The plot below represents the function f(x):

Evaluate f(-1):

Answer:

D and E are both greater than 1

Step-by-step explanation:

2(-6)+7=-5

2(-5)+7=-3

2(2)+7=11

2(3)+7=13

In a case whereby sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40, this can be considered as being reasonable amount because it is  $1.60 more to the cab driver.

A gratuity is a sum of money that customers typically give to specific service sector employees, including those in the hotel industry, in addition to the service's base charge for the work they have completed.

Given ; Sheri’s cab fare was $32 and the percentage of gratuity is 20%

amount of gratuity = 20% 0f 32 = 6.40

The fare of the cab  + gratuity = 32 + 6.40 = 38.40

Check to the cab driver for $40 ,  implies ($40 - $38.40)= $1.60 more to the cab driver.

Hence, it is reasonable.

Learn more about amount at;

https://brainly.com/question/11158699

#SPJ1

Answer: First Solution

Step-by-step explanation:

We can solve this by using the Quadratic Formula, which is

(-b±√b²-4ac)/2a

First off we can find the discriminant. Replacing b with 7, a with 2, and c with -5 gives us a discriminant of 89. But there are two solutions with the discriminant 89.

The second deciding factor would be finding the denominator, which is 2a. Replacing a with 2 gives us 4.

We already know the solution is the first one, but it's important to find the value of the first part of the numerator, -b. Using that we can tell that it's -7, and not 7.

Answer:

−2.6

Step-by-step explanation:

The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Answer:

x > 2

Step-by-step explanation:

4x + 2 > 10

Subtract 2  from both sides;

4x > 8

Divide both sides by 4;

x > 2

Answer:

x > 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Property

Step-by-step explanation:

Step 1: Define

4x + 2 > 10

Step 2: Solve for x

Here we see that any value x greater than 2 would work as a solution to the inequality.

Let the speed of the train be v km/hr and its length be l meters. The first car is moving at 45 km/hr while the second car is moving at 50 km/hr. Therefore, the speed of the train relative to the first car = (v - 45) km/hr. Similarly, the speed of the train relative to the second car = (v - 50) km/hr.

Using the formula distance = speed × time, we can calculate the distances covered by the train in passing each car. For the first car, the distance covered is l and the time taken is 36 seconds. Therefore, distance = speed × time gives us l = (v - 45) × (36/3600) km. For the second car, the distance covered is l and the time taken is 54 seconds. Therefore, distance = speed × time gives us l = (v - 50) × (54/3600) km.

Equating both these expressions for l, we get:(v - 45) × (36/3600) = (v - 50) × (54/3600)Simplifying this expression, we get v = 75 km/hr. Now we can substitute this value of v into either of the expressions for l that we derived earlier and get the length of the train. Using the first expression, we get: l = (v - 45) × (36/3600) km= (75 - 45) × (36/3600) km= 0.4 km= 400 meters Therefore, the length of the train is 400 meters. The length of the train is 400 meters. To solve this question, we first need to understand that the train passes two cars that are moving at different speeds. Using the relative speeds of the train and each car, we can set up two equations for the distances covered by the train in passing each car. Equating these expressions for the distances, we can solve for the speed of the train. Finally, substituting this value of the speed into one of the expressions for the distance covered by the train, we can find the length of the train.

To know more about speed visit:

https://brainly.com/question/17661499

#SPJ11

When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

Learn more about probabilities:

https://brainly.com/question/29381779

#SPJ11

Solution:

Given the function;

Let y=f(x);

Thus;

98 adult tickets were sold on Saturday at the movie theatre.

To find the number of adult tickets sold on Saturday, we can set up a system of equations based on the given information. Let's denote the number of child tickets sold as C and the number of adult tickets sold as A.

From the problem, we know that the child admission price is $6.20, and the adult admission price is $9.30. The total number of tickets sold is 173, and the total sales amount is $1376.40.

We can set up the following equations:

Equation 1: C + A = 173 (the total number of tickets sold is 173)

Equation 2: 6.20C + 9.30A = 1376.40 (the total sales amount is $1376.40)

To solve this system of equations, we can use substitution or elimination methods. Let's use the substitution method.

From Equation 1, we have C = 173 - A. Substituting this value into Equation 2, we get:

6.20(173 - A) + 9.30A = 1376.40

Expanding and simplifying the equation, we have:

1071.6 - 6.20A + 9.30A = 1376.40

Combining like terms, we get:

3.10A = 304.8

Dividing both sides by 3.10, we find:

A = 98.4516

Since we cannot have a fractional number of tickets, we round A to the nearest whole number. Therefore, the number of adult tickets sold on Saturday is 98.

In summary, 98 adult tickets were sold on Saturday at the movie theatre.

Learn more about elimination methods here:

brainly.com/question/13885360

#SPJ11

The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

To learn more on irrational numbers: https://brainly.com/question/17450097

#SPJ1

Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.

From the question, we have the following parameters that can be used in our computation:

IQ of intellectual gifted people

The general rule is that

People with intellectuals are usually ranked high and the range is usually small

Next, we test the options

A. 10

The top 10% has a high range

B. 5-10

The top 10% omits people in top 5%

C. 5

The top 5% has a high range

D. 1-2

This has a small range and it is the highest

Read more about IQ test at

https://brainly.com/question/31202174

#SPJ1

The simplified expression of the radical expression given as 5√7/√35 is 7

From the question, we have the following expression that can be used in our computation:

5√7/√35

The above expression is a fraction and at the same time it is a radical expression

The denominator of the fraction is √35

So, we start by rationalizing the expression by the fraction

This is represented as

5√7/√35 = 5√7/√35 * √35/√35

Evaluate the products of the numerator

So, we have the following representation

5√7/√35 = 5√245/√35 * 1/√35

Evaluate the products of the denominator

So, we have the following representation

5√7/√35 = 5√245/35

Simplify the fraction

This gives

5√7/√35 = √245/7

Simplify the fraction

5√7/√35 = 7√5/7

So, we have

5√7/√35 = 7

Hence, the simplified expression is 7

Read more about radical expression at

https://brainly.com/question/12052952

#SPJ1

Answer:

The equation has 5 solutions and its real soluations are x=3, +sqrt2, -sqrt2, and -1

Step-by-step explanation:

Answer:

x = 3, -1, 2, -2

Step-by-step explanation:\(x^{2}\)

6(\(x\)-3)(\(x^{2}\)+4)(\(x\)+1) = 0

6(\(x\)-3)(\(x\)+2)(\(x\)-2)(\(x\)+1) = 0

Using the fact that (\(x^{2}\)+4) = (\(x\)-2)(\(x\)+2) - known as the difference of two squares rule

Thus solve by inserting values of \(x\) that will result in the equation equating to 0.

ie: if \(x\) = 3,

6(3-3)(3+2)(3-2)(3+1) = 0

0=0

RHS = LHS therefore true

Answer:

it would be D

Step-by-step explanation:

all other choices have a repeating x value.

Answer:

4x

Step-by-step explanation:

X is incremented by 1

Answer:

Step-by-step explanation:

There is a 1 in front of the x. 1 is never written, but really the question looks like

1x +1x +1x +1x which when summed gives 4 x

b = 4

The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

What is meant by the perimeter of a figure?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given,

the scale factor = 4/5

The perimeter of the smaller rectangle = 45 cm

We are asked to find the perimeter of the larger rectangle(x).

Here both the rectangle are similar figures.

So the scale factor is the ratio of their corresponding sides.

But since the perimeter of a rectangle is the sum of the length of its sides.

The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.

Perimeter of small rectangle/Perimeter of large rectangle = 4/5

45/x = 4/5

x = 45 * 5 / 4 = 56.25cm

Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

To learn more about perimeter, follow the link.

https://brainly.com/question/397857

#SPJ1

The number of hours it will take the airplane to fly the given distance would be = 4.5 hours

To calculate the number of hours that can be used for the distance, the following needs to be done. That is;

The number of hours it take to complete 3600 miles = 3 hours

Therefore the number of hours it will take to complete 5400miles = X hours.

That is;

3600 miles = 3 hours

5400 miles = X hours

make X the subject of formula;

X = 5400×3/3600

= 16,200/3600

= 4.5 hours.

Learn more about distance here:

https://brainly.com/question/26046491

#SPJ1

Answer:

first one

Step-by-step explanation:

he adds 5(7) to his collection then 8(4) too and after wards he throws away 2

Answer:

first one

Explanation:

Answer:

Step-by-step explanation:

to make a negative, in addition, you can’t add a negative with a positive or the number would go from -3 + 2 = -1.

Answer:

Step-by-step explanation:

Given equation:

Simplify and factorize:

Answer:

\(x=0, \quad x=2\)

Step-by-step explanation:

Given quadratic equation:

\(4x^2-8x=0\)

Factor out the common term 4x:

\(\implies 4x(x-2)=0\)

Therefore:

\(\begin{aligned}4x & = 0 & \quad \textsf{or } \quad (x-2) & = 0\\\implies x & = 0 & \implies x & = 2\end{aligned}\)

So the solutions to the given quadratic equation are:

\(x=0, \quad x=2\)

Answer:

32:  median

Step-by-step explanation:

Use the median.  Here the median is the middle value of the data string

8, 29, 32, 31, 33, that is, 32.  

Answer:

4

Step-by-step explanation:

Mark me brainleist please!

Answer:

$46.15

Step-by-step explanation:

$46.15 because 125% of $36.92 is $46.15

Hope this helps!

The answer is:

∫θsec²(θ)dθ = θtan(θ) + ln|cos(θ)| + C,

where C is the constant of integration.

To integrate the function ∫θsec²(θ)dθ using integration by parts, we need to choose u and dv to apply the formula:

∫u dv = uv - ∫v du.

Let's assign u = θ and dv = sec²(θ)dθ.

Now, let's calculate du and v:

du = d(θ) = dθ

v = ∫sec²(θ)dθ = tan(θ).

Applying the integration by parts formula, we have:

∫θsec²(θ)dθ = θtan(θ) - ∫tan(θ)dθ.

We can further simplify the integral of tan(θ) by using the identity tan(θ) = sin(θ)/cos(θ):

∫tan(θ)dθ = ∫sin(θ)/cos(θ)dθ.

Using substitution, let's set u = cos(θ) and du = -sin(θ)dθ:

-∫(1/u)du = -ln|u| + C = -ln|cos(θ)| + C.

Therefore, the final result is:

∫θsec²(θ)dθ = θtan(θ) + ln|cos(θ)| + C,

where C is the constant of integration.

To know more about integration:

https://brainly.com/question/31744185

#SPJ4

Answer:

16 cups

Step-by-step explanation:

In order to find the answer to this question we need to solve it using what we know about unit measurements.

3 cups = 12 oz

\(12\div 3 = 4\)

1 cup = 4 oz

1lb = 16 oz

\(4\times4=16\)

4 cups = 1lb

16 cups = 4lb

=16 cups

Hope this helps.

Answer: x=3

Step-by-step explanation:

Subtract 7 from both sides to isolate x

\(x+7-7=10-7\\x=3\)

The Distributive Property Escape Room Level 4 is likely a math game or activity designed to test and reinforce understanding of the distributive property. The distributive property states that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products.

Level 4 of the escape room likely includes more complex equations and may require students to apply the distributive property in combination with other math concepts. The goal of the activity is to solve all the puzzles and escape the room by correctly solving each equation.

The Distributive Property states that a(b+c) = ab + ac, which means that when you multiply a number by the sum of two other numbers, you can first multiply the number by each of the two numbers separately and then add the products together. In the context of an escape room level 4, you might need to apply this property to solve a puzzle or equation that helps you progress to the next level. Remember to distribute the outside number to each term inside the parentheses and then simplify the expression to unlock the solution.

To know more about Distributive Property visit:

https://brainly.com/question/5637942

#SPJ11

Answer:

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.

Step-by-step explanation:

The discriminant of the quadratic equation g is negative.

In algebra, the discriminant of a quadratic equation plays a crucial role in determining the nature of its roots. For a quadratic equation of the form ax² + bx + c = 0, the discriminant is given by Δ = b² - 4ac. Depending on whether the discriminant is positive, zero, or negative, we can determine the types of roots the equation possesses.

When the discriminant is negative, it implies that the quadratic equation has no real roots. In this case, the graph of the quadratic equation does not intersect the x-axis at all, indicating that it has complex roots. These complex roots are a pair of complex conjugates of the form (p + qi) and (p - qi), where p and q are real numbers and i is the imaginary unit (√(-1)).

To know more about discriminant here

https://brainly.com/question/34591807

#SPJ2