Solve in simplest form

Answer:

a) y = (x + 1)^2 - 3

b) minimum

c) (-1, -3)

Step by step:

We start with the equation:

y = x^2 + 2*x - 2

First, we want to complete the square to write the equation in the vertex form.

y = (x - h)^2 + k

Such that the vertex is (h, k)

To complete the square, we can write this as:

y = x^2 + 2*1*x - 2

Now we can add and subtract 1

y = x^2 + 2*1*x + 1 - 1 - 2

y = (x^2 + 2*1*x + 1) - 3

The thing inside the parentheses can be written as:

x^2 + 2*1*x + 1 = (x + 1)^2

Then the quadratic equation will be written as:

y = (x + 1)^2 - 3

This is the vertex form.

b) Now we want to know if the vertex is a minimum or a maximum.

Remember that the leading coefficient tells use if the graph of the function opens up or down.

If the leading coefficient is positive, the graph opens up (then the vertex is a minimum)

If the leading coefficient is negative, the graph opens down (then the vertex is a maximum)

In this case, we can write:

y = 1*(x + 1)^2 - 3

The leading coefficient is 1, positive.

Then the vertex is a minimum.

c) The coordinates of the vertex are:

Remember that in the vertex form:

y = (x - h)^2 + k

the vertex is (h, k)

Then the vertex of our equation is:

(-1, - 3)

yes it can be possible as per ur luck

Step-by-step explanation:

Triangle ABC is usually followed the AB=BC = AC

The statements to determine that triangle ABC is an equilateral triangle are, ∠A ≅ ∠B, ∠A ≅ ∠B ≅ ∠C, AB = BC and AB = BC = AC.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In an equilateral triangle, The length of all the sides are equal and the measure of all the individual angles is 60°.

Therefore, The statements that makes the given triangle ABC an equilateral triangle is,

∠A ≅ ∠B.

∠A ≅ ∠B ≅ ∠C.

AB = BC.

AB = BC = AC.

Q. Choose all of the statements that contain enough information to determine that triangle ABC is an equilateral triangle.

A. ZA ZB

B. ZA ZB ZZC

C. MZA + m2C = 90°

D. AB = BC

E. AB = BC = AC

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Answer:

It’s graph B

Step-by-step explanation:

If you look at graph A, the y intercept will be at -3 instead of a negative 5.

Good luck!

The value of each trigonometric ratio is given by :

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

As given in the question,

Let us consider a triangle be ABC,

Figure is attached.

Side length is given by:

AC = 39

AB = 36

BC = 15

AC represents the longest side

( 36 )² + (15)² = (39)²

⇒AB² + BC² = AC²

By Pythagorean triplets ABC is right angled triangle.

All trigonometric ratio with respect to angle A is given by :

sin A = BC / AC

        = 15/39

        = 5/13

cos A = AB / AC

         = 36 /39

         = 12 /13

tan A = BC / AB

         = 5 /12

cosec A = 1/ sin A

              = 13 /5

sec A = 1/ cos A

         = 13 /12

cot A = 1 / tan A

         = 12 /5

Therefore , the value of all six trigonometric ratio is equal to

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

The above question is incomplete , the complete question is :

Find the value of each trigonometric ratio tan A

Figure is attached.

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Answer:

y=15(2)ˣ

Step-by-step explanation:

If each term is being multiplied by 2 starting with 15, then the exponential equation that models this sequence is y=15(2)ˣ where x is the nth term of the sequence.

Answer:

mrk me brainliest first plzz

Step-by-step explanation:

Answer:

64 + 28 = 92

Step-by-step explanation:

Split the figure in half creating two triangles and a square.

length and width for the square would be 8ft and 8ft. Multiply both for 64 to be the area.

7ft and 4ft are the height and base for the triangles.

In this case, just multiple 7 and 4 because normally you would need to divide the product by 2 however since there are two triangles it negates the step.

Answer:

92ft^2

Step-by-step explanation:

you have to find the are of the triangle and subtract it from the area of the rectangle.

area of the triangle is 28ft^2

area of the rectangle is 120ft^2

120-28 =  92

Answer:

may be that is not V that mau be some numbers

The range of a sample data collected by a researcher is 10 . So, correct answer is option (C).

Range of a sample data is calculated by using the formula to determine the difference between the highest and lowest value in sample set of values.

R = Highest Value (H) - Lowest Value (L)

Range Formula, R = H - L

Where, R --> range

H --> the highest value

L --> the lowest value

We have, a reaseacher collected a sample data .

Sample data values are following,

3 5 12 3 2

The mean of sample data = 5

Range of sample data = highest data value - lowest data value

There is highgest data value = 12

and lowest data value = 2

Range = 12 - 2 = 10

So, the required range of sample data is 10.

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Complete question:

A researcher has collected the following sample data. The mean of the sample is 5

"3 5 12 3 2"

Refer to Exhibit 1. The range is:

A)1

B)2

C)10

D) 12

Answer:

C. Last week it rained every day in San Antonio, Texas

Step-by-step explanation:

Climate is the long-term pattern of weather and temperature. The third answer does not talk about the weather of San Antonio from a long-term perspective, instead, it only discusses a week. The climate of San Antonio should refer to the rain patterns of multiple years, not days.

Answer: m = -1/10

Step-by-step explanation:

Use the slope formula to find the slope m.

m = −1/10

The amount of money owned by JIm is $9

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

The ratio of the amount owned by Tim tohe ratio of the amount owned by Jim is 6 : 1

This means that

Tim : Jim = 6 : 1

Also from the question, we have

Tim gets $54

This means that

Tim = 54

Substitute the known values in the above equation, so, we have the following representation

54 : Jim = 6 : 1

Multiply by 9

54 : Jim = 54 : 9

So, we have

Jim = 9

Hence, the amount is $9

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Answer:

10

Step-by-step explanation:

212-198= 14 rounded down to 10

Answer:

x = - 2, x = 1

Step-by-step explanation:

Given

f(x) = [tex]\frac{x}{(x+2)(x-1)}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving for x gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

(x + 2)(x - 1) = 0

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Vertical asymptotes occur at x = - 2 and x = 1

Three straight sides and three angles make up the shape of a triangle. The angles of a triangle can either be acute, right, or obtuse. An angle with three acute angles is a triangle where all three angles measure less than 90 degrees.

A triangle is a three-sided shape with three angles. The sum of the internal angles of a triangle is always 180 degrees. An angle is the amount of turn or change in direction between two lines. There are three types of angles, acute, right and obtuse. An acute angle is an angle which measures less than 90 degrees. A right angle is an angle which measures exactly 90 degrees, and an obtuse angle is an angle which measures more than 90 degrees. Therefore, an angle with three acute angles is a triangle where all three angles measure less than 90 degrees. A triangle with three acute angles is also known as an acute triangle. All three angles must add up to 180 degrees, so the measure of each angle must be less than 60 degrees.

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Answer:

Step-by-step explanation:

5 : 25

In simplest form

1 : 25

In fraction form

1/25

In decimal form

0.04

150 : 300

In simplest form

1 : 2

In fraction form

1/2

In decimal form

0.5

Answer:

254.88

Step-by-step explanation:

198 + 6% + 45

Answer:

x = 72 degrees

y = 9.125 cm

Step-by-step explanation:

the sum of degrees of all angles in a triangle is 180.

because the triangles are similar, all the angles must be the same in both. and the side lengths of one triangle must all have the same scaling factor compared to the other triangle.

the similarity tends is that the angle at E is the same as at B (48 degrees). so, then the angles at C are 60 degrees. that leaves for the angle at D (x) 180 - 60 - 48 = 72

BC (8) is scaled to CE (10) by the factor 10/8 = 5/4

so, y must have the same scaling factor in relation to AB (7.3)

y = 7.3 × 5/4 = 9.125

The group that would probably give you the most reliable data is tourists who have visited the beaches. Option C is the correct answer.

In order to gather information about a service, product, or process, a survey is described as an act of looking at a process or interviewing a predetermined sample of people. Surveying beachgoers who have previously been there will yield more accurate results regarding the greatest beaches because they can share their personal experiences.

Surveying those in charge of the beaches is not a smart idea since they would be prejudiced in saying that their beaches are the finest. As a result, the third choice is the best one.

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Answer:

Cost price = R.S 20

Sales price = R.S 22

Step-by-step explanation:

Given:

Sales price of an article = R.S 23

Profit = 15%

Find:

Cost price

Sales price if profit is 10%

Computation:

Profit% = [(Sales price - Cost price) / Cost price]100

15 = [(23-cp)/cp]100

15cp = 2,300 - 100cp

115cp = 2,300

Cost price = R.S 20

Sales price if profit is 10%

Sales price = Cost price + Profit

Sales price = 20 + 10%[20]

Sales price = 20 + 2

Sales price = R.S 22

The probability that the vehicle you choose has any color other than the six listed is 0.295.

In the given question, the probabilities of the most popular colors for vehicles made in North America in 2000 is given as:

Color:          Silver   White   Black   Dark green   Dark blue   Medium red

Probability:  0.176   0.172   0.113         0.089         0.088          0.067

We have to find the probability that the vehicle you choose has any color other than the six listed.

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (the sum of the vehicle that are listed)

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (0.176 + 0.172 + 0.113 + 0.089 + 0.088 + 0.067)

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - 0.705

P(the probability that the vehicle you choose has any color other than the six listed) = 0.295

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Answer:

B32

its goes 1 - 3 down and 1- 4 on top so go 3 down and 2 over - B 32

log with base 10 is mainly used to simplify manual computation and it is also related to the decimal system. if we calculate the log of any variable with base 10, then an integer just greater than that calculated value gives the number of digits in that number.

likewise, log with base 2 is used in digital and computer applications where binary system prevails.

The worth of log e is around equal to 0.4342944819 where log e has a base value equal to 10.

1. The value of log e base 10 is around equal to 0.4342944819.

2. The value of log e with base e, that is, ln the e value is equal to 1.

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Answer:

39 in the filmmaking club

25 in the yearbook club

Step-by-step explanation:

X =14+y

14+y + y = 64

14 +2y = 64

2y=50

y=25

if y is 25 then subtract 25 from 64 to get x

64-25=39

Answer:

a bucket contains two red, three white and one green ball.

If three balls suddenly come off, what is the chances of getting two white balls from those balls

Answer: go to bitly and type

Step-by-step explanation: 3f3FcEi

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<

Here,

Let the quantity of sold laptops, x

y —- the quantity of sold smartphones

The fact that to solve this problem we use inequality help

The problem's underlying inequity is equal to

=> 80x + 60y ≥6800

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

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Answer:

2

Step-by-step explanation:

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Step-2: Prime Factorization of 32

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

Step-3: Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1, 2, 7

Step-4: Factors of 32

List of positive integer factors of 32 that divides 14 without a remainder.

1, 2, 4, 8, 16

Final Step: Greatest Common Factor Number

We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number.

So the greatest common factor 14 and 32

Answer:

232 Hours

Step-by-step explanation:

Given data

Duration of game= 58 hours

Number of games played= 4 games

Hence the total duration for these four games is

=58*4

=232 Hours

Therefore Charlie spent 232 Hours playing games