Which of the following represents a function?

Answer:

[tex]y = 2(0.5) {}^{x} [/tex]

Step-by-step explanation:

Use the general formula of exponential equation

[tex]y = ab {}^{x} [/tex]

Plug 0,2 into the function

[tex] - 2 = ab {}^{0} [/tex]

[tex] - 2 = a \times 1[/tex]

[tex]a = - 2[/tex]

[tex]y = - 2b {}^{x} [/tex]

[tex] - 4 = - 2b {}^{ - 1} [/tex]

[tex]2 = b {}^{ - 1} [/tex]

[tex] {2}^{ \frac{ 1}{ - 1} } [/tex]

[tex]2 {}^{ - 1} = 0.5[/tex]

B=0.5

[tex]y = 2(0.5) {}^{x} [/tex]

It would be c, (1, 0)

Answer:

C. L'(1, 0)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The x-value in the y-intercept must be zero. This is because the y-intercept is where a line or function intersects with the y-axis. All points on the y-axis have an x-value of 0. Therefore, all y-intercepts will have an x-value of 0 and look like (0,b).

Answer: x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by  linear function y=ax+b we find coordinates of the point A represent x intercept  using value for the second coordinate y=0 then return this value to linear function

0=ax+b       subtract b from both sides

-b     -b

-b=ax          divide by a which id different then 0

-b/a=x

X-itercept is a point A(-b/a, 0)

For y intercept point B (x.y) our first coordinate x=0, return this value to the linear function y=ax+b

y=a*0+b  

Y=0+b

y=b

y intercept is a point B(0,b)

For the special types of linear equations:

1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)

2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.

3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).

4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines

Step-by-step explanation:     Example y=2x+6. For x intercept  y=0, return to linear function and in the place oy poot its value  

               0=2x+6    subtract  6

              -6      -6

              -6=2x          divide by 2

              -3=x                                                                                                      

X intercept points is a point A(-3,0)                                                                                                                        

For the y intercept point B(x,y)  x=0, return to linear function and in the place of x poot its value

              y=2x+6

              y=2*0+6

              y=0+6

              y=6

x intercept is a point B(0,6).

Answer:

58%

Step-by-step explanation:

Given the exponential relation :

Y=52(0.42)^x

Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;

. General form of a exponential function :

y = A(1 - r)^x ; r = Decay rate

Comparing the general equation with the equation given ;

The percentage rate of decrease is obtained thus :

1 - r = 0.42

1 - 0.42 = r

r = 0.58

Rate = 0.58 * 100%

Rate = 58%

Answer: A

Step-by-step explanation:

Here is my answer. I hope this is helpful.

Answer:

2,304

Step-by-step explanation:

4x8x12

4x8=32

32x12=384

384x6=2,304

12b² - 27 = 0 / : 3

4b² - 9 = 0

4b² = 9 / : 4

b² = 2,25

b = 1,5 and b = -1,5

Answer:

180-124-33=23

Answer:

3s+2p= $120

each shirt is $15

3(15)+2p= $120

45+p=120

p= $75

each pair of pants is $75 and each shirt is $15

3s+2p= $120

3(15)+ 2(75)

okay, this is wrong, never mind, im confused-

welp ._.

Step-by-step explanation:

he doesnt add the pants to the equation and he finds the value of the shirts when we already know that value.

Answer:

120

Step-by-step explanation:

TQR = 180 - (35+25) = 120

TQP= 180-120=60

TNP=TQP =60

MNT= 180-60=120

Answer:

18

Step-by-step explanation:

Answer:

Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.

Does that make sense?

Step-by-step explanation:

Answer:

126 miles

Step-by-step explanation:

If I remember right, you'll have to multiply 30 by 4.2 and get 126 miles since each hour is 30 miles.

Answer:

y=4

Step-by-step explanation:

3(9) +4y= 43

27+4y=43

4y=16

y=4

Answer:

I have made it in above picture

Answer:

60

Step-by-step explanation:

Answer:

The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.

Step-by-step explanation:

The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.

Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.

Answer:

No, it is not a right triangle.

Step-by-step explanation:

If the triangle was a right triangle, then the Pythagorean Theorem states that a^2 + b^2 = c^2. Let's test it on this triangle:

13^2 + 14^2 = 365, or c^2. If this is a right triangle, c should equal 15.

However, sqrt(365) = 19.1, which is not 15. So, the triangle is not a right triangle.

Answer:

26,400

Step-by-step explanation:

1) Find 5% of 22,000 by multiplying 22,000 by .05. You should get 1100.

2) Multiply that by 4. (4400)

3) Now add that to the original.

Answer:

find the dirivitev

Step-by-step explanation:

Answer:

2b + 2c

35h + 15m

ef + eg

Step-by-step explanation:

you just individually multiply everything inside the parentheses by the number on the outside.

Answer:36

Step-by-step explanation:it just is

Answer:

y=1/2x-7/2

Step-by-step explanation:

Since the line is parallel, we know that the slope is the same as the equation given: 1/2. So you just plug in the coordinates for x and y. So it would be -2=1/2(3)+b because we don't know what the intercept is for this line. If you simplify the equation you'll get -2=1.5+b. Then, you must isolate B, so you would get -3.5=b or -7/2.

Answer

x + 7.

Step-by-step explanation:

The answer is X + 7 because you know, 8x + 13 and if 7x - 9 we're solded. We remove 7x at 8x so at least we have only one x and we remove 9 than 16 so we have 7. That's why the reply is x + 7. Sorry if I wasn't clear, I am not really good at english.

Answer:

False; True; True

Step-by-step explanation:

If the radius is 4, the area of the circle is

pi*r*r = pi * 4 * 4 = 16pi; The second statement is true.

The entire circle's "angle" is 2pi, so the sector takes (2pi/3) / 2pi of it all, equal to 1/3 of the entire circle - hence the area of the sector is

16pi * 1/3 = 16pi/3; the first statement is false

The length of the entire circle is 2 * pi * r = 2 * pi * 4 = 8pi

The sector is 1/3 of that, so 8pi/3; the third statement is true.

Answer:

Y = 3

X = 2

Step-by-step explanation:

(6x2) = 12

(8x3) = 24

12 + 24 = 36

(6x2) = 12

(5x3) = 15

12 + 15 = 27

Answer: 34

Hope this helps :)

Answer:

C. 262 cm

Step-by-step explanation:

Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

Since the diameter is 10 cm, the radius will be 5 cm

Plug in the radius into the formula:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)

V = 523.6

Since the bowl is a hemisphere, divide this by 2:

523.6/2

= 261.8

Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.

So, the correct answer is C. 262 cm