Consider the following graph Step 2 of 2: Determine the domain and range of the graph

Answer:

A and B

Step-by-step explanation:

actually the 180° rotation does the same as the reflection over the x-axis and then the reflection over the y-axis.

The percent of markup is 62.5%.

What is percentage?

A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.

To compute a percentage, divide the value by the entire amount and multiply the result by 100. It is provided by:

Percentage = (value / total value) * 100%

The markup amount is the difference between the selling price and the cost price. In this case, the markup amount is 75 dollars. The cost price of the headphones is 120 dollars.

To find the percent of markup, we can divide the markup amount by the cost price and multiply by 100 to get a percentage.

Percent of markup = (Markup amount / Cost price) * 100

Percent of markup = (75 / 120) * 100

Percent of markup = 62.5%

Therefore, the percent of markup is 62.5%.

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The area of the polygon is 45 square units.

From the question, we have

The given points make a rectangle with length AB and width AD.

Distance of AB = 4 - (-5) = 9

Distance of AD = -2 - (-7) = 5.

Area = length x width

Area = 9 x 5 =45 square units.

Area of Rectangle:

The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter. The area of a square will, however, be equal to the square of side-length in the case of a square because all of its sides are equal.

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Answer:

y=1/3x+4

Step-by-step explanation:

It should be correct as the gradient = 1/3

and the y-intercept = C

= +4

Answer: B

Step-by-step explanation:

The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).

This eliminates everything except for B.

The scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable is called interaction. The correct answer is C.

Interaction refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable. In other words, interaction occurs when the effect of one independent variable on the dependent variable depends on the level of another independent variable.

This can be represented in an interaction plot, where the lines representing the relationship between the dependent variable and one independent variable have different slopes at different levels of the second independent variable.

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Step-by-step explanation:

1) x - 5 = - 2

x = - 2 + 5

x = 3

2) - 6 + x = - 9

x = - 9 + 6

x = - 3.

3) x/4 = 6/8

Cross multiply

8x = 24

x = 24/8 = 3

4) - 14x = - 42

x = - 42/-14

x = 3

5) - 3/5 + x = 12/5

x = 12/5 + 3/5

x = 15/5 = 3

6) x/3 = 9

x / 3 - 9

x - 3

x = 3

The solution is shown below:

A  statement of equality between two expressions consisting of variables and/or numbers

x=3                                                             x≠3

1) x - 5 = - 2                                             2) - 6 + x = - 9

x = - 2 + 5                                                       x = - 9 + 6

x = 3                                                                x = - 3.

3) x/4 = 6/8                                                6) x/3 = 9  

x = 24                                                               x = 27

x = 24/8

x = 3

4) - 14x = - 42

x = - 42/-14

x = 3

5) - 3/5 + x = 12/5

x = 12/5 + 3/5

x = 15/5

x = 3

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Answer: hm

Step-by-step explanation: yes.

Answer: \(4840\ ft/min\)

Step-by-step explanation:

Given

Speed is \(v=55\ mi/h\)

Also, 1 mile is equal to 5280 ft

1 hour is equal to 60 min

Substitutes this values

\(\Rightarrow 55\times \dfrac{5280}{60}\\\\\Rightarrow 55\times 88\\\Rightarrow 4840\ ft/min\)

Answer:

Neither I am sure because if to the equation the answer is same

Answer:

26.2/7=

Step-by-step explanation:

6/8 skkssbjsjdsdhdhbddbd dhhdhshshs

Answer:

14/15

Step-by-step explanation:

To find the slope

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

   = ( 3 - -11)/( 6 - -9)

    = ( 3+11)/( 6+9)

    = 14/15

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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nikal bhosdike gaand mara

9514 1404 393

Answer:

  C  f and g share no roots

Step-by-step explanation:

The roots of a polynomial function are the values of x that make factors of the function be zero.

f(x) = x(x +4). The roots of f are -4 and 0.

g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.

f and g share no roots in common.

Answer:

  81

Step-by-step explanation:

The relevant rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

Applying these rules, we can simplify this expression as follows:

  \(\dfrac{(3x^{-4})^6}{9x^{-12}}=\dfrac{3^6}{9}x^{(-4)(6)-(-12)}=81x^0=\boxed{81}\)

_____

Additional comment

The rules of exponents derive from the fact that an exponent indicates repeated multiplication. That is, x·x·x = x³, where the exponent 3 indicates x is a factor 3 times. When this idea is used for division, we see the exponent is the difference between numerator and denominator exponents:

  (x·x·x)/(x·x) = x   or   x³/x² = x³⁻² = x¹ = x

This idea extends to cases where the denominator exponent is larger:

  (x·x)/(x·x·x) = 1/x   or   x²/x³ = x²⁻³ = x⁻¹ = 1/x

This can help you see that moving a factor from numerator to denominator (or vice versa) changes the sign of its exponent.

__

This idea of repeated multiplication also applies when exponents are layered:

  (x·x·x)(x·x·x) = (x³)² = x⁶ . . . . . the product exponent is the product of 3 and 2 as we indicated in the rules above

Answer:

50,12

Step-by-step explanation:

any number that has 5 in the tensplace is correct

1/10 of 100 is 10

The function to represent the given scenario is y=25+0.15x and the number of miles travelled is 240 miles.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, Bang-up Motors will rent-a-car for $25 plus $0.15 per mile traveled.

a) Let the number of hours be x and the total number of hours be y.

Now, y=25+0.15x

b) If your bill was $61, then the number of miles are

61=25+0.15x

0.15x=36

x=36/0.15

x= 240 miles

Therefore, the number of miles travelled is 240 miles.

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Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

The fair price for the smaller box should be $1.00.

From the question, we have that the larger box of popcorn sells for $3.00 and the two boxes have congruent openings and equal heights, we then can make the assumption  that the only difference between them is their volume.

The volume of a pyramid is found using the formula:

V = (1/3) B* h,

where 'B'=  base area

'h' = height of the pyramid

In conclusion, we can say that The fair price for the smaller box should be $1.00 because a pyramid is 1/3 the volume of a prism.

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The complete question is attached

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

slope = m = 1

Step-by-step explanation:

y = x + 5

slope intercept form is y = mx + b, where m is the slope.

in this case, the m = 1; therefore, the slope is 1

Answer:

Domain=[67,78]

Step-by-step explanation:

To find domain:

  ⇒ must define what is a domain

       ⇒ Domain is the set of input values or the values of the x-axis of

           graph that is covered by the function

Based on the definition:

    ⇒ 67 ≤ x ≤ 78 is the domain of the function

Answer: 67 ≤ x ≤ 78 where x is a whole number

Hope that helps!

Step-by-step explanation:

\(slope \: = \frac{y2 - y1}{x2 - x1} = \frac{3}{4} \)

point 1 ( -7,y)

point 2 (1,13)

\( \frac{13 - y1}{1 - ( - 7)} = \frac{3}{4} \)

\( \frac{13 - y1}{8} = \frac{3}{4} \)

\(13 - y2 = \frac{8 \times 3}{4} = 6\)

\(y2 = 13 - 6 = 7\)

y = 7

Answer:

780

Step-by-step explanation:

15*52=780

The value of k is\((3\sqrt{ 10})/2\)

Given:

x-y=k.............(eq i)

2x²+y²-15..............(eq ii)

We would make y the subject formula in eq ii

2x²+y²-15= 0

2x² + y²= 15

y²= 15-2x²

y= \(\sqrt{15-2x^2}\)...........(eq iii)

Substitute the value of y into eq i

x-(\(\sqrt{15-2x^2}\)= k

x- (\(\sqrt{15} - 2x\)= k

k= \((3\sqrt{ 10})/2\)

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Answer:

assuming he feeds the dogs 5kg per day, the answer is 80kg left

Step-by-step explanation:

5kg per day multiplied by 4 days equals 20kg. 100kg minus 20kg equals 80kg.