6x-5y=10.5
5x-3y= -2
Solve by elimination method

so in the template above for a conic, the defining components are the coefficients A and C

If either A=0 or C=0, then the equation is a parabola

if A=C, then we have a Circle

if either A or C is negative, and A≠C, then we have a hyperbola

if A and C are both positive or both negative, and A≠C, then we have an ellipse.

Answer:

paro paro g

Step-by-step explanation:

fly high butterfly

Chloe runs her air conditioner for a total of 4 months, or 120 days. Chloe spends $176.40 per year on utility bills for the air conditioner during the four hottest months.

The reason for this expense is the need for cooling during these months, and the cost associated with running the air conditioner for 7 hours per day at a rate of $0.21 per hour.

To calculate the annual cost of running Chloe's air conditioner, we need to consider the number of hours per day, the cost per hour, and the number of days the air conditioner is used.

1. First, let's determine the total number of hours the air conditioner runs during the four hottest months:
7 hours/day * 30 days/month * 4 months = 840 hours

2. Now, we can calculate the total cost by multiplying the number of hours by the cost per hour:
840 hours * $0.21/hour = $176.40

At 7 hours per day, that's a total of 840 hours of use. At a cost of 21 cents per hour, Chloe spends 0.21 x 840 = $176.40 per year on utility bills for her air conditioner.

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The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.

In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'

We need to state whether it is true or false.

We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.

Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.

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Answer:

6x + y = 4

Step-by-step explanation:

Slope intercept form is y = mx + b

Standard form is ax + by = c

The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store, with both stores having the same price.

The difference between the two terms is that "difference" refers to the way in which two or more things are not the same, whereas "difference" is more of a comparison between two or more things.

The difference between the lowest price in store 1 and the lowest price in store 2 is the difference between the first digit of each store's key. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1.

The difference between the highest prices in store 1 and store 2 is the difference between the last digit of each store's key. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0.

The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1. This difference is reflected in the lowest prices of each store, with store 1 having a lower price than store 2.

The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0. This difference is reflected in the highest prices of each store, with both stores having the same price.

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To find the polynomial closest to another polynomial in an inner product space, you can follow these steps:

Choose an inner product on the space of polynomials. One common inner product on this space is the L2 inner product, which is defined as:

<f,g> = ∫a^b f(x)g(x) dx,

where a and b are the endpoints of the interval on which the polynomials are defined.

Let P be the space of polynomials of degree at most n, where n is the degree of the polynomial you want to approximate. Let f be the polynomial you want to approximate, and let g be an arbitrary polynomial in P.

Define the error between f and g as e = f - g.

Compute the inner product of e with itself:

<e,e> = ∫\(a^b (f(x) - g(x))^2 dx.\)

Minimize this inner product with respect to g. This can be done by setting the derivative of <e,e> with respect to g equal to zero and solving for g.

The polynomial that minimizes the error is the polynomial closest to f in the L2 sense.

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Answer:

The answers are 15,25,35 and 45

Step-by-step explanation:

The graph is only something to waste your time,use the equation to find the answers for each part

TOTAL AMOUNT (t) can be calculated by subtracting 10 from the ORIGINAL PRICE (p).

That is the equation t=p-10

Answer:

B.) A & B

Step-by-step explanation:

For example x^2-64= (x+8)(x-8)

\(23 + 2 < y \\ y > 25\)

ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.

Goodluck!!

Answer:

25 < y

Step-by-step explanation:

23 + 2 < y

25 < y

that's as much as it goes

Answer:

Step-by-step explanation:

Putting value of n = 3 in equation

(3)2 + 3 + 5

9 + 8

= 17

Answer:

17

Step-by-step explanation:

Given

n² + n + 5 ← substitute n = 3 into the expression

= 3² + 3 + 5

= 9 + 3 + 5

= 17

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Answer:

4 kilometrs

Step-by-step explanation:

if you add the 2 to another 2 you get four

Answer:

4 kilometres

Hope this helped!

Answer:

the answer is 6.

Step-by-step explanation:

solution is given in the photo

hi

let's rule ot first candidate with nothing :

as they are 4 , remains :  30 -4 = 26

Now let call X number  of candidate with both degrees and diplomas

we have :  17+15 -X = 26

                          -X = 26 - 32

                         -X = -6

                           x = 6  

We have to withdraw from categorie degree and diplomas 6 people who have both and then counted twice.  

So figues goes as follow :

nothing  :  4

degrees  only  :  11

diplomas only :   9

both degree and diplomas :  6

total :  4 +11 +9 +6 =  30

Answer:

Step-by-step explanation:

so go to the f g c and multiply my 6

Answer:

she can make 8 bouquets

Step-by-step explanation:

2 red flowers and 3 yellow flowers in each

2x8=16

3*8=24

Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

The time it will it take him to grade 150 papers is 32 minutes, 4 seconds

It is important to note that proportion is a method of comparison in which two expressions or equations are made equal to each other.

From the information given, we have that;

Mr. B grades a total of 12.5 papers in 2.7 minutes.

Then, for 150 papers, we would have;

If 12. 5 papers = 2.7 minutes

Then 150 papers = x

Cross multiply the values

12.5x = 2.7(150)

multiply the values

12.5x = 405

Divide the values by the coefficient of x, we get;

x = 405/12.5

x = 32 minutes, 4 seconds

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Answer:

1/2

Step-by-step explanation:

18 inches is 1 1/2 ft

so 1/2 since it is half a yard

Answer:

1) The correct option is;

b. Reflection over the y-axis

2) The correct option is;

a. Dilation by a scale factor of 1/2

Step-by-step explanation:

1) The rule for reflection over the y-axis is given as follows;

Given the point of the preimage before the reflection = (x, y), the point of the image after the reflection will be (-x, y)

The coordinate of a point on T1 is (-2, 4). The coordinate of similar point in T2 is (2, 4) which satisfies the rule for reflection over the y-axis

2) The length of a side in triangle T2 is given by the formula for finding the length, l, of segments between coordinate points as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Point 1, (x₁, y₁) = (2, 4)

Point 2, (x₂, y₂) = (6, 2)

The length = √((2 - 4)² + (6 - 2)²) = 2·√5

The length of the corresponding side in T3 is given as follows;

Point 1, (x₁, y₁) = (1, 2)

Point 2, (x₂, y₂) = (3, 1)

The length = √((1 - 2)² + (3 - 1)²) = √5

The length of of a side T3 = 1/2 of the length of a side of T2

Therefore. triangle T2 is transformed into triangle T3 by dilation with a scale factor of 1/2.

Answer:

The answer is $40.

Step-by-step explanation:

According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.

Then as x gets increased by 1 each week, the amount of change in the account per week is $40.

I hope this answer helps.

The value of f′(a) for the function f(t) = t^4 − 7t is given by 4a^3 - 7.To find f′ for the function , we need to take the derivative of f(t) with respect to t and then evaluate it at t = a.

To find f′(a) for the function f(t) = t^4 − 7t, we need to take the derivative of f(t) with respect to t and then evaluate it at t = a. The derivative of f(t) can be found using the power rule of differentiation: f'(t) = 4t^3 - 7. To find f′(a), we substitute t = a into the derivative: f'(a) = 4a^3 - 7.

Therefore, the value of f′(a) for the function f(t) = t^4 − 7t is given by 4a^3 - 7.

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Answer: 1/12

Step-by-step explanation:

The probability of not getting purple marble will be 64%. Then the correct option is A.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles.

The total number of marbles is given as,

Total marbles = 2 + 4 + 10 + 9

Total marbles = 25

Then the probability of not getting purple marble will be given as,

P = 1 - 9 / 25

P = 1 - 0.36

P = 0.64

P = 64%

Hence, The probability of not getting purple marble will be 64%. Then the correct option is A.

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Step-by-step explanation:

I understand this that we need to find a point B for each of a) to f).

remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.

a)

the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.

so, B = (-2 + 3, 5 + 2) = (1, 7)

b)

-2/3 means that either x or y have to decrease and the other to increase.

e.g. x increases by 3, y decreases by 2.

so, B = (-2 + 3, 5 - 2) = (1, 3)

c)

4 stands for 4/1.

so, x increases by 1, y increases by 4.

B = (-2 + 1, 5 + 4) = (-1, 9)

d)

similar to c) -3 stands for -3/1.

and similar to b) either x or y has to decrease and the other to increase.

e.g. x increases by 1, y decreases by 3.

B = (-2 + 1, 5 - 3) = (-1, 2)

e)

that means the y difference is 0. B has the same y coordinate.

e.g. B = (3, 5)

x can be any value.

the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.

f)

that means the x difference is 0. B has the same x coordinate.

e.g. B = (-2, 9)

y can be any value.

the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

It's 8.275. Hope that helped...

Answer:

The width of a rectangle is 6x + 8, and the length of the rectangle is 12x + 16. Determine the ratio of the width to the perimeter. Supply the following: a. Perimeter = 2l + 2w = _______________ b. Ratio = wP _______________________ c. Final answer in simplest form:

Statistical analysis will provide the answer to this question. In order to carry out a statistical analysis, the One Proportion applet was used with 100 repetitions to see if the toast landed buttered side down a majority (more than 50%) of the time.

When we drop a piece of buttered toast on the floor, is it just as likely to land buttered side up as buttered side down? Statistical analysis will provide the answer to this question. In order to carry out a statistical analysis, the One Proportion applet was used with 100 repetitions to see if the toast landed buttered side down a majority (more than 50%) of the time. Suppose that 7 of the last 10 times we dropped toast, it landed buttered side down. Then, we would like to know whether there is statistical evidence that the true proportion of the time the toast lands buttered side down is greater than 50%. We will use the following hypotheses: H0: p = 0.5 (the true proportion is 50%)

Ha : p > 0.5 (the true proportion is greater than 50%)

The test statistic is: z = (7 - 5) / (sqrt((0.5 * (1 - 0.5)) / 10)) = 0.89443

The p-value is: Prob(Z > 0.89443) = 1 - 0.31286 = 0.68714

Since the p-value is greater than 0.05 (or the significance level we are using), we fail to reject the null hypothesis H0. That is, we do not have enough evidence to claim that the true proportion of the time the toast lands buttered side down is greater than 50%. Hence, it seems that the toast does not follow any rules and there is no justification to say that it is just as likely to land buttered side up as buttered side down. The One Proportion applet showed no statistical evidence that the toast fell buttered side down a majority of the time. The hypothesis test failed to reject the null hypothesis H0 which suggests that the true proportion is 50%.

Therefore, No justification exists to say that it is just as likely to land buttered side up as buttered side down when we drop a piece of buttered toast on the floor. This is because the toast does not follow any rules, and statistical evidence suggests that we do not have enough evidence to claim that the true proportion of the time the toast lands buttered side down is greater than 50%. In addition, a One Proportion applet was used to test this hypothesis with 100 repetitions and found that there was no statistical evidence that the toast fell buttered side down a majority of the time. Therefore, it is uncertain how often the toast lands buttered side down.

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