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Zielflug [23.3K]
3 years ago
5

Graph the function. Then State the domain and range. Also increasing and decreasing​

Mathematics
2 answers:
daser333 [38]3 years ago
8 0

Answer:

First function: domain: [-9,\infty)[−9,∞) , range: (-\infty, -2](−∞,−2] , decreasing

Second function: domain: (-\infty, \infty)(−∞,∞) , range: (-\infty, \infty)(−∞,∞) , increasing

Third function: domain: [3, \infty)[3,∞) , range: [-5,\infty)[−5,∞) , increasing

masha68 [24]3 years ago
4 0

Answer:

See below, I will let graphing part to yourself.

Step-by-step explanation:

First function: domain: [-9,\infty), range: (-\infty, -2], decreasing

Second function: domain: (-\infty, \infty), range: (-\infty, \infty), increasing

Third function: domain: [3, \infty), range: [-5,\infty), increasing

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Holly made 12 pair of earrings for each of her girlfriends. To wrap the pairs individually, she creates a simple cardboard gift
Mekhanik [1.2K]

Answer:

3280cm²

Step-by-step explanation:

We are told the gift box is folded into a Pyramid with a square base.

Hence, we are to find the Surface Area of a square pyramid

From the question, we are given:

Length of the base of the square = 10cm

Triangle

Side length = 10cm

Height = 8 2/3 cm

A square Pyramid has 5 faces: 4 triangles and 1 square.

Step 1

Find the Area of the square

Formula = Side length² this is because all the side of a square is equal.

Length of the base = 10cm

Area of the square = (10cm)²

= 100cm²

Step 2

Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.

Hence, for one triangle.

Area of a triangle = 1/2 × base × height

Base = side length = 10cm

Height = 8 2/3 = 8.6666666667cm

Area of a triangle = 1/2 × 10 × 8.6666666667

Area of a triangle = 43.333333333cm²

Since we have 4 triangles

We would have : 4 × 43.333333333cm²

= 173.33333333cm²

The Area of the 4 equilateral triangles =

173.33333333cm²

Step 3

The Surface area of the Square Pyramid

= Sum of the areas of all the faces.

= 100cm² + 173.33333333cm²

= 273.33333333cm²

Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²

Step 4

The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²

= 3280cm²

7 0
3 years ago
PLEASE ANSWER QUICK<br><br> THANK YOU
Lesechka [4]

Answer:

D)-3x+5

Step-by-step explanation:

Hope this helps ;)

4 0
3 years ago
Read 2 more answers
A 2?-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles.
navik [9.2K]

Answer: A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.

Step-by-step explanation:

Since we have given that

Radius of inner circle = 57 ft

As we know the formula for "Circumference of circle":

Distance=Circumference=2\pi r\\\\Distance=2\times \frac{22}{7}\times 57\\\\Distance=358.28\ Ft

Since we have also mentioned that there is 2 feet wide circular track for a camera dolly.

So, Radius of outer circle will be given as

57+2\\=59\ ft

So, Distance = Circumference is given by

Distance=2\pi R\\\\Distance=2\times \frac{22}{7}\times 59\\\\Distance=370.85\ ft

Hence, Difference between the outer rail travel than a wheel on the inner rail travel is given by

370.85-358.28\\\\=12.57\ ft

Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.

7 0
3 years ago
Evaluate the expression for the given values of the variables.
Dahasolnce [82]
4(2m-n)-3(2m-n)

4(2(-15)- -18)-3(2(-15)- -18)
4(-30- -18)-3(-30- -18)
4(-12) -3(-12)
-48- -36
-12

The answer is C
4 0
3 years ago
What is the inverse<br> he function g(x) = 5(x-2)
Nataliya [291]

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=5x+2 f - 1 ( x ) = 5 x + 2 is the inverse of f(x)=5x−2 f ( x ) = 5 x - 2 .

Step-by-step explanation:

6 0
3 years ago
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