determine which of the following relations is a function.Xyxy-1010-32-55-1100025-5110-104O3-8-2124y-4-22346XOx01225y24267

To get the product we multiply.

[tex] = 5 \times y \\ = 5y[/tex]

Answer the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of 1/2

A linear equation can have the form

y = mx + b

The slope is m

The point-slope form is

(y- y1) = m(x -x1) (1)

the point (x1, y1) = (6, -3)

______________

Replacing in (1) the slope and the point (x1, y1)

(y- y1) = m(x -x1)

(y- (-3)) = 1/2(x -6)

y+3 = 1/2(x-6)

__________________

So, checking the options the correct answer is C

A.) y-6 = 1/2(x+3)

B.) y = 1/2x - 6

C.) y+3 = 1/2(x-6)

D.) y-2y = 12

Answer: 2

Step-by-step explanation:

The constant of proportionality is the same as the slope of the line. Using the slope formula with the points (0, 0) and (2, 4), [tex]\frac{4-0}{2-0}=2[/tex].

The rule of the slope of a line has 2 points is

A = (1, -2), B = (3, 4), C = (-2, 6)

We will take the altitude from A to the opposite side of BC

Then we will find the slope of BC first

x1 = 3 and y1 = 4. point B

x2 = -2 and y2 = 6. point C

We will substitute them in the rule above

The slope of BC = -2/5

Since the product of the slopes of the perpendicular line is -1, then if the slope of one is m, then the slope of the other will be -1/m, we reciprocal it and change its sign, then the slope of the altitude of BC should be 5/2

The form of the equation in point-slope is

y - y1 = m(x - x1)

m = 5/2

Since point A is lying on the altitude from A to BC, then

x1 = 1 and y1 = -2 point A

Substitute m and coordinates of point A in the form of the equation above

y - (-2) = 5/2 (x - 1)

The equation of the altitude from A to BC is

y + 2 = 5/2 (x - 1)

Let the number x.

Then the number divided by 2 gives

Subtract 3.8 from the quotient gives

Hence,

x = 21.6

Answer: According to the law of sines, we have the following:

Therefore, according to this, the answer is Option (B).

From the graph, the range of the function in the graph is; 0 ≤ M ≤ 6.5

The range of a function is the set of all possible output values for which the function still exists.

Now, from the graph, we can see that it is a linear graph that starts on the vertical axis with a coordinate of approximately (0, 1) which denotes 1 kg when the volume is 0 liters.

Now, we see that the line of the graph stops at the coordinate (7.5, 6.5) which denotes 6.5 kg when the volume is 7.5 liters.

Therefore the maximum mass is 6.5 kg while the minimum is 0 kg. Thus,;

Range; (0 ≤ M ≤ 6.5)

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image has the answers

The volume of a sphere is given by the following formula:

Where r is the radius of the sphere r=5.8m.

Replace this value and solve for V:

The volume of the sphere is 816.9 cubic meters.

Answer:

-3

Step-by-step explanation:

im assuming u want to find x

1. move all the numbers with x to the left side to make life easier

2. 5x-2x= 3x

3. 3-12= -9

4. you want the x to be solo

5. -9/3 = -3

A Linear expression is an algebraic expression that contains a variable to the power of one. 3 + y is an example.

A Coefficient is a rational number multiplied by a variable. A Rational Number is a number that can be written as the ratio, or fraction or intgers.

4 in the expresson 4x is an example of a coefficient.

Like Terms are terms whose variables and their exponent are the same. One example is 9y and -7y

Answer:

(a) 31 years

(b) 59 years

(c) 56 years

Step-by-step explanation:

In general, when reading a stem and leaf plot, we read firstly the number in the steam (middle) and then in the leaf.

Now, let's move on to the question:

(a) As we can see in the graph, the youngest actor has 31 years.

(b) The youngest actress is 21 years old and the oldest is 80.

So, the difference is 80 - 21 = 59 years.

(c) In this exercise, we have to look for actors who had the same age. That means, when evaluating the steam, we will have to find similar values in the leaf. The oldest age shared is 56 years.

If angle 5= 42° and angle 1 = 117°

angle CDF = angle 5 + angle 1

=42° + 117°

=159°

The coordinates of the other endpoint Q.=(2,0)

How to calculate the coordinates of the other endpoint Q ?

Given:

Midpoint = PQ = M(4,0)

One endpoint = P = [tex](x_1,y_1)[/tex]  = (6,0)

Other endpoint Q= [tex](x_2,y_2)[/tex]

We know that,

[tex]\text{Midpoint PQ}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\\\=(\frac{6+x_2}{2} ,\frac{0+y_2}{2} )=(4,0)\\\\= > \frac{6+x_2}{2} =4\\\\= > 6+x_2= 8\\\\= > x_2=2[/tex]

[tex]\text{Similarly},\\\\\frac{0+y_2}{2} =0\\\\= > y_2=0[/tex]

So, the Other endpoint Q=(2,0)

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Given data:

The given triangle in which AD is on perpendicular bisector on BC.

In triangle ABD and ACD.

Simmilary triangle BED and triangle CED.

The fisr expression can be written as,

Substitute CED in place of BED.

Thus, the triangle ABE is congruent to trriangle ACE.

A) The second graph gives the best representation of the daily amount of calories consumed by the rat.

B)The fourth graph gives the best representation of Jane's journey.

The first slope of the graph represents the steady increase in the consumption of calories by the rat until the age of 3. The horizontal line represents the level off until the age of 6. The slopes after the horizontal line represent the increase in consumption of calories after age 6.

The first slope of the graph represents the steady increase in the distance from her home as she is traveling away from her home. The horizontal line that comes after the slope represents the time she rested at the lemonade stand. And the negative slope that comes after the horizontal line represents the decreasing distance to her home as she travels back to her home.

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The equations that has the same value as x in 2/3(6x+12)=-24 are 4x+8 = -24 and 4x = -32 , option(a) and (e) are correct .

In the question ,

the equation 2/3(6x+12)=-24 is given

on solving for x ,we get

4x+8 = -24

4x = -24-8

4x = -32

x = -8 .

Solving option(a)

4x+8 = -24

4x = -24-8

4x = -32

x = -8

Solving for option(b)

9x+18 = -24

9x = -24-18

9x = -42

x = -42/9

solving for option(c)

4x = -16

x = -4

solving for option(d)

(18x+36)/2 = -24

18x + 36 = -48

18x = -48-36

18x = -84

x = -84/18

solving for option(e)

4x = -32

x = -32/4

x = -8

we can see that only option (a) and option(e) , given the value of x as -8 .

Therefore , the equations that has the same value as x in 2/3(6x+12)=-24 are 4x+8 = -24 and 4x = -32 , option(a) and (e) are correct .

The given question is incomplete , the complete question is

Which equation has the same value as X 2/3(6x+12)=-24 ?

Select two options

(a) 4x+8 = -24

(b) 9x+18 = -24

(c) 4x = -16

(d) (18x+36)/2 = -24

(e) 4x = -32

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Slope intercept form:

y = mx + b

m = (y2 - y1)/(x2 - 1) = (-8 - 1)/(2 - (-1)) = -9/(2 + 1) = -9/3 = -3

m = -3

If we take one of the point, for example (2, -8) and use it on the equation with the slope we already found:

y = -3x + b

-8 = -3(2) + b

Solving for b:

-8 = -6 + b

b = -8 + 6 = -2

b = -2

Therefore, the equation is: y = -3x -2

Answer:

y = -3x -2

Answer:

I read it's south Dakota but not sure of it.

I found it from this picture

Powell believe that the inflation rate will be  4.46% over the next year .

In the question ,

it is given that

total return offered by the investment((nominal rate) = 17% = 0.17

return according to Powell Arms(real rate) = 12% = 0.12

let the inflation rate be x.

The inflation rate over the next year can be calculated using the formula .

(1+Real rate ) = (1+nominal rate )/ (1+ inflation rate )

Substituting the values , we get

(1+0.12) = (1+0.17)/(1+x)

1.12 = 1.17/(1+x)

1+x = 1.17/1.12

1 + x = 1.0446

x = 1.0466-1

x = 0.0446

x = 4.46%

Therefore , Powell believe that the inflation rate will be  4.46% over the next year .

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The estimate (to one decimal place) of the average rate of change f is 2.3

The interval is given as

[-1, 2]

This can be rewritten as

x = -1 to x = 2

This can also be represented as

(a, b) = (-1, 2)

From the attached graph, we have

f(-1) = -5

f(2) = 2

The estimate (to one decimal place) of the average rate of change f is

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [f(2) - f(-1)]/[2 + 1]

So, we have

Rate = [2 + 5]/[2 + 1]

Evaluate

Rate = 2.3

Hence, the average rate of change f is 2.3

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400 yards of fence = total fencing

400 = 2 widths + 2 heights

Since one side (width) is along the river, and the river bank acts as one side of the rectangle, the fence will be used in 3 sides:

400 = w+2h

Solving for h:

400-w=2h

(400-w)/2 = h

h= (400-w)/2 (a)

h= 200-1/2w (simplified)

To express the area:

Area of a rectangle : height x width

Since h = 200-1/2w

A = (200-1/2w) w

A = 200w-1/2w^2 (b)

QS = 20.7

To get length of side QS, we will consider triangle SQR (right angle triangle)

opposite (the side opposite the angle 28°) = QS

adjacent = base = 39

We apply tangent ratio:

tan28 = opposite/adjacent

tan28 = QS/39

QS = 39 × tan28

QS = 39 × 0.5317

QS = 20.7363

To the nearest tenth, QS = 20.7

This problem is an application of the Geometric mean theorem. It says that

Comment: In other words, it says that the length of BC (x) is the geometric mean between the lengths of AC and DC.

Then,

................................................................................................................................................................

Let's talk a little about the simplest radical form of a square root

The first step to finding it is to write the number within the root as a product of prime powers, such product is called its integer factorization. Let's do that for 24:

Then, the integer factorization of 24 is

Thus,

The idea now is to take out of the root all we can. The rule is that we can only take out powers of 2 (for our root is a square root). In the expression

There is only one power of 2, within 2^3. We can write it as

How are we going to take out it? We are going to take out the base of the power, which is 2 in this case. Then,

In simple terms, the simplest radical form of a root is what results after taking out the root all that can be taken out.

Answer: Jenny = 6 | Kim = 7 | (Unknown Sister because no name) = 44

Step-by-step explanation:

Jenny = 6 years (that we already know)

6 x 2 = 12 - 5 = 7 years for Kim

7 + 6 = 13

To find the unknown age of the last sister, we will subtract 57 - 13 = 44

So the last sister is 44.

(I am very sorry if this is wrong, I am only in Middle School).

Answer:

16.90≤19.78

Step-by-step explanation:

We are given the following function:

Part A. We are asked to draw the graph of the function. This is an exponential function with a negative sign, this means that the graph is reflected across the x-axis. Therefore, the graph is:

Part B. The domain of a function is the values that the fuction can take as an input. Since the function is an exponential function, it can take any value of "x" therefore, the domain is all the real numbers, we write this as follows:

Part B. The range of a function is the values that the function outputs, The range of an exponential function are the values that are greater than zero, but since the given function is reflected across the x-axis, this means that the rage is the negative real numbers, therefore, the range is:

Part D. For an exponential function of the form:

The asymptote is x-axis, since zero is never an output of the function. Therefore the equation of the asymptote is:

Part E. The y-intercept is the value of the function when "x = 0", therefore, substituting in the function we get:

Solving the operations:

Therefore, the y-intercept is -1

The next nice year will be 2 nice.

The nice year that will be the first one after it is 4 nice.

It should be noted that an exponent is used to express the numbers that are either too big or too small. This is usually expressed in their powers.

Fron the information, it as stated that a year is called "nice" if its number can be represented as the difference of two powers of two.

The next nice year will be the difference which will be

= (2² - 2) × nice

= (4 - 2) × nice

= 2 nice.

The one after it will be:

= 2 × 2 nice

= 4 nice.

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Solution:

Given the graph;

If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.

ANSWER: B