what is the axis of symetry given f(x)=x^2+4x-19

Answers

Answer 1

Answer:

x = -2

Step-by-step explanation:

The formula for the axis of symmetry is;

x = -b/2a

In this case;

b = 4 , a = 1

Therefore;

x = -4/2(1)

  = -2

Thus; the axis of symmetry is x = -2

Answer 2

Answer:

x = -2 is the axis of symmetry.

Step-by-step explanation:

We have given the function:

f(x)=x²+4x-19

We have to find the axis of symmetry.

We know that the formula for axis of symmetry is:

x = -b /2a

In this equation, b = 4 , a = 1

Putting these values we get,

x = -4/2(1)

x = -4/2

x = -2

x = -2 is the axis of symmetry of this function.


Related Questions

Which operation has an inverse relationship with multiplication? A. Addition B. Division C. Squaring D. Subtraction

Answers

Answer:

B. Division

Step-by-step explanation:

inverse - something that is the opposite or reverse of something else.

Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on. Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry.

Final answer:

Division is the operation that has an inverse relationship with multiplication, as they 'undo' each other through the use of reciprocals.

Explanation:

The operation that has an inverse relationship with multiplication is division. In mathematics, inverse operations are pairs of operations that 'undo' each other. Just as subtraction is the inverse operation of addition, division is the inverse when it comes to multiplication. When you multiply a number by another number, you can reverse this action by dividing the product by the same number.

To better grasp this concept, let's consider the relationship between multiplication and division with fractions. If we divide by 8, it is equivalent to multiplying by 1/8. Conversely, multiplying by 1/8 is the same as dividing by 8. Therefore, these two operations, multiplication and division, are interconnected through the use of reciprocals.

Defining congruent triangles

Answers

All angles are the same and all side lengths are equal/congruent

Final answer:

Congruent triangles are triangles that have the same size and shape, with corresponding sides and angles that are equal. They can be proven congruent using criteria such as SSS, SAS, and ASA.

Explanation:

**Congruent triangles** are triangles that have the same size and shape. In other words, all corresponding sides and angles of congruent triangles are equal. There are several ways to prove that triangles are congruent, such as the Side-Side-Side (SSS) Criteria, Side-Angle-Side (SAS) Criteria, Angle-Side-Angle (ASA) Criteria, and more. For example, if two triangles have the same length for each corresponding side, they are congruent.

What is the area of the figure

Answers

Answer:

91 [tex]in^{2}[/tex]

Step-by-step explanation:

the formula for the area of a triangle is bh1/2 =A

b =12 h =7

12 x 7 = 84

84 divided by half (or multiplied by 0.5) = 42

the triangle is 42

and the square is...

7 x 7 =49

49 +42 = 91

91 [tex]in^{2}[/tex]

hope this helped! Please mark as brainlest! Thanks!

Solve graphically the system of linear equations: 3x−2y=6 3x+10y=−12


Please help me

Answers

Answer:

The solution of the system of equations is the point [tex](1,-1.5)[/tex]

Step-by-step explanation:

we have

[tex]3x-2y=6[/tex] -----> equation A

[tex]3x+10y=-12[/tex] -----> equation B

we know that

The solution of the system of equations is equal to the intersection point both graphs

using a graphing tool

The intersection point is [tex](1,-1.5)[/tex]

therefore

The solution of the system of equations is the point [tex](1,-1.5)[/tex]

Sunil receives a 20% discount on a concert ticket that costs $75. If Sunil pays $3.30 in sales tax on the discounted ticket, what is the sales tax rate?

Answers

Answer:

5.5%

Step-by-step explanation:

100%-20%=80%

80%×$75=$60

3.30/60×100%=5.5%

the sales tax rate is 5.5%

Final answer:

The sales tax rate on Sunil's discounted concert ticket is found by calculating the discounted ticket price and then dividing the sales tax paid by this discounted price, resulting in a sales tax rate of 5.5%.

Explanation:

To find the sales tax rate, we need to calculate the discounted price of the concert ticket and then use the amount of sales tax paid to determine the rate. Initially, Sunil receives a 20% discount on a $75 ticket.

The calculation for the discount amount is $75 × 0.20 = $15. Thus, Sunil's discounted ticket price is $75 - $15 = $60.

Now, knowing Sunil paid $3.30 in sales tax for the discounted ticket, we can find the sales tax rate by dividing the sales tax amount by the discounted ticket price:

$3.30 ÷ $60 = 0.055, or 5.5% when converted to a percentage. Therefore, the sales tax rate is 5.5%.

Choose the correct correspondence
D <->
Options
1.R
2.K
3.O

Answers

Answer:

K

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Angle D is congruent and corresponds to Angle K for these congruent triangles.

Answer:

k

Step-by-step explanation:

d is in the same place as k just its flipped if ya flip it it will be in the exact places just other sides

Find y. Round to the nearest tenth

Answers

Answer:

17.24

Step-by-step explanation:

The value of y is 243 ft.

We can use the sine function to find the missing side.

sin(28°) = opposite / hypotenuse

sin(28°) = y / 500

y = 500 * sin(28°)

y = 500 * 0.485

y = 242.5 ft

Round to the nearest tenth:

y = 243 ft

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What do I do to answer this question

Answers

Answer:

16

Step-by-step explanation:

(-4) * (-4) = 16

BECAUSE... a negative times a negative equals positive

Answer:

16

Step-by-step explanation:

-4 X -4 = 16

B squared means a number times itself.

Find the area of a square with side of 7 feet. 56 ft.2 49 ft.2 14 ft.2

Answers

Answer:

49 sq ft

Step-by-step explanation:

multiply 7 by 7

Answer:

49 ft.

Step-by-step explanation:

All sides of a square are equal so, that means all sides are 7 ft long

You have to multiply 7 x 7 because all sides are 7 ft long

7 x 7 = 49

Jaylyn rode her bicycle in a bike a thon she rode 33.48 miles in 2.7 hours If she rode at the same speed what was her speed in miles per hour

Answers

Answer 12.4

Step-by-step explanation:

33.48/2.7=12.4

Answer: 12.4

Step-by-step explanation: 33.48/2.7=12.4

I Hope This Helps!!!

Plllllzzzzzzzzzzzzz!!!!!!!!

Answers

Answer:

Alternative C is correct;

Yes, there is evidence at the 5% significance level

Step-by-step explanation:

To determine whether a linear relationship does exist between shoe size and height, we shall simply be testing the null hypothesis;

β=0

against the alternative;

β≠0

From the output, the p-value of the coefficient of height is given as 0.042 or equivalently 4.2%

Since the p-value, 4.2% is less than 5% level of significance we reject the null hypothesis that claims no linear relationship exists between the shoe size and height.

Find the area of the irregular figure. I've been stuck on this for awhile. Please help and explain how you did it.

Answers

Answer: 368 ft^2

Step-by-step explanation:

Pretend it is a square and multiply both sides (23*20=460). The triangle that is cut out has an area of 92 (23*8/2). We know the height of the triangle is 8 because 20-12. We subtract 460-92 and get our answer. :)

to the risk of sounding redundant, as the previous posting is absolutely correct.

Check the picture below.

we know the circum-inscribing figure is a square, namely a 23x20, so it has an area of 23*20 = 460 ft².

the distance from the bottom up, is 20, however to the tip of the triangle is 12, so the diffference is 20 - 12 = 8, meaning the triangle, in yellow, has a height/altitude of 8 ft, and we know its base is 23 ft.

so if we simply take the whole area of the square, and then subtract the area of the triangle, we're in effect making a whole in the squarish area, and what's leftover is the shaded area.

[tex]\bf \stackrel{\textit{square's area}}{(23\cdot 20)}~~~~-~~~~\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(23)(8)}\implies 460~~-~~92\implies 368~ft^2[/tex]

Which numbers are solutions to the inequality?

Answers

The answers are 0, 2, and 4. The other ones turn out to be greater than 6

Answer:0,2,4

Step-by-step explanation:

EGDE 2023

Xa/xb = xa-b. This is the______of Powers of property. The word is 8 letters long​

Answers

Answer:

This is the Quotient of Powers of property. HOPE THIS HELPS!!!

Step-by-step explanation:

Answer:

Power is the Correct Answer

Step-by-step explanation:

Hoped I helped anybody!!!

What fraction is equivalent to 0.4?

Answers

2/5

How? The decimal .4 is out of ten so it’s 4/10 but then you simplify it and get 2/5

Hope this helps and have a blessed day!

Using the place value chart we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4 out of 10 or [tex]\frac{4}{10}[/tex]. Notice however that [tex]\frac{4}{10}[/tex] is not in lowest terms so we need to divide both the numerator and denominator by the greatest common factor of 4 and 10 which is 5.

Therefore, 0.4 can be written as the fraction 2/5, which is in lowest terms.

Nick types 275 words in 2.5 minutes. At this rate, how many hours would it take for him to type 9900 words?

Answers

3/5 of an hour (0.6 hours)



First, find how many words Nick types in an hour by multiplying 275 * 60.

Nick types 16,500 words per hour.

Now just divide 9,900 by 16,500.

It takes Nick 3/5 of an hour to type 9,900 words. (0.6 hours)



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Write the product in the simplest form 3x1/6

Answers

Answer:

1/2

Step-by-step explanation:

3 * 1/6 = 3/6

Which can simplify to 1/2 if you divide the top and bottom by 2.

The product 3x1/6 simplifies to 1/2.

To simplify the product 3x1/6, we need to perform the multiplication and express the result in its simplest form.

First, let's calculate the product:

3 x 1/6 = 3/1 x 1/6 = 3/6

Now, we can simplify the fraction 3/6 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3 in this case:

3/6 ÷ 3/3

The divided by six by three by three

= (3 ÷ 3) / (6 ÷ 3)

=3/3×3/6

= 1/2

Therefore, the product 3x1/6 simplifies to 1/2.

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Need to find the sum of 50

Answers

Answer:

4600

Step-by-step explanation:

This is an arithmetic sequence with common difference d between consecutive terms.

d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][ 2a + (n - 1)d ]

where a is the first term

here a = - 6, d= 4 and n = 50, hence

[tex]S_{50}[/tex] = [tex]\frac{50}{2}[/tex] [ (2 × - 6) + (49 × 4) ]

                           = 25 ( - 12 + 196 )

                           = 25 × 184

                           = 4600

Which answer is the correct one?

a survey asked 60 students if they play an instrument and if they are in band

1.- 35 students play and instrument
2.- 30 students are in band
3.- 30 students are not in band.

which table shows these dates correctly entered in a two way frequency table?

Answers

It would be A. First look at how many play an instrument. A is the only one with 35, which is seen in the total column. To confirm, look at the who is in band or not in band and you'll see in the total row, 30 were in band and 30 were not. This matches exactly with the prompt.

A is gonna be right for apex

A given by no real distribution has a mean of 153.1 and a standard deviation of 18.2 would a value of 187 be considered usual or unusual? why?

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

(18.2 x 2) + 153.1 = 189.5 (this is considered the highest value)

153.1 - (18.2 x 2) = 116.7 (this is considered the lowest value

An unusual value would be more than 2 standard deviations away from the mean in a positive or negative direction.

In this case, the value is less than the highest value.

The value of 187 would be considered usual as it is less than 2 standard deviations away from the mean.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Final answer:

The value of 187 from a distribution with a mean of 153.1 and standard deviation of 18.2 can be considered 'usual'. This conclusion is reached by calculating the Z-score and determining that it falls within the usual range of +/-2 standard deviations from the mean.

Explanation:

The question provided is one that tackles the subject of statistics, more specifically, the concepts of mean, standard deviation, and the identification of data as being usual or unusual. The distribution in question has a mean of 153.1 and a standard deviation of 18.2. With a value of 187, we need to determine whether it would be considered usual or unusual.

To answer this, we would utilize the concept of Z-score, which measures how many standard deviations an element is from the mean. A Z-score of +/- 2 or more is generally considered unusual. Let's compute:

Z = (X - μ) / σ

Where:

X is the value, 187 in this case μ is the mean, which is 153.1 σ is the standard deviation, which is 18.2

Substitute these into the Z-score formula:

Z = (187 - 153.1) / 18.2 = 1.86

As the Z score is within the range of +/-2, the value 187 is thus interpreted as usual.

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The cone shown has a diameter of 16 m and a slant height of 10 m which choice is the closest to the lateral surface area

Answers

Answer: 251 square meters.

Step-by-step explanation:

You need to use the formula for calculate the lateral surface area of a cone:

[tex]LA=3.14rl[/tex]

Being "r" the radius of the cone and "l" the slant height.

Calculate the radius:

[tex]r=\frac{diameter}{2}\\\\r=\frac{16m}{2}\\\\r=8m[/tex]

Now that you know the radius and the slant height of the cone, you need to substitute them into the formula for calculate the lateral surface area of the cone:

[tex]LA=(3.14)(8m)(10m)\\LA=251.2m^2[/tex]

Therefore, the closest choice to the lateral surface area of the cone is: 251 square meters.

Three different members of the set {4,5,6,7,8,9} are chosen at random and added. How many different sums are possible?

Answers

There are 10 sums that are possible

Add the following lengths: 12'11" + 11'3" ‾‾‾‾‾‾ ' "

Answers

Answer:

12'11" + 11'3" = 24'2".

Hope this helps!

Davinia.

To add 12'11" and 11'3", convert excess inches to feet and add them to the total feet to get a result of 24 feet 2 inches.

To add the lengths 12'11" and 11'3", we first add the inches (11 inches + 3 inches = 14 inches). Since there are 12 inches in a foot, we convert the 14 inches into 1 foot and 2 inches. We then add the feet (12 feet + 11 feet + 1 foot from the inch conversion = 24 feet). Therefore, the total length is 24 feet 2 inches.

Which diagram represents a fraction equivalent to 75%?

Answers

Answer:

Honestly i think i know which diagrams your talking about but if it there is an option that has 20 squares and only 15 are shaded then thats the one u choose I'm thinking that option is c

I hope this helps please mark me brainliest

Answer:

C. The third diagram

Step-by-step explanation:

I did the quiz on edge, hope u have a good day :)

|

|

V

How many thirds are in 1/3?

Answers

Answer: One

Step-by-step explanation:

If you say the fraction out loud, it it pronounced one third.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷There are 3 thirds on one third, because if something is one THRID, that means it is one out of three parts. One third of one third is 1/9.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Which decimals in the list are repeating decimals?
1/3
3/5
4/15
5/6
4/1,000
1 /34

Answers

Answer:

1/3, 4/15, 5/6, and 1/34.

Step-by-step explanation:

If you divide it and it keeps going when you divide it, it is a repeating decimal.

1/3=.333 repeating.

1/3, 4/15, 5/6, and 1/34 are the answers.

Can someone help me with this problem? Please.

Answers

Answer:

(7x-1)-3(7x-1)

Step-by-step explanation:

First write out the problem

7x^2-22x+3

Next, Factor the expressions

7x^2 - x - 21x + 3

Now factor the whole thing

x(7x-1)-3(7x-1)

Can you please help me with this

Answers

Answer: D.

Step-by-step explanation: it’s D because when you do the volume of mode A, you get 48 units. When you do the volume of model B you get 40 units. Use the formula V=length x width x height!

How many solutions does the system of linear equations have ? Y=3/4x+12

Answers

Infinitely many/all real numbers

Parallel lines are preserved in which of the following types of transformations?

Answers

Parallel lines are preserved in:

Reflections, Translations & Rotations

Final answer:

Parallel lines maintain their geometric property of not intersecting through all three transformations: rotations, reflections, and translations. Therefore, the correct answer is Option B. l, II, and III.

Explanation:

In the field of mathematics, particularly in geometry, transformations involve the manipulation of shapes while preserving their essential properties. In the case of parallel lines, their key property is that they do not intersect, regardless of their length.

Out of the transformations listed - rotations, reflections, and translations - parallel lines are preserved in all three. Therefore, your answer is Option B. l, II, and III.

Specifically, a rotation spins the figure around a fixed point, a reflection flips the figure over a line, and a translation slides the figure along a straight line, parallel to the original lines. In all these transformations, the lines remain parallel to each other.

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the complete question is written below:

Parallel lines are preserved in which of the following types of transformations?

l. rotations

II. reflections

Ill. translations

A. I and II only

B. l, II and Ill

C. I only

D. I and III only

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