine like terms:

Product = $2x^2 + (8x - 8x) - 32$

Product = $2x^2 - 32$

2x(x - 1):

Apply the distributive property:

$2x * x = 2x^2$

2x * (-1) = -2x

Combine the terms:

Product = $2x^2 - 2x$

2x(x + 4):

Apply the distributive property:

$2x * x = 2x^2$

2x * 4 = 8x

Combine the terms:

Product = $2x^2 + 8x$

So, the products of the given expressions are:

$(2x + 8) * (x^2 + 3x - 4) = 2x^3 + 14x^2 + 16x - 32\n(x - 4)(x - 1)(20x + 4) = 20x^3 - 96x^2 + 60x + 16\n2(x + 4)(x - 4) = 2x^2 - 32\n2x(x - 1) = 2x^2 - 2x\n2x(x + 4) = 2x^2 + 8x$

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=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2

step by step

(2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x(x+4)

=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x+4)

=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x)+((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(4)

=−640x10+3840x9+4544x8−58904x7+91128x6−40608x5+128x4+512x3−2560x9+15360x8+18176x7−235616x6+364512x5−162432x4+512x3+2048x2

=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2

Which type of graph would allow us to Quickly see how many months between 100 and 200 student were treated