F(x) = 1,200x + 400. What is the meaning of the y intercept of the function ?

The solutions of the equations are x = 1 and y = 2

The system of equations are

4x + 3y = 10

-4x + 5y = 6

Here we have to use the elimination method. Eliminate the x term and find the value of y term

Add both equation

3y + 5y = 10 +6

Add the like terms

8y = 16

y = 16 / 8

Divide  the terms

y = 2

Substitute the value of x in the first equation

4x + 3y = 10

4x + 3×2 =  10

Multiply the terms

4x + 6  = 10

4x = 10 - 6

4x = 4

x = 4 / 4

Divide the terms

x = 1

Hence, the solutions of the equations are x = 1 and y = 2

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Therefore, the probability that the first number divided by the second number is greater than zero is 1/3.

In mathematics, probability is a measure of the likelihood or chance of an event occurring. It is a way of quantifying uncertainty and expressing how likely it is that a particular outcome will occur. Probability theory is used in a wide range of fields, including mathematics, statistics, physics, engineering, economics, and social sciences. It is used to model and analyze random phenomena, make predictions, and estimate the likelihood of certain outcomes.

Here,

Since we are returning the first tile to the bag before selecting the second one, the two selections are independent of each other.

There are two cases to consider:

Case 1: We select a positive number on the first draw.

The probability of selecting a positive number on the first draw is 2/3, since there are two positive numbers (-12 and 1) out of a total of three tiles.

Regardless of what number we select on the first draw, there is only one negative number (-2) in the bag, so the probability of selecting a negative number on the second draw is 1/3.

Therefore, the probability of selecting a positive number on the first draw and a negative number on the second draw (which results in a quotient greater than zero) is:

(2/3) x (1/3) = 2/9

Case 2: We select the negative number (-2) on the first draw.

The probability of selecting the negative number (-2) on the first draw is 1/3.

In this case, we must select the positive number on the second draw in order for the quotient to be greater than zero. There is only one positive number (1) in the bag, so the probability of selecting it on the second draw is 1/3.

Therefore, the probability of selecting the negative number (-2) on the first draw and the positive number on the second draw (which results in a quotient greater than zero) is:

(1/3) x (1/3) = 1/9

Since these are the only two cases that satisfy the condition, the overall probability is the sum of the probabilities of these two cases:

2/9 + 1/9 = 3/9 = 1/3

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Answer:

See attached image

Step-by-step explanation:

See attached image

Answer:it might be A

The price should be higher than the AVC and ATC in order to make a profit in the short term. Therefore, in order to achieve the requisite profit, the MR curve must rise above cost = 7.

When businesses in a cutthroat sector start making money, it opens the door for more businesses to enter the market, which leads to a shift to the right in the supply curve, a drop in price, and the return of all businesses to a state of no economic profit.

If the market price is lower than the average total cost, a company will experience positive economic profit in the short term.

In the short run, a monopolistically competitive firm optimises profits or avoids losses by producing the amount where marginal revenue equals marginal cost. If the average total cost is less than the market price, the company will make a profit.

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Answer:

26,800

Step-by-step explanation:

Im not sure but thats what I got

Answer:

$0.405

I just took the test.

Answer:

-1/5

Step-by-step explanation:

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

They are equivalent.

Step-by-step explanation:

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation <  782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

The scale for the second values is 56/8 = 7

C = 3 x 7 = 21

C= 21

Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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The time that the ball traveled is given as follows:

1.5 seconds.

The quadratic function determining the ball's height after t seconds is given as follows:

H(t) = -16t² + 24t.

The roots of the quadratic function in this problem are given as follows:

-16t² + 24t = 0.

16t² - 24t = 0

8t(2t - 3) = 0.

Hence we apply the factor theorem as follows:

Hence the time is given as follows:

1.5 - 0 = 1.5 seconds.

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Heuristic is 0 for every city Heuristic is 1 for every city Selecting an inadmissible heuristic has a -50% penalty.

To find the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search, the following heuristics are admissible:

Manhattan distance ("go first east/west and then north/south") between a city and start city.

Euclidean distance ("as the crow flies") between a city and destination city.

Euclidean distance ("as the crow flies") between a city and start city.

Manhattan distance ("go first east/west and then north/south") between a city and destination city.

The following heuristics are inadmissible:

Twice the Euclidean distance ("as the crow flies") between a city and destination city.

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Answer:

Sydney is 31 years old.

Step-by-step explanation:

LET age of Devon be x years

and let age of Sydney be y years

if x=y-5-------(i)

x+y= 57 (sum)

Using (i)

(y-5)+y=57

2y=62

y=31

Answer:

2nd one is the equation.8x=2

Answer:

15% plus 40% would be 65%. its just what is left of 100%. The answer is 35%

Step-by-step explanation:

this is really easy. Try harder.

Answer:

525

Step-by-step explanation:

Add the available percent of stamps. 40% + 15%= 65%, a percent is over 100, so 65/100 of 1500 basically means 65/100 x 1500 which equals to 525.

Answer:

3/2 is greater than 1

Step-by-step explanation:

A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.

If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.

In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).

Hope that helps :)

Answer:

(-6,3)

Step-by-step explanation:

reflect over x=2, so you. move Y up by 2. 1+2 =3

The function representing the number of bacteria after t hours is N(t) = 5300 * (1 + 0.0592)^t, and the growth rate per hour is approximately 5.92%.

To represent the number of bacteria after t hours, we can use the exponential growth formula:

N(t) = N₀ * (1 + r)^t,

where N(t) is the number of bacteria after t hours, N₀ is the initial number of bacteria, r is the hourly growth rate, and t is the time in hours.

In this case, the initial number of bacteria is 5300, and the hourly growth rate can be determined from the doubling time of 12 hours. The growth rate can be calculated using the formula:

r = 2^(1/t_double) - 1,

where t_double is the doubling time in hours.

Substituting the given values, we have:

r = 2^(1/12) - 1 ≈ 0.0592.

Now we can write the function for the number of bacteria after t hours:

N(t) = 5300 * (1 + 0.0592)^t.

To determine the percentage of growth per hour, we can calculate the relative growth rate as a percentage:

percentage_growth = r * 100 ≈ 5.92%.

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

step 10 5 to the 10th power

Answer:

(HCF) of 72, 28 is 4.

LCM=504

Step-by-step explanation:

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer:

x=1/4, y=-1/2, z=1/3

Step-by-step explanation:

the answer can't be understood through typing check the age above

Answer:

x°=38°

y°=22°

Step-by-step explanation:

The angle that lies between a tangent and a chord is equal to the angle subtended by the same chord in the alternate segment (see image below of example of this if this explanation's unclear). This means:

<UDC=<DAC

38°=x°

The circle contains a cyclic quadrilateral ABCD (a shape with four sides within a circle whose corners are all on the circle edge). Opposite angles in a cyclic quadrilateral total 180°, which means:

<ADC+<ABC=180°

60+<ABC=180°

<ABC=120°

Since DA is parallel to CB, <DAC and <ACB are alternate interior angles and therefore equal, which means <ACB=<DAC=x°=38°

The angles in a triangle always add to 180°. Considering triangle ABC, this means:

<CAB+<ABC+<ACB=180°

y°+120°+38°=180°

y°=180°-158°=22°

Answer:

I think ans is 18 but i am not sure

Answer:

This involve bodmas..so bracket first..(8-4) is 4 so we will get 10+4*2/2

so multiplication next

10+8/2

10+4=14

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

c Describe the constraints of the domain .

Step-by-step explanation:

I know I'm correct