can you please solve this problem it is an exit ticket

Answer:

m  (parallel)  = 3 /4

Step-by-step explanation:

on the graph Y will start on two

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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The margin of profit is 700 dollars. To find the selling price of each ice cream, we need to divide the revenue by the number of ice creams sold: Selling price = Revenue / Number of ice creams sold.

Selling price = 5x / x Selling price = 5 dollars

So the selling price of each ice cream is 5 dollars.

To break even, the company must make enough revenue to cover its costs. We can set the revenue equal to the cost equation and solve for x:

Revenue = Cost 5x = 1.5x + 1750 3.5x = 1750  x = 500. Therefore, the company must sell at least 500 ice creams to break even.

To calculate the margin of profit, we need to subtract the cost from the revenue:

Profit = Revenue - Cost

Profit = 5x - (1.5x + 1750)

Profit = 3.5x - 1750

If 250 ice creams are sold, x = 250:

Profit = 3.5(250) - 1750

Profit = 875 - 1750

Profit = -875

Therefore, the margin of profit is -875 dollars, indicating a loss.

If 700 ice creams are sold, x = 700:

Profit = 3.5(700) - 1750

Profit = 2450 - 1750

Profit = 700

Therefore, the margin of profit is 700 dollars.

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Answer:

y = 0.30x + 0.70

Step-by-step explanation:

Assuming that the options are

A.

y = 1.90x + 0.40

B.

y=0.30x +0.70

C.

y= 0.90x + 0.30

D.

y= 1.30x + 1.70

(these might be in a random order for different people)

the answer would be B. y=0.30x +0.70

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

\(\sf \cos ^2\left(x\right)\)

Explanation:

\(\sf \sin \left(x\right)\csc \left(x\right)+\cos \left(\frac{3\pi }{2}-x\right)\sin \left(x\right)\)

\(\sf \sin \left(x\right)\csc \left(x\right)+\left(-\sin \left(x\right)\right)\sin \left(x\right)\)

\(\sf \sin \left(x\right)\csc \left(x\right)-\sin ^2\left(x\right)\)

\(\sf \cos ^2\left(x\right)\)

Answer:

\(\cos^2(\theta)\)

Step-by-step explanation:

Identities used:

\(\csc(\theta)=\dfrac{1}{\sin(\theta)}\)

\(\cos(\frac{3 \pi}{2}-\theta)=\cos(\frac{3 \pi}{2})\cos(\theta)+\sin(\frac{3 \pi}{2})\sin(\theta)\)

\(\textsf{As }\cos(\frac{3 \pi}{2})=0\textsf{ and }\sin(\frac{3 \pi}{2})=-1\)

\(\implies \cos(\frac{3 \pi}{2}-\theta)=0 \times\cos(\theta)+-1\times\sin(\theta)=-\sin(\theta)\)

\(\sin^2(\theta)+\cos^2(\theta)=1 \implies \cos^2(\theta)=1-\sin^2(\theta)\)

Therefore,

\(\sin(\theta) \times \csc(\theta)+\cos(\frac{3 \pi}{2}-\theta)\times\sin(\theta)\)

\(=\sin(\theta) \times\dfrac{1}{\sin(\theta)}-\sin(\theta)\times\sin(\theta)\)

\(=1-\sin^2(\theta)\)

\(= \cos^2(\theta)\)

After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given statement for the expression,

-(5/8)k - 8 + 2 + (1/3)k

Take LCM as 24 and solve the equation,

(-7k - 144) / 24

= (-7/24)k - 6

Therefore, this concludes that option C is correct.

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Answer:

d

Step-by-step explanation:

Answer:

3/3 cause in fractions the lower number is always higher

Step-by-step explanation:

The calculated measure of t from the given equation is 15 degrees

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

10

to

25°

When expressed properly, we have

10° + t° = 25°

Evaluate the like terms

So, we have

t° = 15°

Hence, the value of t° is 25°

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Therefore , the solution of the given problem of triangle comes out to be the triangle has a side c of 2.15 and angles A = 42.5°, B = 0°, and C = 40.3°.

If a polygon has at least one additional segment, it is a hexagon. Its structure is a simple rectangle. Something like this can only be distinguished from a regular triangular form by edges A and B. Euclidean geometry only creates a portion of the cube, despite the precise collinearity of the borders. A triangular has three sides and three angles.

Here,

The centers of the three circles must make an equilateral triangle because they are positioned so that they touch one another. Angles A and C are both 60 degrees, so we know this.

With lengths that are 5.4 and 4.4 in length, we can use the Law of Cosines to determine angle A:

=> cos(A) = (4.4² + 5.4² - 3.4²) / (2 * 4.4 * 5.4)

=> cos(A) = 0.731

=> A = cos⁻¹(0.731)

=>A ≈ 42.5°

We can apply the Law of Cosines once more to determine side b:

=> b² = 4.4² + 5.4^2 - 2 * 4.4 * 5.4 * cos(60)

=> b ≈ 2.15

Finally, we can apply the Law of Sines to determine angle C:

=> Sin(60) / 2.15 = sin(C) / 5.4 =

=> sin(C) ≈ 0.635

=> C ≈ sin⁻¹(0.635)

=> C ≈ 40.3°

As a result, the triangle has a side c of 2.15 and angles A = 42.5°, B = 0°, and C = 40.3°.

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The Perimeter of rectangle 3cm 5cm is 16 cm.

In geometry, a rectangle is a plane figure of four sides having four angles of 90 degree. A rectangle has different length and breadth.

Some important formulas for rectangle :

Perimeter is define as the distance around all the edges of a shape. In case of rectangle perimeter is the distance of all 4 edges i.e. 2 lengths and 2 breadth .

Thus , perimeter of rectangle = ( 2 × length ) + (2 × breadth)

                                                 = 2 ( length + breadth )

In the given question,

length of rectangle =  3cm

breadth of rectangle = 5cm

therefore, perimeter of rectangle = 2(3+5) = 16cm

Hence, The Perimeter of rectangle is 16 cm.

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

16 boxes

Step-by-step explanation:

16x5=80+150=230>15x16=240

Answer:

10 hours and 30 minutes.

Step-by-step explanation:

Hope it helps

The step that Inga could use to solve the quadratic equation is;

2(x² + 6x + 9) = 18 + 3.

The solution to the quadratic equation is calculated as follows;

2x² + 12x - 3 = 0

Add 3 to both sides to get;

2x² + 12x = 3

Divide through by 2 which is the coefficient of x² to get;

x² + 6x = ³/₂

Square half of the coefficient of x, and then add it both sides of the equation to get;

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

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Answer:  $4,000

Step-by-step explanation:

If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.

Since the commission rate is 40%, we can set up the equation:

40% x Total Sales = Commission Earned

We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:

40% x Total Sales = Commission Earned

40% x (15 x Price per Car) = $30,000

6 x Price per Car = $30,000

Price per Car = $5,000

However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:

Commission per Car = 40% x Price per Car

Commission per Car = 40% x $5,000

Commission per Car = $2,000

Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:

Amount earned per Car = Total Earnings / Number of Cars Sold

Amount earned per Car = $40,000 / 15

Amount earned per Car = $4,000

Answer:

\(\frac{7}{10}\)

Step-by-step explanation:

A percent is out of 100.

\(70\% = \frac{70}{100}=\frac{70/10}{100/10} =\boxed{\frac{7}{10}}\)

I hope this helps.

The most appropriate choice for function can be given by

q\(o\)p(3) =  \(\sqrt{15}+1\)

p\(o\)q(3) =  \(2\sqrt{3} + 10\)

What is function?

A function from A to B is a rule that maps to each element of A a unique element of B.

A is called the domain of the function and B is called the co domain of the function.

We can do addition, subtraction, multiplication, division and composition on functions.

Let f and g be two functions

f\(o\)g(x) = f(g(x)) and g\(o\)f(x) = g(f(x))

This is known as composition of function.

Here,

\(p(x) = x^2 + 6\\q(x) = \sqrt{x} +1\)

q\(o\)p(x) = q(p(x))

          =\(q(x^2+6)\)

          = \(\sqrt{x^2+6}+1\)

q\(o\)p(3) = \(\sqrt{3^2+6}+1\)

          = \(\sqrt{15}+1\)

p\(o\)q(x) = p(q(x))

          = p(\(\sqrt{x}+1\))

          = \((\sqrt{x}+1)^2+6\)

          = \(x + 1 + 2\sqrt{x} + 6\)

          = \(x + 2\sqrt{x} +7\)

p\(o\)q(3) = \(3 + 2\sqrt{3} +7\)

               \(2\sqrt{3} + 10\)

               \(2\sqrt{3} + 10\)

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Answer:

  hare

Step-by-step explanation:

Their average rates are ...

  tortoise: (220 mi)/(10 h) = 22 mi/h

  hare: (90 mi)/(2 h) = 45 mi/h

The hare has a faster speed than the tortoise.

Answer:

\(Total = 38^7\)

Step-by-step explanation:

Given

\(Plate\ Number = 7\ characters\)

\(Letters \to 26\) \(\to [A- Z]\)

\(Numbers \to 10\) \(\to [0 - 9]\)

\(Dash \to 1\) \(\to [ - ]\)

\(Ampersand \to 1\) \(\to [\&]\)

Required

Number of possible characters

Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.

The total possible characters (n) is:

\(n = 26 +10 + 1 + 1\)

\(n = 38\)

Any of the 38 characters can occupy any of the 7 spaces.

Hence, the total number of character is:

\(Total = n^7\)

\(Total = 38^7\)

Answer:

2323

Step-by-step explanation:

Mental math means to find a way to do this problem in your head without using paper, pencil or a calculator.

The question says there are 23 classes and each class is to collect 101 items.

The equation would be 23 x 101.

To do this in your head real quick, make the numbers easier to multiply.

Make the 101 items 100.  That means you are telling each class to collect 1 less item or 23 less items total.

You can do this in your head real quick.  23 classes collecting 100 items is 2300 items.

You had each class collect 100 items instead of 101.  That mean you didn't collect 23 items.   So if you add those back in, you will get

2323 items.

The value of x should be equal to 23

Given

Angle at the top is 86

also equation 3x + 17

The lines are parallel

We know if a transverse line is drawn across two parallel lines then 3 types of angles would form namely Corresponding angle, alternate angle, Opposite angle.

From the geometry  the angle 86 and the equations 3x + 17 are alternative angles.

Since alternative angles are equal 86 will be equal to 3x + 17

Now equating both

86 = 3x + 17

86 - 17 = 3x

69 = 3x

x = 23

Hence the value of x is equal to 23

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Answer: x=23

Step-by-step explanation:

Im not going to bore you with long algebra but basically 86-17=3x

69=3x inverse you get 23

Answer:

a: 5

I am dam sure

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

Step-by-step explanation:

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

Answer:

B

Step-by-step explanation: