What is the general form of this equation:

The line passes through the point (-2,4) with a slope -2/3

Answer:

1

Step-by-step explanation:

You could have just used a calculator tard lol

Answer:

1

Step-by-step explanation:

-7 +8=1 cause you have 1 positive left over

b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(n = 520, \pi = \frac{325}{520} = 0.625\)

Then the lower bound of the interval is given as follows:

\(0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57\)

The upper bound of the interval is given as follows:

\(0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68\)

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Solving the provided question, we can say that the quadratic equation is \((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\) and the roots of the polynomial are x = 1, -1, 4.

A quadratic polynomial in a single variable is represented by the equation  \(ax^{2}+bx+c=0\). a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions.

A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

the quadratic equation is

\((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\)

On multiplying,

⇒ \(x (x^{2} + 3x - 4) - (x^{2} + 3x - 4)\)

⇒ \(x^{3} + 3x^{2} - 4x - x^{2} - 3x + 4\)

⇒ \(x^{3} + 2x^{2} - 7x + 4\)

∴ We can say that LHS = RHS.

From given equation, the roots of the equation will be  -

\((x - 1)(x^{2} + 3x - 4)\)

⇒ x - 1 = 0

⇒ x = 1

\(x^{2} + 3x - 4 = 0\)

⇒ \(x^{2} - 4x + x - 4\)

⇒ \(x(x - 4) + 1(x - 4)\)

⇒ (x + 1) (x - 4)

⇒ x = -1, x = 4

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Answer:

36

Step-by-step explanation:

x = 9 and y = 3

3 times 3 equal 9 so if y is 12 then 12 x 3 = 36

Answer:

a+b=C

Step-by-step explanation:

because a b c  

Answer:

D)  9:20 am

Step-by-step explanation:

Train A's route = 20 mins

Train B's route = 80 mins

80 ÷ 20 = 4

Therefore, Train B's route is 4 times the length of Train A's route.

Therefore, the time Train A and B will leave the station at the same time will be the first time Train B leaves after 8am.

1 hour = 60 minutes

8am + 80 minutes = 8am + 1 hr + 20 minutes = 9:20 am

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

38.1%

Step-by-step explanation:

58 - 42 = 16

16 over 42

8/21

38.1%

Answer:

A) less than

Step-by-step explanation:

4 times 6 is 20

24 inches is 2 feet

So, it is A because 20 is less than 24.

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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Answer:

45 ?

Step-by-step explanation:

Answer:

not sure but I think the answer is 54 miles here's why.

Step-by-step explanation:

I divided 75 by 3 and got 25 but then I multiplied 3 times 18 and got 54 again I'm not sure but I hope this helps :)!

Answer:

\(y=\frac{1}{6}x-1\)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope of the line and b is the y-intercept.

For this problem, the equation can be manipulated into the desired form:

\(2x-12y=12\\2(x-6y)=12\\\frac{2(x-6y)}{2}=\frac{12}{2}\\x-6y=6\\(x-6y)+6y=(6)+6y\\x=6+6y\\x=6(1+y)\\(\frac{1}{6})x=\frac{6(1+y)}{6}\\\frac{1}{6}x=1+y\\(\frac{1}{6}x)-1=(1+y)-1\\y=\frac{1}{6}x-1\)

Step-by-step explanation:

Step 1 : Set g(x) = y

y = -1/2 x + 3

Step 2 : Make x the subject

y - 3 = -1/2x

1/2x = 3 - y

x = 2(3 - y)

x = 6 - 2y

Step 3 : Replace y by x and equat3 it to g^(-1)(x)

g^(-1)(x) = 6 - 2y

Answer:

$140

Step-by-step explanation:

Answer:

x²-2

Explanation:

Let the number be x.

The square of the number = x²

If 2 is subtracted from the square of the number, we have:

Therefore, an algebraic expression for the statement "2 is subtracted from the square of a number" is x²-2.

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Step-by-step explanation:

2,300×3÷7=985.71 The amount of money saved

2300×1÷10=230the amount of entertainment

985.71+230=1215.71 total

1215.71÷2300=0.5285 Entertainment money + reserve money ÷ total money

The income that he plan to spend each month on these two items together is 0.5285.

A fraction represents a part of a number or any number of equal parts.

Given; Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment.

We need to find the income that he plan to spend each month on these two items together.

The amount of money saved;

2,300×3÷7 = 985.71

The amount of entertainment;

2300×1÷10=230

The total 985.71 + 230 = 1215.71

Now, Entertainment money + reserve money ÷ total money

1215.71÷2300 = 0.5285

The income that he plan to spend each month on these two items together is 0.5285.

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Its dividing by -2

................................

Answer:

1 + 1 = 2

Step-by-step explanation:

^

Answer:

no , it's happening to everyone , even I can't see it .

Answer:

206 ft

Step-by-step explanation:

Each wire is a hypotenuse of a right triangle in which the height of the tower is one leg and the distance from the anchor of the wire to the base of the tower is the other leg.

Leg 1: 200 ft

Leg 2: 50 ft

Hypotenuse: x

200² + 50² = x²

x² = 40,000 + 2,500

x² = 42,500

x = √42,500

x = 206

Answer: 206 ft

Enola needs to contribute $4,330.68 per month to the account.

Let's denote the monthly contribution as X.

The interest rate is 0.4% per month.

Since Enola plans to save for 3 years, the total number of months is:

= 3 * 12

= 36 months.

Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods

We will plug values:

$5,000 = X * (1 + 0.004)^36

X = $5,000 / (1 + 0.004)^36

X = $5,000 / (1.004)^36

X = $4,330.68248

X = $4,330.68.

Answer:

Correct option: D. 0.6

Step-by-step explanation:

The Venn diagram shows that there is no intersection between events A and B, so we have that:

P(A and B) = 0

Therefore the probability of A or B is:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = P(A) + P(B)

So, If the sum of the probabilities needs to be 1, we have that:

Total = P(A or B) + P(neither)

Total = P(A) + P(B) + P(neither)

1 = 0.2 + P(B) + 0.2

P(B) = 1 - 0.2 - 0.2 = 0.6

So the correct option is D.

Answer:0.6

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Given:  1) weight of Dylan= 45 pounds

            2) weight of Alan= 3 pounds more than twice the weight of Dylan

            3)weight of Bruce = 12 pounds less than three times the weight of

                                               Dylan.

To Find: How much more does Bruce weighs than Alan .

Solution:

weight of Dylan= 45 pounds

weight of Alan= 3 pounds more than twice the weight of Dylan

                        = 3 + ( 2×45)  pounds

                        = (3+ 90) pounds

                        = 93 pounds  

weight of Bruce= 12 pounds less than three times the weight of Dylan

                          = (3× 45) - 12  pounds

                          = (135) - 12 pounds

                          = 123 pounds

therefore, the amount by which Bruce weighs more than Alan will be given by:

weight of Bruce - weight of Alan

= 123 pounds - 93 pounds

= 30 pounds

Hence, Bruce weighs 30 pounds more than Alan.

The solution of the equation 4x - 3  = 5 is not extraneous .

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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Answer:

x^2 - 2x - 12

Step-by-step explanation:

Answer:

-4x^2 -2x -6

Step-by-step explanation:

The volume of a standard NBA basketball is 7,329 cm³.

The volume of a sphere is given by the formula,

V = 4/3×π×r³

Given the diameter of the ball is 24.1 cm, therefore, the radius of the ball will be 12.05cm (half the diameter of the ball). Thus, the volume of the NBA basketball will be,

V = 4/3 × π × (12.05)³

V = 7,329.084 cm³ ≈ 7,329 cm³

Hence, the volume of a standard NBA basketball is 7,329 cm³.

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