PLEASE HELP WITH ALGEBRA 1
Complete the square.
4t²-16t+12

Answer:

-7

Step-by-step explanation:

-12 +5

Since the signs are different

Take the larger number and subtract the smaller number

12-5 =7

Take the sign of the larger

-7

Answer:

-7 is the answer

\(( - 12) + (5) \\ = 7\)

The Pythagorean theorem is not satisfied since dAB² + dBC² ≠ dAC². Therefore, AABC is not a right triangle.

AABC is a scalene triangle with no sides of equal lengths. A triangle is said to be scalene when it has all its sides with different lengths. The side lengths of the AABC triangle can be calculated using the distance formula, which is given by'd = √((x2 - x1)² + (y2 - y1)²)Where d is the distance between two points (x1, y1) and (x2, y2).

Using the distance formula, we can calculate the length of each side of the AABC triangle. For side AB: dAB = √[(5 - (-6))² + (-1 - 2)²]= √(11² + (-3)²)= √130For side AC:dAC = √[(4 - (-6))² + (4 - 2)²]= √(10² + 2²)= √104For side BC:dBC = √[(4 - 5)² + (4 - (-1))²]= √((-1)² + 5²)= √26Since all the three sides have different lengths, the triangle AABC is a scalene triangle.

As for the second part of the question, we will check if it is a right triangle by determining if it has a right angle. We know that a right triangle is one that has one angle measuring exactly 90 degrees, and in such a triangle, the side opposite to the 90-degree angle is called the hypotenuse.

To determine if AABC is a right triangle, we can calculate the length of all the sides. Then we can check if the Pythagorean theorem holds, that is, the sum of the squares of the two smaller sides equals the square of the hypotenuse.If the Pythagorean theorem holds, then the triangle is a right triangle. If it doesn't, then the triangle is not a right triangle.

Using the distance formula above, we can determine the length of the three sides of the AABC triangle. Then we will compare the sides to determine if they satisfy the Pythagorean theorem. We have:dAB² + dBC² = √130² + √26²= 13,000 + 676= 13,676dAC² = √104²= 10,816

The Pythagorean theorem is not satisfied since dAB² + dBC² ≠ dAC².

Therefore, AABC is not a right triangle.

For more questions on Pythagorean .

https://brainly.com/question/21332040

#SPJ8

As a result, we can assume that the fast-food business added about 3,454 new outlets in 2005.

What are equations used for?

A mathematical equation, such as 6 x 4 = 12 x 2, states that two variables or values are equivalent. a meaningful noun. An equation is used when two or maybe more factors must be considered jointly in order to understand or explain the whole situation.

We can apply the following formula to find an exponentially model that matches the data:

y = abˣ

Where x is the length of time after 1988, y is the number of fresh restaurants that open each year, and a and b are undetermined constants.

We may use the information from the years 1988 and 1989 to get the constants a and b:

49 = ab⁰

81 = ab¹

As a result of the first equation, a = 49. When we put it in the second equation, we obtain this result:

81 = 49b¹

b = 81/49

The following is the exponentially model that best matches the data:

y = 49(81/49)ˣ

Since 2005 is 17 years after 1988, we need to determine the value of y when x = 17 in order to figure out the number of new eateries that debuted in 2005:

y = 49(81/49)¹⁷

y ≈ 3,454

To know more about Equation visit:

https://brainly.com/question/29538993

#SPJ9

Answer:

(x+3) (x+4)/2x

Step-by-step explanation:

We know at centroid medians bisect each other in the ratio 2:1.

\(\\ \sf\longmapsto TY=2x\)

\(\\ \sf\longmapsto 2x=30\)

\(\\ \sf\longmapsto x=\dfrac{30}{2}\)

\(\\ \sf\longmapsto x=15\)

Answer:

A

Step-by-step explanation:

On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then

YW = \(\frac{1}{2}\) × TY = \(\frac{1}{2}\) × 30 = 15

Answer: 0.20 %

Step-by-step explanation:

300x= 0.60

x = .60/300 = 0.002

0.002 x 100 = 0.20%

The percentage equivalent is 0.02 .

Given,

Percent of 300 is 0.6

Here,

Let the number in percentage form be x ,

Now write the equation in terms of x,

300 * x% = 0.60

3x = 0.06

x = 0.02 %

Thus the percentage equivalent is 0.02% .

Know more about percentage,

https://brainly.com/question/23418123

#SPJ6

Answer:

Output is n - 4

Step-by-step explanation:

It follows a pattern.  Output = Input - 4

The ratio of the average inventory level in this scenario over the optimal average inventory is approximately 0.103.

To find the ratio of the average inventory level in this scenario over the optimal average inventory, we need to calculate the average inventory levels for both scenarios.

For the given scenario:

Order Quantity = 1,600 kilograms

Daily Usage Rate = 80 kilograms/day

Lead Time = 4 days

Total Demand (annual) = 80 kilograms/day * 365 days

= 29,200 kilograms

Ordering Cost = $200 per order

Holding Cost = $0.5 per kilogram per day

Using the Economic Order Quantity (EOQ) formula, the optimal order quantity can be calculated as follows:

EOQ = √((2 * Ordering Cost * Total Demand) / Holding Cost)

= √((2 * $200 * 29,200) / $0.5)

= √(116,800,000)

≈ 10,806 kilograms

Now, let's calculate the average inventory level for the given scenario:

Average Inventory = (Order Quantity / 2) + (Daily Usage Rate * Lead Time)

= (1,600 / 2) + (80 * 4)

= 800 + 320

= 1,120 kilograms

To find the ratio, we divide the average inventory level for the given scenario by the optimal average inventory:

Ratio = Average Inventory / Optimal Average Inventory

= 1,120 / 10,806

≈ 0.103

To know more about average inventory,

https://brainly.com/question/28256013

#SPJ11

Answer:

first one is 8 second one is 28

Step-by-step explanation:

correct on edge

Answer:

6

Step-by-step explanation:

72 divided by 12 equals 6

Answer: it is (a)

explanation: in took the test :)

Step-by-step explanation:

9868866858566586575765578

Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Therefore , the solution of the given problem of unitary method comes out to be music video cost =  $1.99.

After establishing the size of a little slice, multiply the quantity by two to complete a task utilizing unitary technique. Simply expression the unit technique serves to isolate a programmed thing from a certain set or sets of sets. For example, the price of 40 pens is 400 pounds ($1.01) or Rs. It's possible that one country will have total control over the method employed to do this. Almost every living creature has a distinctive quality. It can equally integrate and reciprocate (mathematics, algebra).

Here,

Given :

2  music videos , a TV series and a movie worth $42.95

Let x be the cost of  movie

From given information,

we can say

Cost of TV series  = 2x

So ,

equation comes out to be x = 12.99 for movie

So TV series cost = 2 * 12.99 = 25.98

So ,

=> 2 music videos + 25.98 + 12.99 = 42.95

=> 2 music videos + 38.97 = 42.95

=>  2 music videos = 42.95 - 38.97

=> music video cost = 3.98 /2

=> music video cost =  $1.99

Therefore , the solution of the given problem of unitary method comes out to be music video cost =  $1.99.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

Please see picture below

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

the square root is 8

Step-by-step explanation:

The x-y table is completed as follows:

1) y = 11 where x = -6

y = 7 where x = -3

y = 3 where x = 0

y = -1 where x = 3

2) f(6) results in y = -5

3) the intercept of the equation  4x + 3y = 9 are (0,3). See the attached graph.

To derive the y values given in (1) above, all that we need to do is plug in th value of x into the equation and solve. Here is an example:

Given 4x + 3y = 9, the value of y when x = -6 is:

4(-6) + 3y = 9

⇒ -24 + 3y = 9

Collect like terms over the equals sign and we have:

3y = 9+ 24
3y = 33 (divide both sides by 3)
3y/3 = 33/3

y = 11

The above steps can be repeated for all other cases of x to get y.

2) f(6) simply means to find y when x is set to 6. The steps above apply.

f(x) = 4x + 3y - 9

-3y = 4(6) -9

-3y = 24-9
-3y = 15 (divide both sides by -3)

-3y/-3 = 15/15

y = -5


3) Note that when a point crosses the y-axis, it is referred to as the y-intercept. The intercept of a line is the point at which it intersects the x-axis or the y-axis. If no axis is supplied, the y-axis is normally used. The letter 'b' is commonly used to represent it.

Learn more about intercept;
https://brainly.com/question/29113022
#SPJ1

Answer: (3,0)

Step-by-step explanation: Since (0,3) is on the y-axis, it is basically a mirror to the x-axis. So, you just flip those numbers around which causes you to get (3,0). Have a nice day!

1) The probability density function is 1 - ∫[0, 1200] f(x) dx.

2) The probability density function is  1 - ∫[0, 1200] f(x) dx.

To estimate the probability that the total life of all components will exceed 1200, we need to consider two scenarios: one with exponentially distributed lifetimes and another with uniformly distributed lifetimes.

1) Exponentially Distributed Lifetimes:

Given that the lifetime of component i is exponentially distributed with a mean of 10 + i/10, we can calculate the failure rate (λ) for each component as λ = 1 / mean.

The total life of all components can be modeled as a sum of exponentially distributed random variables. Since the sum of exponential random variables follows a gamma distribution, we can use the gamma distribution to estimate the probability.

Let's denote the lifetime of component i as Xi, and the total life of all components as T = X1 + X2 + ... + X100.

The mean of the gamma distribution for the total life is given by E(T) = Σ(E(Xi)) = Σ(1 / λi), where λi is the failure rate of component i.

1.1 Calculation:

The probability that the total life of all components will exceed 1200 can be estimated as follows:

P(T > 1200) = 1 - P(T ≤ 1200)

= 1 - ∫[0, 1200] f(x) dx,

where f(x) is the probability density function of the gamma distribution with appropriate parameters.

2) Uniformly Distributed Lifetimes:

Given that the lifetime of component i is uniformly distributed over (0, 20 + i/5), we can calculate the mean lifetime for each component using the formula for the mean of a continuous uniform distribution: mean = (a + b) / 2, where a and b are the endpoints of the distribution.

The total life of all components can be modeled as the sum of uniformly distributed random variables. Since the sum of uniform random variables follows a Irwin-Hall distribution, we can use the Irwin-Hall distribution to estimate the probability.

Again, let's denote the lifetime of component i as Xi, and the total life of all components as T = X1 + X2 + ... + X100.

The mean of the Irwin-Hall distribution for the total life is given by E(T) = Σ(E(Xi)) = Σ((a + b) / 2), where a and b are the endpoints of the uniform distribution for each component.

2.1 Calculation:

Similarly, we can estimate the probability that the total life of all components will exceed 1200 using the Irwin-Hall distribution:

P(T > 1200) = 1 - P(T ≤ 1200)

= 1 - ∫[0, 1200] f(x) dx,

where f(x) is the probability density function of the Irwin-Hall distribution with appropriate parameters.

Correct Question :

We have 100 components that we will put in use in a sequential fashion. That is, component 1 is initially put in use, and upon failure, it is replaced by component 2, which is itself replaced upon failure by component 3, and so on. If the lifetime of component i is exponentially distributed with mean 10 + i/ 10, i = 1, . . . , 100, estimate the probability that the total life of all components will exceed 1200. Now repeat when the life distribution of component i is uniformly distributed over ( 0, 20 + i/ 5), i = 1, . . . , 100.

To learn more about probability density function here:

https://brainly.com/question/31039386

#SPJ4

The value of W''(5/2) is 2/3.

Given: W(t) = ∫ ln(x - 1) dx, where the limits of integration are from 2 to t.

To find the first derivative, we can apply the Fundamental Theorem of Calculus:

W'(t) = d/dt [∫ ln(x - 1) dx]

By the chain rule, we have:

W'(t) = ln(t - 1) * d/dt(t) - ln(2 - 1) * d/dt(2)

Since d/dt(t) = 1 and d/dt(2) = 0, the equation simplifies to:

W'(t) = ln(t - 1)

Now, to find the second derivative, we differentiate W'(t) with respect to t:

W''(t) = d/dt [ln(t - 1)]

By the chain rule, we have:

W''(t) = 1/(t - 1) * d/dt(t - 1)

Since d/dt(t - 1) = 1, the equation simplifies to:

W''(t) = 1/(t - 1)

Now, we can evaluate W''(5/2) by substituting t = 5/2 into the equation:

W''(5/2) = 1/((5/2) - 1)

W''(5/2) = 1/(5/2 - 2/2)

W''(5/2) = 1/(3/2)

W''(5/2) = 2/3

Therefore, W''(5/2) = 2/3.

Learn more about Differentiation here:

https://brainly.com/question/24062595

#SPJ1

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

Learn more about Pythagorean Identity here:https://brainly.com/question/24287773

#SPJ1

20

Step-by-step explanation:

the distance from A to D is 36 units. One sixth of 36 is six. Six plus 14 is 20

Answer:

-12.5333333333

Step-by-step explanation:

her3e

The circumference with radius of 10.4 ft is 65.3 ft. The result is obtained by using the formula for circumference.

Circumference is also called the perimeter of a circle. It can be expressed as

P = 2πr

Where

The circumference with the radius = 10.4 ft.

We have

Find the circumference! (to the nearest tenth)

The circumference will be

P = 2πr

P = 2(3.14)(10.4)

P = 65.3 ft

Hence, the perimeter of the circle to the nearest tenth is 65.3 feet.

Learn more about perimeter of a circle here:

brainly.com/question/30432694

#SPJ4

Answer:

Sueldo neto= $160.000

Step-by-step explanation:

Dada la siguiente información:

Sueldo bruto= $200.000

Descuento total= 20%

Para calcular el sueldo neto, debemos usar la siguiente formula:

Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)

Sueldo neto= 200.000*( 1 - 0.2)

Sueldo neto= $160.000

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).