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Hoochie [10]
3 years ago
15

Identify the domain of the function shown in the graph.

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

A x >= 0

Step-by-step explanation:

a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").

so, y = f(x)

and (x,y) are then usually the coordinates on the grid.

the domain is the range or interval of numbers the function is using (x) to create results (y).

so, look at the graph !

for what values of x do you see the functional line drawn ?

that means, the functional line goes along only what part of the x-axis ?

I see it starts at x=0 and then continues all the way to the right and clearly further.

for me that means f(x) calculates values for every positive x we can think of. and including 0.

it does not do anything for any negative x-values.

so, clearly answer A (x>=0) is right.

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*GEOMETRY*please help me find the surface area of the solid along with the volume of it step by step!
Serjik [45]

Surface area of the solid = 7.1781 in²

Volume of the solid = 0.804 in³

Explanation:

Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder

surface area of a square prism = 2(lw + lh + wh)

l = length = 1 in

w = length = 1 in

h = height = 1 in

\begin{gathered} \text{Surface area = 2(1}\times1\text{ + 1}\times1\text{ + 1}\times1) \\ \text{Surface area = 2(1 + 1 + 1) = 2(3)} \\ \text{Surface area = 6 in }^2 \end{gathered}

using the value π as it is on the calculator

Base area of a cylinder = πr²

2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927

Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708

Surface area of the solid = 6 - 0.3927 + 1.5708

Surface area of the solid = 7.178 in²

Volume of the solid = Volume of the square prism - volume of the cylinder

Volume of square prism = length × width × height

length = 1 in, width = 1 in, height = 1 in

Volume of the solid = 1 in × 1 in × 1 in = 1 in³

Volume of a cylinder = πr²h

Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196

Volume of the solid = 1 - 0.196

Volume of the solid = 0.804 in³

4 0
2 years ago
How is sample related to a population?
allochka39001 [22]

Answer:

A "sample" from a population is a small group of poeple chosen, such as 200 people is a sample of people chosen from a total of 5000

5 0
3 years ago
Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.
algol [13]

Answer:

y = 2x + 1 ;

y - 3 = - 3(x - 1) ; y = - 3x + 6 ;

Independent ;

(1, 3)

Step-by-step explanation:

Given the data:

Sidewalk 1:

x __ y

2 _ 5

0 _ 1

Sidewalk 2:

x __ y

1 _ 3

3 _ -3

Equation for sidewalk 1 in slope - intercept form:

Slope intercept form:

y = mx + c

c = intercept ; m = slope

m = (change in y / change in x)

m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2

Y intercept ; value of y when x = 0

(0, 1) ; y = 1

Hence, c = 1

y = 2x + 1

Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.

Using substitution method :

y = 2x + 1 - - - (1)

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

2x + 3x = 6 - 1

5x = 5

x = 1

From (1)

y = 2(1) + 1

y = 2 + 1

y = 3

Coordinate of the point of intersection = (1, 3)

5 0
3 years ago
Combine like terms<br> 1.5x + 3y + 5 + 4x + 3y + y + 8
Komok [63]

Answer:

9x+7y+13

Step-by-step explanation:

add all the x's, y's, and no exponents together

5 0
3 years ago
Some help me please i have 9 questions
Lyrx [107]

awnser:

m<3=50

Step-by-step explanation:

seen in the picture if you need help let me know

5 0
3 years ago
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