A hotel is offering two weekend specials. The first special is 3 nights and 4 meals for $233. The second
special is 3 nights and 3 meals for $226.50.
Part A: Write a system of equations to represent cost per night x and cost per meal y.
Part B: What is the cost per night and the cost per meal?

Answer:

x-intercepts: -72 and 133

y-intercept: -19152

Step-by-step explanation:

You can solve for x-intercepts by...

[tex]y = (2x + 144)(x - 133)[/tex]

2x+144=0

-144 -144

2x=-144

2 2

x=-72

x-133=0

+133 +133

x=133

to find y intercept you plug in 0 for x...

y=(2(0)+144)(0-133)

y=(0+144)(-133)

y=(144)(-133)

y=-19152

The equation of a parabola that intersects the x-axis at points (-1, 0) and

(3, 0) is y = x² - 2x - 3.

What is a parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.

Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.

The general equation for such parabola is,

y = ax² + bx + c

The roots of the quadratic equation is found when y = 0

We know that when y = 0, x = -1 , 3

So (x+1) (x - 3) = 0

Solving the above equation we can find the equation of parabola

x² - 3x + x -3 = y

Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

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Answer:

take 19 degree as reference angle

using sine rule

sin 19 degree=x/74

0.32=x/74

0.32*74=x

23.68=x

Step-by-step explanation:

Hope this helps u !!

Answer:

To find the number of hours you work, you need to set up an equation using the information given. Let's say that the number of hours you work is x. The equation would be:

17(x/2) = 42.50

The parentheses around x/2 indicate that the division should be done before the multiplication. So, x/2 = 2.5. Multiplying both sides of the equation by 2 gives us:

x = 5

So, you work 5 hours.

Step-by-step explanation:

So, we know that you earn $17 per 2 hours. We also know that we earned $42.50. Now, we just need to find the hours! We can do this by using a cross multiply.

$17 is directly correlated to 2 hours of work. Therefore, to find the hourly wage we should divide it by 2:

   $8.5 = 1 hour

$42.50 = x hours?

Now cross multiply:

$8.5x = $42.50

x = 5 hours

Therefore, your answer is 5 hours!

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

14.7 ft²

Step-by-step explanation:

the volume of the triangular prism =

(½×3.5×2) x 4.2

= 3.5 × 4.2

= 14.7 ft²

Answer:

Solution given:

For triangle

base=3.5

height =2ft

and length=4.2ft

Now

Volume of triangular prism=area of traingle x length

=½(3.5*2)×4.2

=14.7ft³

Required volume is 14.7ft³.

Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.

For example, some appropriate input values could be:

h = 1: This represents 1 hour of travel, or a total distance of 140 miles.

h = 2: This represents 2 hours of travel, or a total distance of 280 miles.

h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.

Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.

Step-by-step explanation:

Answer:

y = 7x - 2

Step-by-step explanation:

m = slope

b = y int

Have a good day!!!

Answer and Step-by-step explanation:

The equation formula is written as:

y = mx + b

Where:

m = the slope

b = y-intercept

So, all we have to do is plug in the values given to us into the equation.

7 = m

b = -2

y = 7x - 2  is your answer.

#teamtrees #PAW (Plant And Water)

[tex]2xA^{3}[/tex]  is a polynomial as a result.  Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.

In mathematics, a polynomial is an expression made up of variables (also known as indeterminates) and coefficients that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

given

[tex]2xA^{3}[/tex]  is a polynomial as a result. Constants, variables, and exponents can all be included in a polynomial, but variable division is never permitted.

It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.

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Yes S lies as the perpendicular bisector as asked in the question .

The distance is calculated with the use of distance formula,

d = √( x2 - x1 )² + ( y2 - y1 )²

Now , we are suppose to calculate the distance between the points S and R, given their values are ,

S=(4,-2) and

R=(3,7)

Using distance formula ,

d = √( 3 - 4 )² + ( 7 - (-2))²

d =  √ 1 + 81

=  √82

Now, the distance between Q and S can be found as ,

Q=(-5,-1)

S=(4,-2)

d = d = √(4 + 5)² + ( -2 + 1)²

d =  √ 81 + 1

=  √82

As the distance between the two ends of the segment and the point S is the same, the point S must lie on the perpendicular bisector of QR, according to the perpendicular bisector theorem.

For question number 9 the distance between Q and S are,

Q=(-5,4)

S=(-2,-5)

d = √( -2 -5)² + ( 5 - 4)²

d =  √ 9 + 1

=  √10

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Answer:

You are in fact correct

Step-by-step explanation:

mark brainliest plss

Answer:

yes

Step-by-step explanation:

(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.

To solve the problem, recall the factor theorem.

Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0

The given function is:

f(x) = x³ - 3x² + 4x - 12

To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).

Substitute x = 3 into f(x):

f(3) =3³ - 3(3)² + 4(3) - 12

f(3) = 27 - 27 + 12 - 12

f(3) = 0

Since f(3) = 0, then x -3 is a factor of  x³ - 3x² + 4x - 12

Your question is incomplete, but most probably your question was:

Is x - 3 a factor of the polynomial  x³ - 3x² + 4x - 12?

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Answer:

Step-by-step explanation:

Here,

These two angles when added forms a 180° that straight line .

Hence,

These are supplementary angles.

Step-by-step explanation:

3^0=1

3^2=9

[tex] \frac{1}{9} [/tex]

plz mark as brainliest

Answer:

1/9

Step-by-step explanation:

When dividing terms with exponents, you subtract the exponents.

3⁰/3² = 3⁰⁻² = 3⁻² = 1/9

Therefore, the simplified expression is 1/9.

The coefficient of XY in 7xy is 7

Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.

What is a coefficient?

A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.

Seven is the coefficient of XY in 7xy.

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The values of a and b in the fraction are 21/17 and -8/17

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

(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)

Take the LCM

So, the expression can be expressed as

(2x+5)/(x-8)(2x+1)=a(2x+1) + b(x-8)/(x-8)(2x+1)

Multiply both sides by (x-8)(2x+1)

(2x+5) = a(2x+1) + b(x-8)

Open the brackets

2x + 5 = 2ax + a + bx - 8b

By comparison, we have

2a + b = 2

a - 8b = 5

Make a, the subject in a - 8b = 5

a = 5 + 8b

Substitute a = 5 + 8b in 2a + b = 2

10 + 16b + b = 2

Evaluate the like terms

17b = -8

Divide by 17

b = -8/17

Substitute b = -8/17 in a = 5 + 8b

a = 5 + 8 * -8/17

Evaluate

a = 5 - 64/17

So, we have

a = 21/17

Hence, the values are 21/17 and -8/17

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Answer:

0

Step-by-step explanation:

625 / 25 = 25

55g + 25 = 25

55g = 25 - 25

55g = 0

g = 0/55

g = 0

Answer:

[tex] \sf \: g = 0[/tex]

Step-by-step explanation:

Given equation,

→ 55g + 25 = 625 ÷ 25

Now the value of g will be,

→ 55g + 25 = 625 ÷ 25

→ 55g + 25 = 25

→ 55g = 25 - 25

→ g = 0 ÷ 55

→ [ g = 0 ]

Hence, the value of g is 0.

Answer:

A

Step-by-step explanation:

[tex]-2<-1 \frac{5}{8}<-1[/tex], and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

Answer:

13.5 feet or 27/2

Step-by-step explanation:

4.5 x 3 = 13.5

Point O is where the diagonals in a rhombus MNLP intersect. If the side is 8 inches long and the measure of the angle MNL is 120 degrees, then NP is 8 inches.

A rhombus is a quadrilateral with all of its sides being the same length and both pairs of opposite sides being parallel. The following formula can be used to determine the length of diagonals when applying the law of cosines to triangles made out of the rhombus's diagonal (x) and sides(a): diagonal [tex]x=a\sqrt{2+2\cos \theta}[/tex].

Given the sides of the rhombus, MNLP is 8 inches each and the ∠MNL is 120°. Then, let's take the diagonal NP as x and calculate this using the above formula as follows,

[tex]\begin{aligned}x&=8\sqrt{2+2\cos120^{\circ}}\\&=8\sqrt{2+2(-0.5)}\\&=8\sqrt{2-1}\\&=\mathrm{8\;inches}\end{aligned}[/tex]

The required answer is 8 inches.

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Answer:

0 and - 10

-4 and - 15

Step-by-step explanation:

5 + (-1) = 5 - 1 = 4

Which does lie between

Hope it helps you in your learning process

Answer:

(0, 4)

Step-by-step explanation:

If x = 0, 4(3^x) = 4(3^0) = 4(1) = 4.  So the y-intercept is (0, 4)

Answer:

19 ( i think)

Step-by-step explanation:

1/8*(5/5)= 5/40

2/5*(8/8)= 16/40

16/40 + 5/40 =21/40

40-21= 19

Answer:

19 houses

Step-by-step explanation:

Answer:

The complement of 73° is 17°

The supplement of 73° is 107°

Step-by-step explanation:

Two angles in a complementary are equal to 90°

∴ For complementary:

73° + x = 90°

x = 90°- 73°

∴ x =  17 °

Two angles in a supplementary are equal to 180°

∴ For supplementary:

73° + x = 180°

x = 180° - 73°

∴ x =  107°

The stem represents the tens place and the leaves represent the unit place of each data point, allowing for easy visualization of the distribution of the data.

A stem-and-leaf plot is a type of graph used to display the distribution of a set of data. It is a way to show the frequency of different values in a dataset. In this case, it is showing the number of days of snowfall at a winter sports resort for each of the past 171717 years.

Continuous and discrete data distributions are the two main forms found in statistics. Continuous data is information having a wide range of possible values. When measuring this kind of information, such weight or temperature, a scale is frequently used. A histogram is another tool for representing continuous data.

The complete question will be :

The stem and leaf plot shows the number of days of snowfall at a winter sports resort for each of the past years. represents a year with days of snowfall. Here is the five-number summary for these data Five-number summary According to the - IQR rule for outliers, how many high outliers are there in the data set?

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Answer:

0

Step-by-step explanation:

The expected mass of the sample in the year of 2021 is given as follows:

9 mg.

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

The initial mass was of 130 mg, hence the parameter a is given as follows:

a = 130.

In two years, the mass decayed to 80 grams, hence the parameter b can be obtained as follows:

b² = 80/130

b = square root(80/130)

b = 0.78446454055.

This means that the exponential function for the mass of the sample in x years after 2010 is given as follows:

y = 130(0.78446454055)^x.

2021 is 11 years after 2010, hence the expected mass is obtained as follows:

y = 130(0.78446454055)^11

y = 9 mg.

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1/2

If there are 3 ponies, and 6 sheep,

the original ratio is 3/6.

However, it must be simplified down to 1/2.

Answer: 9

Step-by-step explanation: Simplify the expression = 3 *3 ( 2 /3 )

Cancel the common factor of  3  = 3*3

Raise  3  to the power of  2 = 9

The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction number is given below.

⇒ 27 ²/₃

Convert the mixed fraction number into a decimal number. Then we have

⇒ 27 ²/₃

⇒ 27 + ²/₃

⇒ 27 + 0.667

⇒ 27.667

The mixed fraction number 27 ²/₃ in the form of the decimal number will be 27.667.

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