Which of the e-values satisfy the following inequality?
3e ≤ 6
Choose all answers that apply:
B
e = 1
e = 2
e = 3
Stuck? Review related articles/videos or use a hint.
Report a problem

One key difference between the two graphs is that [tex]$y=x^2$[/tex] is a function, meaning that for each x value there is only one y value. On the other hand,[tex]$x=y^2$[/tex]is not a function.

The graph of[tex]$y=x^2$[/tex] is a parabola that opens upwards, centered at the origin (0,0). The graph of [tex]$x=y^2$[/tex] is also a parabola, but it opens to the right, also centered at (0,0). Both graphs intersect at the origin, where x=y=0.

Another important similarity between the two graphs is that they are both symmetric with respect to the y=x line,

which is the line of symmetry for both graphs. This means that if we reflect one of the graphs across the line y=x, we get the other graph.

One key difference between the two graphs is that [tex]$y=x^2$[/tex] is a function, meaning that for each x value there is only one y value.

On the other hand,[tex]$x=y^2$[/tex]is not a function, because for some y values there are two corresponding x values (one positive and one negative). This means that the graph of [tex]$x=y^2$[/tex] fails the vertical line test.

To know more about Graph visit:

brainly.com/question/17267403

#SPJ9

Step-by-step explanation:

V = P(1 - r)^t

where V is the value of the car after t years, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the number of years.

Plugging in the values given in the problem, we get:

V = 42000(1 - 0.15)^7

V = 42000(0.85)^7

V = 42000(0.327)

V = $13734.00

Therefore, the car will be worth $13,734.00 after 7 years. Rounded to the nearest dollar, the value is $13,734.

Answer:

A) $12,800.00. B) $13,629.44. The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years? C) ...

The factoring of the polynomial expression is presented as follows;

Part A; The greatest common factor is; 5

Part B; 15·x² + 25·x - 10 = 5·(3·x - 1)·(x + 2)

Part C; 5 × (3·x - 1) × (x + 2) = 15·x² + 25·x - 10

A polynomial is an expression containing algebraic terms that consists of variables and coefficients, joined together by operators.

The expression is 15·x² + 25·x - 10

Part A; The greatest common factor of the polynomial is the value that divides each of the terms of the polynomial, therefore;

The greatest common factor of 15·x² + 25·x - 10 is obtained as follows;

The largest number that divides each term of he polynomial expression is 5

15·x² + 25·x - 10 = 5·(3·x² + 5·x - 2)

Part B; The expression, 15·x² + 25·x - 10, can be factored as follows;

15·x² + 25·x - 10 = 5·(3·x² + 5·x - 2)

3·x² + 5·x - 2 = 3·x² + 6·x - x - 2

3·x² + 6·x - x - 2 = 3·x·(x + 2) - 1·(x + 2) = (3·x - 1)·(x + 2)

3·x² + 5·x - 2  = (3·x - 1)·(x + 2)

15·x² + 25·x - 10 = 5·(3·x² + 5·x - 2) = 5·(3·x - 1)·(x + 2)

Factoring the expression completely, we get;

15·x² + 25·x - 10 = 5·(3·x - 1)·(x + 2)

Part C: The factoring of the expression, 15·x² + 25·x - 10, can be checked as follows;

The factored expression is; 5·(3·x - 1)·(x + 2)

5 × (3·x - 1) × (x + 2) = 5 × (3·x² + 6·x - x - 2) = 5 × (3·x² + 5·x - 2)

5 × (3·x² + 5·x - 2) = 15·x² + 25·x - 10, which is the original expression

Learn more on factoring polynomials here: https://brainly.com/question/29120255

#SPJ1

Answer:

The probability that a randomly chosen cancer patient who has received chemotherapy has also had elective surgery can be expressed as P(E|C), where "P" represents probability and the vertical bar "|" indicates "given." So, P(E|C) represents the probability of event E given that event C has occurred.

Step-by-step explanation:

The single transformation that maps shape A onto shape C is a translation of 4 units to the right.

A single transformation is a mathematical operation that changes the position, orientation, or size of a geometric figure. It can be a translation, reflection, rotation, or dilation. It is a way to describe how a figure is transformed to obtain a new figure.

To map shape A onto shape C, we need to perform a sequence of transformations.

First, shape A is reflected in the line x = 2 to give shape B. This is a reflection in the vertical line passing through x = 2.

Next, shape B is reflected in the line x = 6 to give shape C. This is a reflection in the vertical line passing through x = 6.

To find the single transformation that maps shape A onto shape C, we can combine these two reflections into a single transformation.

The composition of two reflections in vertical lines is a translation.

In this case, the distance between the vertical lines x = 2 and x = 6 is 4 units. Since shape A is reflected in the first vertical line and shape C is reflected in the second vertical line, the movement is from the first line to the second line, which is to the right.

To know more about mathematical operation visit:

https://brainly.com/question/12210310

#SPJ1

Answer:

Step-by-step explanation:

i think so

Jack has enough rope for both projects.

Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.

For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.

Given:

Jack has 7 yards of rope.

He wants to cut it into pieces of different sizes.

Jack needs 84 inches of rope to tie some packages and 4 feet of rope for another project.

First, we need to convert all the measurements to the same units.

Let's convert yards to inches and feet to inches:

7 yards = 21 feet = 252 inches

4 feet = 48 inches

Now, let's add up the lengths of rope that Jack needs:

84 inches + 48 inches = 132 inches

So Jack needs a total of 132 inches of rope.

Since 132 inches is less than the total length of rope that Jack has (252 inches).

Therefore, he does have enough rope for both projects.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ1

Probability that a randomly selected students scored of then 65 on the  faunal exam is 65.54%.

mean μ = 63

standard deviation  σ = 5

x = 65

Find z-score:

z = (x - μ)/σ

z = (65 - 63)/5

z = 2/5

z = 0.4

Using z score table:

Probability that a randomly selected students scored of then 65 on the  faunal exam is :

P(x = 65) = P(z = 0.4)

P(x = 65) = 0.6554

Thus, Probability that a randomly selected students scored of then 65 on the  faunal exam is 65.54%.

Know more about the normal distribution

https://brainly.com/question/4079902

#SPJ9

Answer: |a|=−4

Step-by-step explanation:Divide each term in −|a|=4by −1 and simplify.

We can state that the polynomial [tex]x^3 + 10x^2 + 13x + 36[/tex] is

factored by (x + 9).

the remainder is 0, and the quotient is [tex]x^2 + 9x + 4[/tex]. The outcome can be expressed as

[tex]x^3 + 10x^2 + 13x + 36 = (x^2 + 9x + 4)(x + 9)[/tex]

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.

Poly (which means "many") and Nominal (which means "terms") are the two terms that make up polynomials. An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable)

From the question:

We use the long division method to divide polynomials.

[tex]x^2 + 9x + 4[/tex]

_____________________________

[tex]x + 9 | x^3 + 10x^2 + 13x + 36 - (x^3 + 9x^2)[/tex]

   _________________

        [tex]x^2 + 13x - (x^2 + 9x)[/tex]

           ___________

             [tex]4x + 36 - (4x + 36)[/tex]

                  __________

                          0

the remainder is 0, and the quotient is [tex]x^2 + 9x + 4[/tex]. The outcome can be expressed as

[tex]x^3 + 10x^2 + 13x + 36 = (x^2 + 9x + 4)(x + 9)[/tex]

to know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1

A point that represents the ordered pair (0, -3) is: D. Point G.

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

Based on the ordered pair (0, -3), we can logically deduce that the coordinates would be located in quadrant IV as shown in the image attached below.

Read more on ordered pair here: brainly.com/question/25462418

#SPJ1

The correct option is D. For the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. This point is equidistant from the three vertices of the triangle and is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.

Hence;

AS = AR = AT

3x - 7 = 2x + 3

3x - 2x = 7 + 3 {collect like terms}

x = 10

so;

AS = 3(10) - 7

AS = 30 - 7

AS = 23 and AT also is = 23.

Thus , for the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.

Know more about circumcenter here:https://brainly.com/question/28488644

#SPJ1

The interest to be paid by the student is $126.875 and the amount is $7126.875

The simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Given that, a student takes a loan on SI on $7000 for 3 months and the rate of interest is 7.25%

SI = PRT / 100

Putting the values,

SI = 7000 x 3 x 7.25 / 1200

= 126.875

Amount = Principal + Interest

Amount = 7000 + 126.875

= 7126.875

Hence, the interest to be paid by the student is $126.875 and the amount is $7126.875

Learn more about Simple interest, click;

https://brainly.com/question/25845758

#SPJ1

Answer:25

Step-by-step explanation:39+26=65,

65-40=25,

39+26=25+40

Answer:

Step-by-step explanation:

65-40=25,

39+26=25+40

The correct answer is c). When the value of x is -3, -x – 6 is equal to -9. Since -9 is greater than -3.5, the inequality -x - 6 > -3.5 is true.

Straight line inequalities are mathematical statements that use two or more variables and an inequality sign, such as “<” or “>”. These statements are used to describe the relationship between the variables and can be used to solve problems. An example of a straight line inequality is 2x + 3 > 7. This inequality states that for any value of x, the expression 2x + 3 must be greater than 7.

The other three options are not true when the value of x is -3. Option a) is false because -x – 6 is not less than -3.5. Option b) is false because -x – 6 is not greater than 3.5. Option d) is false because x – 6 is not greater than -3.5.

For more questions related to straight line,

https://brainly.com/question/29223887

#SPJ1

Question: Which inequality is true when the value of x is -3?

a) -x – 6 < -3.5

b) -x – 6 > 3.5

c) -x - 6 > -3.5

d) x - 6 > -3.5

An equivalent expression of (5.1u + 8) + 6 is 5.1u + (8 + 6)

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

(5.1u + 8) + 6

The associative property states that

(a + b) + c = a + (b + c)

Using the above as a guide, we have the following equation

(5.1u + 8) + 6 = 5.1u + (8 + 6)

Hence, the expression is 5.1u + (8 + 6)

Read more about equivalent expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

1/360

Step-by-step explanation:

A full circle corresponds to a central angle of 360°.

A 1° angle corresponds to 1/360 of a full circle.

Answer:

1/360

Step-by-step explanation:

1° angle corresponds to 1/360 of a whole circle

The number of messages are: Martina sent 21 messages, Ryan sent 14 messages, and Keith sent 42 messages.

We may build equations that link unknown values in a problem and describe those numbers using variables. We may modify these equations algebraically to get solutions for the unknowable numbers by employing variables. As a result, issue solving is more effective and we can come up with generic answers that may be used in a variety of situations. Moreover, employing variables enables us to see patterns and trends as well as better grasp the connections between various amounts in a situation.

Given that,

Ryan sent 7 fewer messages than Martina.

R = M - 7

Keith sent 2 times as many messages as Martina.

K = 2M

Martina, Ryan, and Keith sent a total of 77 text messages.

M + R + K = 77

Substitute the value of equation 1 and 2 in equation 3:

M + (M - 7) + 2M = 77

4M - 7 = 77

4M = 84

M = 21

Substitute the value of M in equation 1 and equation2:

R = M - 7 = 21 - 7 = 14

K = 2M = 2(21) = 42

Hence, the number of messages are: Martina sent 21 messages, Ryan sent 14 messages, and Keith sent 42 messages.

Learn more about equations here:

https://brainly.com/question/1566730

#SPJ1

Answer:

4 cookies

Step-by-step explanation:

If you can get 6 cookies for $1.50, then the cost of each cookie is:

$1.50 ÷ 6 = $0.25

This means that for $1.00, you can get:

$1.00 ÷ $0.25 per cookie = 4 cookies

Therefore, you can get 4 cookies for $1.00 at the Math munch cafe.

An arithmetic sequence with a common difference d = -3 include the following: D. 43,40,37,34,31.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 40 - 43

Common difference, d = -3

Read more on arithmetic sequence here: brainly.com/question/24989563

#SPJ1

The area of the garden alone is 21 yd²

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

The total length of the patio and garden is 6 yards while the total width is 5 yard. Hence:

Area of garden and patio = length * width = 6 yards * 5 yards = 30 yd²

The length of patio is 3 yard and width of the patio is 3 yard, hence:

Area of Patio = length * width = 3 yd. * 3 yd. = 9 yd²

Therefore:

Area of garden = Area of garden and patio - Area of Patio = 30 yd² - 9 yd² = 21 yd²

The area of the garden is 21 yd²

Find more on equation at: https://brainly.com/question/2972832

#SPJ1

The perimeter of the wall in a classroom is 26 meters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Given that, a wall in a classroom measures, the length is 10 m and the height is 3 m.

So, the perimeter of wall is 2(Length+Height)

= 2(10+3)

= 2×13

= 26 meters

A computer desk has a length of 70 cm and a breadth of 40 cm.

Now, the perimeter of a computer desk is 2(Length+Breadth)

= 2(70+40)

= 220 cm

220 cm can be written as 220/100 = 2.2 meters

Number of computers v=can be placed along wall =15/2.2

= 6.8

≈ 7

Therefore, approximately 7 computers desks place along the wall.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ3

The correct answer is (b) Ratings with a high mean and a low mean absolute deviation.

What is the mean absolute deviation?

Mean absolute deviation (MAD) is a statistical measure of how much the data values in a set deviate from the mean of the set.

Given options are

a. Ratings with a high mean and a high mean absolute deviation

b. Ratings with a high mean and a low mean absolute deviation

c. Ratings with a low mean and a high mean absolute deviation

d. Ratings with a low mean and a low mean absolute deviation

The manager at Frydays wants to receive consistent, positive ratings by customers on social media over the next month. Consistency means that the ratings are close to each other, and positive ratings mean that they are higher than average. Therefore, the goal is to have ratings with a high mean and a low mean absolute deviation.

The mean is a measure of central tendency that represents the average rating of customers, and a high mean indicates that the ratings are positive. The mean absolute deviation (MAD) is a measure of dispersion that represents how spread out the ratings are from the mean. A low MAD indicates that the ratings are close to each other and consistent.

Hence, The correct answer is (b) Ratings with a high mean and a low mean absolute deviation.

To learn more about the mean absolute deviation, visit:

https://brainly.com/question/447169

#SPJ1

a. Rogue Imperial Stout (11.6) is an extreme outlier.

b. This suggests that there may be more beers with lower alcohol percentages in the sample than higher percentages.

When the denominator is 100, percentages are really just fractions. We place the percent symbol (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 out of 100 questions correctly on a test, you would have received a 75%.

To determine if there are any outliers in the sample, we need to calculate the interquartile range (IQR), which is the difference between the upper quartile (Q3) and lower quartile (Q1).

IQR = Q3 - Q1

= 5.95 - 4.35

= 1.6

We then use the following rule to identify outliers:

Mild outliers: values that are less than Q1 - 1.5(IQR) or greater than Q3 + 1.5(IQR).

Extreme outliers: values that are less than Q1 - 3(IQR) or greater than Q3 + 3(IQR).

Using this rule, we have:

Mild outliers: None.

Extreme outliers: Rogue Imperial Stout (11.6) is an extreme outlier.

b. The boxplot below shows the distribution of alcohol percentage for the sample of 25 beers. The box represents the interquartile range (IQR), with the lower and upper whiskers extending to the smallest and largest values within 1.5 times the IQR from the lower and upper quartiles, respectively. Any values beyond the whiskers are considered outliers.

Another interesting feature of the boxplot is that the distribution appears slightly skewed to the right, with the median (5) closer to the lower quartile (4.35) than the upper quartile (5.95). This suggests that there may be more beers with lower alcohol percentages in the sample than higher percentages.

To know more about percentages visit:

brainly.com/question/24877689

#SPJ1

[tex]x^{5/6}[/tex]  is value of x in expression .

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself.

                           This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: The formula is (Number/Variable, Math Operator, Number/Variable).

expression  = [tex]x^{1/2} . x^{1/3}[/tex]            

                     = [tex]x^{1/2 + 1/3}[/tex]    

                    =  [tex]x^{5/6}[/tex]

Learn more about expression

brainly.com/question/14083225

#SPJ1

The sum of the mixed fractions given is 9 [tex]\frac{4}{3}[/tex].

Mixed fractions are type of fractions which consist of a whole number part and a fractional part.

Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.

Here the two numbers are 7 [tex]\frac{2}{3}[/tex] and 2 [tex]\frac{2}{3}[/tex].

Here 7 [tex]\frac{2}{3}[/tex] is actually 7 + [tex]\frac{2}{3}[/tex] and 2 [tex]\frac{2}{3}[/tex] is actually 2 + [tex]\frac{2}{3}[/tex].

Addition of mixed numbers can be done as following.

First add the whole numbers. Here, add 7 + 2.

Then add the fractional parts together. Fractional parts can be added as normal addition of fractions by making the denominators equal and adding the numerators.

7 [tex]\frac{2}{3}[/tex] + 2 [tex]\frac{2}{3}[/tex] = (7 + [tex]\frac{2}{3}[/tex]) + (2 + [tex]\frac{2}{3}[/tex])

             = (7 + 2) + ([tex]\frac{2}{3}[/tex] + [tex]\frac{2}{3}[/tex])

             = 9 + [tex]\frac{2+2}{3}[/tex]

             = 9 + [tex]\frac{4}{3}[/tex]

             = 9 [tex]\frac{4}{3}[/tex]

The flaw in Jonathan's reasoning is that while he was adding the fractional part, he adds the denominators also instead of keeping it as such.

Hence the sum is 9 [tex]\frac{4}{3}[/tex].

Learn more about Mixed Fractions here :

https://brainly.com/question/29019463

#SPJ1

Answer:

Let's call the time it takes for Kayleigh and Allison to meet each other "t".

We know that Kayleigh runs at a constant rate of 5 miles per hour, so the distance she covers in "t" hours is given by:

Kayleigh's distance = Kayleigh's speed * time = 5t

Allison runs at a constant rate of 3 miles per hour, but she has a 1 mile head start. This means that by the time Kayleigh and Allison meet each other, Allison will have run "t" hours minus the time it took her to cover her head start distance. The time it takes Allison to cover her head start distance is:

Time for Allison's head start = distance / speed = 1 / 3 = 0.33 hours (rounded to two decimal places)

Therefore, when Kayleigh and Allison meet each other, Allison will have run:

Allison's distance = Allison's speed * (t - 0.33) = 3(t - 0.33)

Now, we know that when they meet, Kayleigh's distance is equal to Allison's distance:

Kayleigh's distance = Allison's distance

5t = 3(t - 0.33)

Simplifying and solving for "t", we get:

5t = 3t - 1

2t = 1

t = 0.5

Therefore, it takes Kayleigh and Allison 0.5 hours (or 30 minutes) to meet each other in the race.

The surface area of the cylinder is 39 1/4

Cylinder is  is a three-dimensional solid consisting of two parallel circular bases joined together by a curved surface at a particular distance from the center of the circular bases. Cylinder has two flat ends in the shape of circles.

How to determine the surface area of cylinder

Surface area of cylinder is is the total space occupied by the flat circular bases of the cylinder and the curved surface.

Surface area = 2πrh + 2πr^2

Surface area = 2πr(r + h)

Where π = 22/7

r = 1 1/4 = 5/4

h = 3 3/4 = 15/4

SA = 2 * 22/7 * 5/4(5/4 + 15/4)

SA = 44/7 * 5/4(5)

SA = 44/7 * 6.25

SA = 39.2857 cm^2

Surface Area = 39 1/4 cm^2 is also related to 39.2857 cm^2

Therefore, the exact surface area of cylinder is 39 1/4 cm^2

Read more about Surface Area of Cylinder

https://brainly.com/question/27440983

#SPJ1

The side AC is 10 units long.

Measurement of length can be done in a variety of methods, including using handspan, foot span, metres, or other units including millimetres, inches, and metres. There are two types of length measurement units: There are both conventional and nonstandard length measurement units.

The Pythagorean theorem can be used to determine the length of side AC in the triangle ABC given:

AC² = AB² + BC²

AC² = 6² + 8²

AC² = 36 + 64

AC² = 100

AC = 10

As a result, the side AC is 10 units long.

To know more about Length visit:

https://brainly.com/question/30100801

#SPJ1

The Simple Interest is $112.5

What is Simple Interest?

Simple Interest is is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

In simple interest, the principal amount is always the same, unlike compound interest where we add the interest of previous years principal to calculate the interest of the next year.

Simple Interest = P * R * T/100

Where P = Principal = $2500

Rate = 1.5%

Time = 3 years

Simple Interest = 2500 * 1.5 * 3/100

Simple Interest = 11250/100

Simple Interest = $112.5

Read more about Simple Interest

https://brainly.com/question/30810708

#SPJ1