A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. How many pizzas are delivered to a customer who pays $80

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

\( \dfrac{2}{x} - 9\)

Step-by-step explanation:

the quotient of 2 and x:

\( \dfrac{2}{x} \)

9 less than the quotient of 2 and x:

\( \dfrac{2}{x} - 9\)

Answer: a/b + c/d = 14/45 ≈ 3.111

Step-by-step explanation:

a / b + c / d may have the smallest value, for example, if:

a = 1

b = 9

c = 2

d = 10

Therefore, we get:

1/9 + 2/10 = 14/45 ≈ 3.111

The mean height for each sample from the basketball team will be 79, 77.5, 79, 78.5, 80, and 78.5

For sample 1, the mean will be:

= (78 + 80)/2 = 79.

For sample 2, the mean will be:

= (78 + 77)/2 = 77.5

For sample 3, the mean will be:

= (78 + 80)/2 = 79

For sample 4, the mean will be:

= (80 + 77)/2 = 78.5

For sample 5, the mean will be:

= (80 + 80)/2 = 80

For sample 6, the mean will be:

= (77 + 80)/2 = 78.5

When the sample size was increased to n = 3, the shape of the sampling distribution becomes bell shaped on the population mean.

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Answer:

1.x=12

6/12 divided by 3 for both denominator and numerator

2. x=5

2/10 divided by 3 for both denominator and numerator

5. x=60

60/100 divided by 20 for both denominator and numerator

Find out #3 for yourself

Step-by-step explanation:

An equation for the income of Americans in terms of year is y = 0.4x - 792.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (7.8 - 7.4)/(1999 - 1998)

Slope (m) = 0.4/1

At data point (1998, 7.4) and a slope of 0.4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7.4 = 0.4(x - 1998)

y = 0.4x - 799.2 + 7.2

y = 0.4x - 792.

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Complete Question:

Personal income of Americans, in billions of dollars 1998 7.4 billion 2000 8.4 billion 1999 7.8 billion 2001 8.7 billion. Find the equation y= mx + b for the income of Americans in terms of year x, using the points (1998, 7.4) , and (1999, 7.8)

Considering the figure the value of angle b is

According to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.

hence angle a = angle y

Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.

angle b = angle a + 90

= 34 + 90

= 124 degrees

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Answer:  0.00435 If you do it by one.

                0.0087 if you do it by two. And-

                 0.01304 if you do it by three.

              I really hope this helps have a good day :))  (pls make brainliest im trying to each a goal!)

Step-by-step explanation:

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

The value of x is -3.

Step-by-step explanation:

It is given that:

y=3x+5       Eqn 1

y=4x+8       Eqn 2

Putting value of y from Eqn 2 in Eqn 1

4x + 8 = 3x + 5

4x - 3x = 5 - 8

x = -3

Therefore,

The value of x is -3.

Answer:

false

Step-by-step explanation:

97+33

=130

88+24

=112

So the answer is false.

A graph of the linear equation -3x + 5y = 7 in slope-intercept form is shown in the image attached below.

In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.

Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:

-3x + 5y = 7

5y = 3x + 7

y = 3x/5 + 7/5

Lastly, we would use an online graphing calculator to plot the given function as shown in the graph attached below.

In conclusion, the slope of this linear equation is equal to 3/5 and it does not represent a proportional relationship.

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Answer:

It is proportional.

Step-by-step explanation:

y/x = 8

Solve for y.

y = 8x

The equation of a proportional relation is of the form:

y = kx

y = 8x is of the form y = kx

so yeah it's proportional

The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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Let's represent the three consecutive numbers by 'x', 'x+1' and 'x+2'.

So, if their sum is equal 42, we have:

Since the largest number is 'x + 2', we have:

So the correct option is C.

Answer:

Option (C), 8 am

Step-by-step explanation:

Newton's Law of Cooling is a mathematical model that describes the cooling process of an object. It states that the rate of change of temperature of an object is proportional to the difference between its temperature and the surrounding temperature.

The equation representing Newton's Law of Cooling is:

\(\dfrac{dT}{dt} = -k (T_0 - T_A)\)

Where...

After solving the differential equation we get the following function:

\(T(t)=T_A+(T_0-T_A)e^{-kt}\)

\(\hrulefill\)

Given:

\(T_0=98.6 \ \textdegree F \ \text{(This is the average human body temperature)}\\\\T_f=T(t)=80\ \textdegree F \\\\T_A=40 \ \textdegree F \\\\k=0.1947\)

Find:

\(T(??)= \ 80 \ \textdegree F\)

Substituting the values into the formula:

\(T(t)=T_A+(T_0-T_A)e^{-kt}\\\\\\\Longrightarrow 80=40+(98.6-40)e^{-0.1947t}\\\\\\\Longrightarrow 80=40+58.6e^{-0.1947t}\\\\\\\Longrightarrow 40=58.6e^{-0.1947t}\\\\\\\Longrightarrow 0.682594=e^{-0.1947t}\\\\\\\Longrightarrow \ln(0.682594)=-0.1947t\\\\\\\Longrightarrow t=\dfrac{\ln(0.682594)}{-0.1947} \\\\\\\therefore \boxed{t \approx 2 \ \text{hours}}\)

Thus, we can conclude the time of death was at 8 am.

Answer:

x = 18

Step-by-step explanation:

4x and 90 - x are vertically opposite angles and are congruent, then

4x = 90 - x ( add x to both sides )

5x = 90 ( divide both sides by 5 )

x = 18

The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

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Answer:

The slope of the line is

\( \frac{3}{2} \)

The answer is 23 hope this helped

0.43.

As you can tell, number 3 occupied the hundredth place for number "0.434".

Since the number next to the nundredth is less than 5, the hundredth space is kept as it is. Hence, the rounded number is: 0.43.

Answer:

1/15 or 0.0667

Step-by-step explanation:

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bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

Answer:

Slope = -1

Step-by-step explanation:

I have assigned 7,3 as x2 and y2

and the other coordinates as x1 and y1

Then,

Use the slope formula

9 - 3 / 1 - 7

This would result in -1

Part A: probability for height of less than 56.55 inches: P(x < 56.55) = 54%.

Part B: probability for height of more than 55.8 inches: P(x > 55.8) = 46%.

The majority of the observations are centred around the middle peak of the normal distribution, which is a continuous probability distribution that seems to be symmetrical around its mean.

The probabilities for values that are farther from the mean taper off uniformly in both directions. Extreme values in the distribution's two tails are likewise rare.

Given data:

Mean μ =  55.9 inches,

standard deviation σ = 5.7 inches.

Part A: probability for height of less than 56.55 inches: x < 56.55

Find z score

P( x < 56.55) = z ( x < 56.55)

z = (x - μ) /σ

z = (56.55 - 55.9)/5.7

z = 0.1140 (use z score table to get the values)

P( x < 56.55) = (z =  0.1140 )

P( x < 56.55) =0.54

P( x < 56.55) = 54%

Part B: probability for height of more than 55.8 inches: x < 55.8 inches

Find z score

P( x >  55.8) = z ( x > 55.8)

z = (x - μ) /σ

z = (55.8 - 55.9)/5.7

z =  0.017  (use z score table to get the values)

P( x > 55.8) = (z =  -0.017 )

P( x > 55.8) = 0.49

P( x > 55.8) = 49%

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Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

Answer:

Behold... your answers are...

A. 91

B. 39, 30%