Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Complete The Square To Write Each Equation In Vertex Form. Then, State Whether The Vertex Is A Minimum

Answers

Answer 1
Direction: Opens upCoordinates of the vertex:  (-1, -3)Vertex: -3The vertex is a minimumAxis of symmetry: x = -1Vertex form: [tex]y = (x + 1)^{2} -3[/tex]
Answer 2

Answer:

          vertex form:    y = (x + 1)² - 3           the vertex is minimum           coordinates of the vertex:  (-1, -3)

Step-by-step explanation:

[tex]y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}[/tex]

a = 1 > 0  ← it means the parabla opens up, so, the vertex is minimum

The vertex form is  y = a(x - h)² + k, where (h, k) is the vertex

So, from  y = (x + 1)² - 3   the vertex is:  (-1, -3)


Related Questions

Points D, B, and E are collinear. Find the value of a so that points A, B, and C
are collinear.

Answers

Answer:

Since A, O and B are collinear,

i.e.,

A

O

B

=

180

or,

A

O

D

+

D

O

C

+

B

O

C

=

180

(

x

10

)

+

(

4

x

25

)

+

(

x

+

5

)

=

180

Or,

x

+

4

x

+

x

10

25

+

5

=

180

Or,

6

x

30

=

180

Or,

6

x

=

180

+

30

=

210

Or,

x

=

210

6

=

35

B

O

C

=

x

+

5

=

35

+

5

=

40

What is the radius of a circle with a diameter of 24 m?

Answers

12 m

Step-by-step explanation:

24/2 = 12

I hope this helps you, have a good day!

Answer:

answer: 12

Step-by-step explanation:

The radius is just half of the diameter since the diameter is 24 we just have to divide that by 2 to get the answer so 24 ÷ 2 = 12 so 12 is the radius Hope that helps!

write an explicit formula for an,the nth term of the sequence 72,12,2​

Answers

Answer:

[tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex] OR [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex]

Step-by-step explanation:

The first term is 72, and each term is equal to the previous term multiplied by 1/6. This yields the expression [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex], which is equivalent to [tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex].

Answer:

[tex]n _{th} = n _{1} {r}^{n - 1} \\ n _{th} = 72 \times 12 {}^{(n - 1)} \\ n _{th} = 72 \times ( {12}^{n} .12^(-1)) \\ n _{th} = 6 × {12}^{n} [/tex]

6) What is the Converse of the following
statement: If you do your homework,
then you can go to the movies,
A) If you do your homework, then you can go to the movies.
B) If you don't do your homework, then you can't go to the movies.
C) If you went to the movies, then you did your homework.
D) If you didn't go to the movies, then you didn't do your homework.
uh

Answers

Answer:

B) If you don't do you homework, then you can't go to the movies

Adrian drives 14 miles east on Broadmoor and 10 mies south on 5th street each day to get to work. Find the number miles Adrian would drive if he took the diagonal path along Skyline Drive instead? NO LINKS!!!

Answers

Answer:

just add all the numbers

Step-by-step explanation:

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follow you back...

Answer:

The answers is 17.2 miles

Step-by-step explanation:

The length of the rectangle is X units more than its
width. The width of the rectangle is 11 units and the
length of the wire that is used to make this rectangle
is a maximum of 57 units. Represent this situation
using an inequality.

Answers

Answer:   [tex]2x+44 \le 57\\\\[/tex]

Explanation:

W = width

W = 11

L = length

L = width+x

L = 11+x

P = perimeter of the rectangle

P = 2L+2W

P = 2*(11+x)+2*11

P = 22+2x+22

P = 2x+44

The perimeter is at max 57 units because it is the length of wire used. Think of it like fencing around a piece of land. Be sure not to mix up the length of the wire with the rectangle length; those are two different things.

Anyways, because the perimeter maxes out at 57, this means either P = 57 or P < 57.

This leads to:

[tex]P \le 57\\\\2x+44 \le 57\\\\[/tex]

what is (-5q-8) - (q+3)

Answers

The answer would be −6q−11

Answer:

-6q-11

Step-by-step explanation:

Gordon thought there would be 54
guests attending the event, but there
were actually 61. What was his percent
error?

40 points

Answers

I think the answer 11.475%. Not sure if you have to round the number.

can anyone solve this?

Answers

Answer:

the yo u thichi cutis lo u you

Answer:

its the same thing look at the coordinates

Step-by-step explanation:

Please help !!!!!!!!!!!

Answers

Answer:

84

Step-by-step explanation:

6×6 is 36, and there are two of these squares so the area of the squares together is 72. 3×4 is 12 and 72+12 is 84. Hope this helps :)

The answer is 84
No problem

GIVING BRAINLIST
GIVING BRAINLIST

PLS HELP

Answers

Answer:It could be 10, 2, 3

Step-by-step explanation:

basically as long as the lengthxwidthxheight=60, then it should be fine

Answer:

Their are multiple ways you could do this but you can use 10 as the length, 3 as the width, and 2 as the height

Step-by-step explanation:

The formula for the volume of a rectangular prism is v=l*w*h  so plugging in our values would give us 10*3*2 which is equal to 60.

PLEASE HELP!!!!!! Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. Choose the correct option based on the problem information.

Use a significance level of α = 0.01 to test the claim that μ > 2.85. The sample data consist of 9 scores for which = 3.1 and s = 0.6. Identify the correct null and alternative hypotheses.


A. H0: μ = 2.85. H1: μ > 2.85.


B. H0: μ ≥ 2.85. H1: μ < 2.85.


C. H0: μ > 2.85. H1: μ ≤ 2.85.


D. H0: μ ≠ 2.85. H1: μ = 2.85.

Answers

Answer:

C. H0: μ > 2.85. H1: μ ≤ 2.85.

Step-by-step explanation:

hope it helps

Kyle puts all of his craft beads into a bag. Exactly 1/3 of the beads are blue and 5/16 are red. What is the unit rate of blue beads to red beads in Kyle's bag?

Answers

The unit rate of blue beads to red beads in Kyle's bag is 1(1/15).

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Blue beads = 1/3

Red beads = 5/16

The unit rate of blue beads to red beads.

= 1/3 ÷ 5/16

= 1/3 x 16/5

= 16/15

= (16/15) / 1

= 1(1/15) / 1

Thus,

The unit rate is 1(1/15).

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4. Determine the type of triangle with the given set of side lengths. Show your work. A. a = 8, b = 15, c = 17 B. a = 6, b= 15, c = 18 C. a = 7, b = 10, c = 12​

Answers

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

Define Pythagoras Theorem.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

What is right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A. a = 8, b = 15, c = 17

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

17² = 8² + 15²

289 = 64 + 225

289 ≠ 289

Therefore, this is not a right triangle.

B. a = 6, b= 15, c = 18

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

18² = 6² + 15²

324 = 36 + 225

324 ≠ 324

Therefore, this is not a right triangle.

C. a = 7, b = 10, c = 12

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

12² = 7² + 10²

144 = 49 + 100

144 = 144

Therefore, this is a right triangle.

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

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Karen used a fork that had a mass of about 28 ?

A)grams

B)kilograms

Answers

Answer:

is A

Step-by-step explanation:

I hope and this helps you

K Rick's dad used a ladder to hang up their Christmas lights on the roof. When he leaned the ladder against the house, it created a triangle. If the height of the wall measures 12 feet, the ladder measures 15 feet, and Rick's dad put the base of the ladder 9 feet from the wall, what is the area of the triangle that is created? A 36 feet2 B) 54 feet 67.5 feet? D 90 feet​

Answers

Answer:

A) 36 pies

Step-by-step explanation:

Please help!!!! How do you write 0.0174 in scientific notation?

Answers

Answer:

1.74*10^-2

Step-by-step explanation:

use as decimal with ones place times 10 to the powe of minus something

sydney is selling is comic book selection on the internet the scatter plot

Answers

What is the question please?

heyy! i’ll give brainliest help asap pls

Answers

Answer:

I think the best answer is Marble

hope this helps

have a good day :)

Step-by-step explanation:

Answer: I would go with B:

Step-by-step explanation: if not then its gott to be A

In Duck Creek, a bicycle license plate consists of one letter followed by one digit; for example, $Q7$ or $J1$. How many different license plates are possible

Answers

On solving the provided question, we can say that by permutation 26 possible letters  x  10 possible digits  = 260 possible plates

what is permutation?

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of

26 possible letters  x  10 possible digits  =

26 x 10   =

260 possible plates

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11
Which improper fraction is equivalent to 5 ?
40

Answers

Answer:

211/40, B

Step-by-step explanation:

Make it an improper fraction:

5 x 40 = 200, 200 + 11 = 211

211/40, B

heelllppp please!!!!!!!

Answers

Answer:

7.9

Step-by-step explanation:

area of circle equals π× 5 = 15.7

area of half of the circle equals 15.7÷2

=7.85

now round it of and it's 7.9

SOMEONE HELP ME PLEASE
What is the least common multiple of 4, 9, and 12?

Answers

Answer:

36 I think

Step-by-step explanation:

jxjejjirirjxjd

Answer:

36

Step-by-step explanation:

4 x 9 = 36

9 x 4 = 36

12 x 3 = 36

(d) At a football match, there are 29 800 people, correct to the nearest 100. (i) At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people. Calculate the lower bound for the number of minutes it takes for all the people to leave.

Answers

The lower bound for the number of minutes that it takes for all people to leave is of:

70 minutes.

How to obtain the lower bound for the number of minutes that it takes for each person to leave?

At a football match, there are 29 800 people, correct to the nearest 100. The fewest number of people that can be there, hence, is of:

29,750.

(as 29749 would be rounded to 29,700).

At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people, hence the fastest rate is given as follows:

424 people per minute.

(as 425 people would be rounded to 450).

Hence the time it would take is obtained applying the proportion as follows:

29750/424 = 70 minutes.

(lower bound is fewest time, hence lowest number of people leaving at the fastest rate).

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Which of the following is the graph of f(x)=2(x−4)2−1?

Answers

Answer:

there is no graph but it's a positive graph and a few of the points would be (3,-5) (4,-1) (5,3) (6,7)

Step-by-step explanation:

Help me with this ASAP!!

Answers

Okay with what and I’d like to help but with what?

Write the given expression as the sine of an angle
sin(105°) cos(35°) + sin(35°) cos(105°)
Will give brainiest.

Answers

Answer:

sin140°

Step-by-step explanation:

Using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

Given

sin105°cos35° + sin35°cos105°

= sin105°cos35° + cos105°sin35° ← right side of expansion above

= sin(105 + 35)°

= sin140°

At a certain time of day a person 6 ft casts a 4ft shadow. How long is the shadow cast by a 21ft tree at the same time?

Answers

Answer:

Designate the unknown shadow length by s. Shadows cast at the same time and place are proportional to the height of the object casing the shadow. Therefore:

4/6 = s/21, or s = [4(21)]/6 = 14 feet.

What is the value of the expression 5x(3+6)-8

Answers

Answer:

45x - 8

Step-by-step explanation:

Answer:

Nodijsikmjkf

Step-by-step explanation:

45x-8

The tables show the prices for ordering team jerseys from two different companies. You can use the information to write ratios showing the relationship between the cost and the corresponding number of jerseys. 1/5=5 25/5=5 50/10=5 75/15=5. 5/1=5 20/5=4 40/10=4 69/15=4. These ratios are all equivalent. These ratios are not all equivalent. This relationship is proportional. This relationship is not proportional. Explain how you can tell whether a group of ratios represents a proportional relationship.

Answers

Even though this relationship is proportional, not all of these ratios are equal.

What is the solution to the 3 to 5 ratio?

Verify that the ratios provided are equal. The ratios of 3:5 and 15:25 are both equal. Because the first ratio 3: 5 can be derived by multiplying the ratio 15: 25 by 5 on both the numerator and denominator. The initial ratio of 3: 5 can be multiplied by 5 to get the ratio 15: 25, and vice versa.

What is an illustration of a 4:1 ratio?

This indicates that you would require an 8 fl oz can (a quarter of a quart) of Part B if you were ordering a quart of Part A. You will have 1.25 after combining Parts A and B.

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