fine the value of x. please help

from the question, we were told in 1995, Charter charged a flat rate of

$39.95 for the first twenty hours.

and an additional per hour charge of $5.99

if,

for 20 hours = 39.95

therefore for 1 hour = 39.95/20

so for 18 hours = 39.95/20 X 18.95/20

so for 18 hours = 9

so,

to get the amount Charter bill for 18 hours in 1995 is,

39.95 x 18/20

= 39.95 x 0.9

= $35.955

so Charter bill for 18 hours of internet used in 1995 is $35.955

ould bill for 28 hours is

so, what Charter would

Answer:

sss

Step-by-step explanation:

a. Using the equation of the relationship, the temperature outdoor would be 67.5 °F.

b. 140 chirps in a minute.

c. 60 chirps at that temperature is expected.

d. The graph for the relationship is given below.

e. 1/4 is the unit rate or slope = in 1/4°F per chirp.

f. 40 represents the starting or initial temperature.

The graph of a linear equation, y = mx + b, will have a slope value of m, and an initial value or y-intercept of b, which is the point on the y-axis that the line intercepts.

Given the equation, f = ¼c + 40, where:

f = temperature in degrees Fahrenheit

c = number of chirps

1/4 represents the temperature in °F per chirp

40 represents the initial temperature

a. Substitute c = 110 into the equation, f = ¼c + 40:

f = ¼(110) + 40

f = 67.5

The outdoor temperature is predicted to be 67.5 °F.

b. Substitute f = 75 into the equation, f = ¼c + 40:

75 = ¼c + 40

75 - 40 = ¼c

35 = 1/4c

4(35) = c

c = 140

140 chirps would be heard in a minute.

c. Substitute f = 55 into the equation, f = ¼c + 40:

55 = ¼c + 40

55 - 40 = ¼c

15 = c/4

4(15) = c

c = 60

Expect to hear 60 chirps at that temperature.

d. The graph for f = ¼c + 40 is in the attachment.

e. 1/4 is the unit rate or slope, which is the temperature in °F per chirp.

f. 40 tells us about the equation of the relationship that the initial temperature where we can start expecting the crickets to chirp starts from 40 °F.

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Answer:

Answer 1: Rajesh: 93/100 Sita: 82/100 (simplest form: 41/50) Rajesh earned more.

Answer 2: 11/100 more marks

Answer 3: Rajesh got an A, while Sita got a B-

Step-by-step explanation:

Put the 93 on top of 100, and do the same for 82.

Rajesh clearly earned more. Subtract 82 from 93 to find out Rajesh score 11 points more.

Answer:

Step-by-step explanation:

The spending is the cost plus expenses:

Net income is the difference of money made and spent:

The slope of line through points (-2, 2) and (-4, -1) is 3/2 by using the slope-point formula that tells that change in y divided by change in x.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A point is a basic concept in classical Euclidean geometry that represents an exact location in space and has no length, width, or thickness. In contemporary mathematics, a point more broadly refers to a component of a set known as a space.

Here,

The points are (-2, 2) and (-4, -1)

m=(y2-y1)/(x2-x1)

m=Δy/Δx

m=(-1-2)/(-4+2)

m=3/2

By dividing the change in y by the change in x, the slope of the line passing through the points (-2, 2) and (-4, -1) is 3/2.

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Answer:

y = -x + 1

Step-by-step explanation:

y =mx + b

It is crossing the y axis at 1 that is the b

The slope (m) is -1.  From one point on the line to another you go down 1 and left 1.  That represents a negative slope of 1

The slope of the line parallel to y = 4  / 7 x + 7 is 4  /7.

The slope of the line perpendicular to y = 4  / 7 x + 7 is - 7 / 4.

The equation of a line can be described as follows:

y = mx + b

where

The equation of the line given is y = 4  / 7 x + 7.

Parallel lines have the same slope.

Therefore, the slope of the line parallel to the given equation of the line is 4 / 7.

A line perpendicular to each other follows the rule below:

m₁ m₂ = -1

where

Therefore, let's find the slope of the line perpendicular to the given equation.

4 / 7 m₂ = -1

cross multiply

4m₂ = -7

m₂ = - 7 / 4

Therefore, the slope of the line perpendicular to the equation is - 7/4

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The coordinates of the trapezoid  RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5), and U(-13,-9) after dilation with scale factor of k= 1/4 are

Data gotten from the question

Dilation refers to an increment or reduction in dimension and location of a preimage to get a new image

The coordinate of the image of dilation is gotten using the formula

x₂ = kx₁ - x₀(k - 1) for x coordinate

y₂ = ky₁ - y₀(k - 1) for y coordinate

definition of terms

terms with subscript 2 is corresponding to the image

terms with subscript 1 is corresponding to the preimage

terms with subscript 0 is corresponding to the center of dilation

\k = scale factor

R(-13, 7) ⇒ R'(-7, -2)

x₂ = 1/4 * -13 - -5(1/4 - 1) = -7

y₂ = 1/4 * 7 - -5(1/4 - 1) = -2

S(-1, 7)  ⇒ S' (-4, -2)

x₂ = 1/4 * -1 - -5(1/4 - 1) = -4

y₂ = 1/4 * 7 - -5(1/4 - 1) = -2

T(-1, -5) ⇒ T' (-4, -2.5)

x₂ = 1/4 * -1 - -5(1/4 - 1) = -4

y₂ = 1/4 * -5 - -5(1/4 - 1) = -2.5

U(-13,-9) ⇒ U' (-7, -6)

x₂ = 1/4 * -13 - -5(1/4 - 1) = -7

y₂ = 1/4 * -9 - -5(1/4 - 1) = -6

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The probability that the repair time for an air conditioning unit will be between 29 and 44 minutes is 0.4648

We are given:

u= 38,s = 12

We have to find P(29 < x< 44)

Using the z-score formula, we have:

P(29 <x <44) = P(-0.75 < z <0.5)

Using the standard normal table, we have:

P(29 <x<44) = P(-0.75 < z < 0.5) = 0.4648

Therefore, the probability that the repair time for an air conditioning unit will be between 29 and 44 minutes is 0.4648

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The biconditional statement is "You study for your test if and only if you passed".

What is biconditional statement?

A biconditional statement combines a conditional statement with its opposite expressed in the form of "if and only if."

The given statements are,

"If you study for your test, then you will pass your test"  and "you passed your test then you studied for your test".

The biconditional statement is: "You study for your test if and only if you passed".

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When b²−4ac=0 there is one real root.

When b²−4ac>0 there are two real roots.

When b²−4ac<0 no real roots or two complex roots

First equation

-x²-4x+7

b²−4ac>0, then equation -x²-4x+7 has two real roots.

Second equation

-2x²+9x-11

b²−4ac<0, then equation -2x²+9x-11 has two complex roots.

Third equation

3x²-6x+3

b²−4ac=0, then equation 3x²-6x+3 has one root.

A. The slope of the function = 1.5.

a = 15; b = 3; c = 3; d = 1.5

B. y-intercept (b) = 7.5

C. The equation of the function is: y = 1.5x + 7.5.

The height in 10 years is approximately 17.5 feet.

The equation of a function can be expressed as y = mx + b, if we know the value of the slope, m, and the value of the y-intercept, b.

Part A:

Using the two points on the graph, we can find the slope of the function as shown below:

The two points are (3, 12) and (5, 15):

Slope of the function = (15 - 12)/(5 - 3)

= 3/2

Slope (m) = 1.5.

Thus, the values that represents each letters would be:

a = 15; b = 3; c = 3; d = 1.5

Part B: The y-intercept of the function

The y-intercept of the function can be defined as the initial tree height which is the point where the line intercepts the y-axis of the graph.

Substitute m = 1.5 and (x, y) = (3, 12) into y = mx + b to find the y-intercept (b) of the function:

12 = 1.5(3) + b

12 = 4.5 + b

12 - 4.5 = b

7.5 = b

b = 7.5

y-intercept (b) = 7.5

Part C: To write the equation of the function, substitute m = 1.5 and b = 7.5 into y = mx + b:

y = 1.5x + 7.5.

Therefore, the initiate tree height is 7.5 feet, and it increases at a rate of 1.5 feet per year.

To find the height in 10 years, substitute x = 10 into the equation of the function, y = 1.5x + 7.5:

y = 1.5(10) + 7.5

y = 10 + 7.5

y = 17.5 feet

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a) We will draw the situation.

b) Considering the theory, the vertex of a parabola is represented in (h,k) where h is the x-coordinate, in this case, if our parabola has an amplitude of x=320feet then h=320/2=160feet, and k is the highest y-coordinate 80 feet. So the equation is:

We have to know the value for a, so we will use a point to replace it in the equation and with that, we will know the value, so in x=0 the y-value is 0 too so:

So the equation is:

c. To know the answer to this question we will have to replace x=280feet with the y value we will know if at the moment the ball can go over the tree or if it would crash into it.

At that point, the ball would be 35 feet up so if it could pass over the tree 5 feet higher.

Given the equations

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

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

Subtract equation (2) from (1)

x - x -3y - y = 3 - 5

-4y = -2

Divide both -4

Substitute y = 1/2 into equation (1)

x + y = 5

Hence, the solution to the equations is

Answer Las raíces de la ecuación x2 − 6x + 7 = 0 son α y β. Encuentra la ecuación con raíces α + 1 β y β + 1 α. Deduzco que α + β = − b a = 6 1 = 6 y que αβ = c a = 7 1 = 7.

Step-by-step explanation:

Based on angle relationships, the missing angle measures are:

a = 118° [same side exterior angles]

b = 118° [vertical angles]

c = 32° [Linear pair]

d = 32° [same side interior angles]

Some of the angle relationships that can be used to determine the measures of angles that are formed when two parallel lines are intersected by a transversal are:

Using angle relationships, the following angle measures are determined as follows:

a = 180 - 62 = 118° [same side exterior angles]

b = a [vertical angles]

b = 118°

c = 180 - 148 [Linear pair]

c = 32°

d = 2 [same side interior angles]

d = 32°

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The simplified expression of the perimeter of the triangle is 3.75x - 7.

A triangle is a a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The perimeter of a triangle is the sum of the whole three sides.

Therefore, the simplified expression that represents the perimeter of the triangle is as follows:

Hence, the three sides of the triangle are as follows;

Hence,

perimeter of the triangle = 1.5x - 3 + 1.5x - 3 + 0.75x - 1

perimeter of the triangle = 1.5x + 1.5x + 0.75x - 3 - 3 - 1

perimeter of the triangle = 3.0x + 0.75x - 7

perimeter of the triangle = 3.75x - 7

Therefore, the simplified expression is 3.75x - 7

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Answer:

D

Step-by-step explanation:

(14x + 18) and 116 are corresponding angles and are congruent, then

14x + 18 = 116 ( subtract 18 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

The ratio 5:12 means that we have 5 orange marbles for 12 black marbles (5 to 12) and the orange marbles will be 30 if the container has 72 black marbles.

According to the question,

We have the following information:

A container full of marbles has a ratio of orange marbles to black marbles of 5:12.

It means that we have 5 orange marbles when the number of black marbles is 12.

Now, let's take the number of orange marbles to be 5x and the number of black marbles to be 12x.

Now, we have the number of black marbles as 72.

So ,we have:

12x = 72

x = 72/12

x = 6

Now, we will put the value of x in 5x to find the number of orange marbles:

5x

5*6

30

Hence, the number of orange marbles in the container when it has 72 black marbles is 30.

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The inverse of f(x) will be a relation if the original function's graph contains any location where a horizontal line would cross itself twice, but the inverse of that function won't be a function in and of itself.

Does a function's inverse always represent a relationship?

Essentially, obtaining an inverse is only a matter of changing the x and y coordinates. Although it might not always be a function, this newly generated inverse will be a relation. Sometimes a function's inverse isn't actually a function!

The inverse will also be a function if all horizontal lines only ever intersect one place on the original graph.

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Answer:

y=-5x/3+26/3

Step-by-step explanation:

Because we want the equation to look like y=mx+b, rearrange the terms.

Since 26-5x is the same as -5x+26, rewrite it like that.

3y=-5x+26

Now, since we want the value of y, divide by 3 on both sides.

3y/3=y

-5x/3= -5x/3

26/3= 26/3

The simplest form would look like:

y=-5x/3+26/3

EXPLANATION

Given the line on the graph, we need to find the slope and the y-intercept.

Considering two ordered pairs, as for instance (x₁,y₁)=(50,-90) and (x₂,y₂)=(80,90)

The slope-equation is:

Replacing terms:

The point-slope form of the line is:

y-y₁= m(x-x₁)

Finally, we need to represent as a point-slope form considering either one ordered pair, as for instance, (x₁,y₁)=(50,-90)

y-(-90) = 6(x-50) [Simplifying terms]

y + 90 = 6(x-50) [ANSWER]

EXPLANATION

Since we know that the number of hours is represented by a periodic function, the appropriate model is the sine function.

As the average number of daylight hours is 12 with a maximum and minimum of 14.4 and 9.6 respectively.

Furthermore, the period is 365.

Thus, the period is as follows:

The appropiate model is the following:

Now, we need to compute the value of a:

Since the sine function reaches its highest value at t=90° and is represented by 14.4, when t=90°, the value of the function is asin(0.017t) = 1

Therefore,

14.4 = a + 12

Subtracting -12 to both sides:

14.4 - 12 = a

Subtracting numbers:

2.4 = a

In conclusion, the final function is the following:

Since the minimum is at t=0, we want:

In conclusion, the solution is the OPTION C)

Answer:

Step-by-step explanation:

y = 0.81x + 6.9

residual value = Measured value - Predicted value

Measured value = actual y-coordinate of the point, y

Predicted value = value of y from the equation, y1

residual value = (actual y-coordinate of the point, y) - (value of y from the equation, y1)

residual value = y - y1

x y        y1                residual (y-y1)

3 9     9.33                    -0.33

6 9     11.76                    -2.76

5 13     10.95                   2.05

7 13    12.57                    0.43

8 16     13.38                    2.62

8 11     13.38                   - 2.38

Sum of residuals:

sum = (-0.33) +(-2.76)+(2.05)+(0.43)+(2.62)+(-2.38)

B. −0.37; This indicates that the line of best fit is accurate and is an overall good model for prediction.

(Though not very accurate as it should have been if the sum of residuals was equal to 0).

A total discrepancy of -0.37 is not too bad.

Answer:Answer:

B. −0.37;

This indicates that the line of best fit is accurate and is an overall good model for prediction.

Step-by-step explanation:

y = 0.81x + 6.9

residual value = Measured value - Predicted value

Measured value = actual y-coordinate of the point, y

Predicted value = value of y from the equation, y1

residual value = (actual y-coordinate of the point, y) - (value of y from the equation, y1)

residual value = y - y1

x y        y1                residual (y-y1)

3 9     9.33                    -0.33

6 9     11.76                    -2.76

5 13     10.95                   2.05

7 13    12.57                    0.43

8 16     13.38                    2.62

8 11     13.38                   - 2.38

Sum of residuals:

sum = (-0.33) +(-2.76)+(2.05)+(0.43)+(2.62)+(-2.38)

sum of residuals = -0.37

ANSWER:

B. −0.37; This indicates that the line of best fit is accurate and is an overall good model for prediction.

(Though not very accurate as it should have been if the sum of residuals was equal to 0).

A total discrepancy of -0.37 is not too bad.

The rule for the given function f /g when the function f(x) = -3x -6 and

g(x) = x² -x - 6 is identified as  f(x) / g(x) = -3 / (x -3).

As given in the question,

Given function are:

f(x) = -3x -6

g(x) = x² -x - 6

Rule to identify for the function f(x) / g(x) we get,

Substitute the value of f(x) and g(x) in the required rule we have,

f(x) / g(x) = (-3x -6 ) / ( x² -x - 6 )

Now simplify the function to get the rule:

f(x) / g(x) = -3(x+2) / (x² -3x +2x -6)

⇒ f(x) / g(x) = -3(x+2) /(x-3)(x+2)

⇒ f(x) / g(x) = -3 / (x-3)

Therefore, the rule for the given function f /g when the function f(x) = -3x -6 and g(x) = x² -x - 6 is identified as  f(x) / g(x) = -3 / (x -3).

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The amount of paint that must be used from can A and can B is 3.86 liters and 5.14 liters respectively to obtain 9 liters of paint which is half blue and half yellow.

Can A has 9 parts of blue paint and 1 part of yellow paint, this can be expressed in percentage as;

Can A = 90% blue, 10% yellow

Similarly,

Can B = 20% blue, 80% yellow

Now consider an algebraic expression as follows;

A + B = 9 liters

90% A + 20% B = 50% [Blue]

10% A + 80% B = 50% [Yellow]

Resolving;

90% A + 20% B = 10% A + 80% B

80% A = 60% B

Solving the equation, A + B = 9, for one variable;

A + B = 9

B = 9 - A

80% A = 60% (9 - A)

80% A = 540% - 60% A

140% A = 540%

A = 3.86 Liters

Now solving for B;

B = 9 - A

B = 9 - 3.85

B = 5.14 Liters

Therefore 3.86 liters should be used from can A and 5.14 liters should be used from can B.

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Using linear functions, it is found that:

a) The equation is: y = 2x + 3.

b) The equations are:

c) The systems are consistent independent.

d) The point of intersection is (1, 5).

A linear function is defined in slope-intercept formula by the rule presented as follows:

y = mx + b.

In which:

For Sidewalk 1, it is found that:

Then the rule is:

y = 2x + 3.

For Sidewalk 2, when x changes by 2, y decays by 2, hence the slope is:

m = -2/2 = -1.

The line goes through point (1,5), hence the equation in point-slope form is:

y - 5 = -(x - 1).

Combining the like terms, the slope-intercept form is:

y - 5 = -x + 1

y = -x + 6.

Since the two lines have different slopes, the system is consistent independent.

The x-coordinate of the intersection is:

-x + 6 = 3 + 2x.

3x = 3

x = 1.

The y-coordinate is:

-x + 6 = -1 + 6 = 5.

Hence the intersection point is:

(1, 5).

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Answer: I am I don't know man

Step-by-step explanation: answer is I don't know.

[tex]-14x^2 \div 3x\implies \cfrac{-14x^2}{3x}\implies -\cfrac{14}{3}\cdot \cfrac{x^2}{x}\implies -\cfrac{14}{3}x[/tex]

For this problem, we are given the following rational function:

We need to determine the horizontal asymptote for this function. In order to determine this, we need to calculate the limit of the function when x approaches infinity. We have:

The horizontal asymptote exists at y= 4/3. The correct option is C.