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3 years ago

Which Of the following is the solution to 4|x+3|>8?

1 answer:

5 0

Too bad you haven't shared illustrations of the possible solutions.

Starting with 4|x+3|>8, div. both sides by 4: |x+3|>2

Case 1: x+3 is already positive: then x+3>2, or x > -1

Case 2: x+3 is negative: Then -(x+3)>2, or -x - 3 > 2, or -5>x or x<-5

Draw a number line representing x values. Place empty circles at x = -5 and x = -1. Draw a vector from the circle at x = -1, to the right of x = -1. Draw a vector from the circle at x = - 5, to the left of x = -5. Note that x values between x = -5 and x = -1 are not solutions.

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The floor plan of a room has a scale of 2.5 in. : 35 ft. In the drawing, the length of the room is 8 in. and the width of the ro

Oksi-84 [34.3K]

Well if I did my math correctly I do believe the perimeter should be 392 ft.

6÷2.5= 2.4
2.4×35=84

8÷2.5= 3.2
3.2×35=112

84×2
112×2
_____
392

you mult. by 2 because it's a room which usually has four walls and I imagined it being a rectangle.

3 0

3 years ago

Read 2 more answers

Which equation best represents the line of best fit for the scatterplot?

Masja [62]

Answer:

The line of best fit would be the line in between all the points in the scatter plot that is the closest to having an equal amount of dots on each side.

If there isn't one with the exact number, pick the one that is the very closest.

8 0

3 years ago

In a standard deck of cards there 52 cards of which 26 are black and 26 are red. Additionally, there are 4 suits, hearts, clubs,

stich3 [128]

Using probability concepts, it is found that P(S and D) = 0.1275.

-----------------------

A probability is the number of desired outcomes divided by the number of desired outcomes.
In a standard deck, there are 52 cards.
Of those, 13 are spades, and 13 are diamond.

The probability of selecting a spade with the first card is 13/52. Then, there is a 13/51 probability of selecting a diamond with the second. The same is valid for diamond then space, which means that the probability is multiplied by 2. Thus, the desired probability is:

$P(S \cap D) = 2 \times \frac{13}{52} \times \frac{13}{51} = \frac{2\times 13 \times 13}{52 \times 51} = 0.1275$

Thus, P(S and D) = 0.1275.

A similar problem is given at brainly.com/question/12873219

7 0

2 years ago

Ms. Carson's art class made a large rectangular mural. The length of the mural is 9 feet, and it's area is 72 square feet. What

lorasvet [3.4K]

You do the reverse and divide the 2 values to find out the last one

72/9 = 8

Do you get it?

8 0

3 years ago

Read 2 more answers

Plssss help quick i need it for sum important

Vanyuwa [196]

(a) The product of $(2x-4)\ and\ (3x^2-x+4)$ is calculated to be $=6x^3-14x^2+12x-16$

(b)The product of $(2x-4) \ and\ (3x^2-x+4)\$ is not equal to the product of $(4x-2)\ and\ (3x^2-x+4)$

Step-by-step explanation:

(a)

$(2x-4)(3x^2-x+4)\\\\=(2x.3x^2)+(2x.-x)+(2x.4)+(-4.3x^2)+(-4.-x)+(-4.4)\\\\=6x^3-2x^2+8x-12x^2+4x-16\\\\=6x^3-14x^2+12x-16$

$(4x-2)(3x^2-x+4)\\\\=(4x.3x^2)+(4x.-x)+(4x.4)+(-2.3x^2)+(-2.-x)+(-2.4)\\\\=12x^3-4x^2+16x-6x^2+2x-8\\\\=12x^3-10x^2+18x-8$

The product of $(2x-4) \ and\ (3x^2-x+4)\$ is not equal to the product of $(4x-2)\ and\ (3x^2-x+4)$

7 0

3 years ago