Use -b/2a to find the axis of symmetry equation and the vertex g(x) = x^2-5x

Use -b/2a To Find The Axis Of Symmetry Equation And The Vertex G(x) = X^2-5x

Answers

Answer 1

Answer:

Axis of symmetry (-b/2a)= -2.5 or -5/2

Vertex- (2.5, -6.25) or (-5/2, -25/4)

Step-by-step explanation:

Find the AOS= -(-5)/2(1)= 2.5

Find the vertex= (2.5)^2 - 5(2.5)= -6.25


Related Questions

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

It would be closest to C (7,-9)

Ariel pays $10.80 when he buys 3 notebooks and 4 pencils.
Marie pays $14.50 when she buys 5 notebooks and 2 pencils.
Write down simultaneous equations and use them to find the cost of a notebook and the
cost of a pencil.
Show your workings.

Answers

.don’t have the work but ask me I have The work

Which polygon has fewer than five lines of symmetry?

Answers

Answer:

Regular Polygons

Step-by-step explanation:

c) What is the value
of the digit 7 in the number 4.7237 as a fraction

Answers

Answer:

7/10, 7/10,000

Step-by-step explanation:

There are two digits 7.

The one to the left is in the tenths place, so its value is 7/10.

The one tot eh right is in the ten-thousandths place, so its value is 7/10,000.

Answer:

THE ONE IN THE TENTHS PLACE WOULD BE 7/10

THE ONE N THE MILLOINTHS PLACE WOULD BE 7/1,000,000

Step-by-step explanation:

Good Luck!

1+1+1+1+1+(18+18463)+496464+94643448=​

Answers

95,158,398

THAT SHOULD BE DA ANSWER

Answer:

It guess it should be 95158398

After 1 year, $50,000 deposited in a savings account with simple interest had earned $4,000 in interest. What was the interest rate? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. ​

Answers

Answer:

the interest rate should be 8% let me know if u want me to explain it

ASAP ! GOD BLESS U!!!

Answers

Answer:

24 square metres

Step-by-step explanation:

Its basic math. You do 4 x 6 and you get the area.

In a factory 80 workers were female and 120 male what was the percentage of female workers?​

Answers

Answer: Percentage of female workers = 40%

Step-by-step explanation: No of Female workers = 80

                                             No of Male workers = 120

                                             Total No of workers = 120+80= 200

                                             percentage of female workers =80 of 200%= 40

a triangle has an area of 68 ft and a height of 16 ft what is the length of the base​

Answers

Answer:

8.5

Step-by-step explanation:

First we need to know the formula is BxH/2 for triangles. First we would do 68x2=136. Then we would do 136/16 which would give you 8.5! Hope this helps!

A triangle having area of 68 ft and a height of 16 ft, the length of the base for a triangle is, 8.5 ft

What is the area?

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

a triangle has an area of 68 ft

a height of 16 ft

the length of the base​ = ?

Area of triangle = 1/2×base×height

                    68 = 1/2×base×16

                base =  8.5 ft

Hence, the length of the base is 8.5 ft

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5.023 x 10^10
Write this out as a normal number.​

Answers

Answer:5.023E10

Step-by-step explanation:

The area of the cross-section of this cuboid is 7 cm2. The cuboid is 4 cm long.

Answers

7 cm squared * 4 cm = 28 cm cubed

Grace Charges $12 An Hour To Babysit And an Additional $20 for Homework help Write an Expression that can be used to find the total amount of money Grace makes for an hour
Plaese help

Answers

Answer:

12h+20=M

Where H=hours babysitting and M= money made or total amount

in this case since it's only an hour the equation would be 12(1)+20=M

12*1=12 and 12+20=32 so in the one hour with homework help would give you 32=M just for one hour.

Note that the 20 never changes considering it's only the charge for helping with homework and not over an hour.

But since this only asked for an hour and never specified if it was with the homework help here's this

12h=M

Step-by-step explanation:

Hope this helped.

Question 2 please fas

Answers

Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

[tex] {x}^{3} + (a + b) {x}^{2} - 4x + 2 \\ = {x}^{3} + 5 {x}^{2} - (2a - b)x + 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2} = 5 {x}^{2} \\ \implies \: a + b = 5.....(1) \\ \\ - (2a - b)x = - 4x \\ 2a - b = 4....(2) \\ \\ adding \: equations \: (1) \: and \: (2) \\ \\ 3a = 9 \\ \implies \: a = \frac{9}{3} \\ \huge \red{ \boxed{\implies \: a = 3}} \\ \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\ \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies b = 2}}[/tex]

can someone please help me

Answers

-8 3/4 + -11 1/3

I would do this problem by changing each mixed number into an improper fraction

-8 3/4 = -35/4
-11 1/3 = -34/3

Then I would find the common denominator

-35/4(3/3) = -105/12
-34/3(4/4) = -136/12

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has
only $42 to spend. Which inequality represents this scenario if X represents the
number of games Cameron can play?

Answers

Hmmmmmmmmmmmmmm ummmmmmmmm hmmmmmmmmmmm..

Answer:

4.5 Games

Step-by-step explanation:

42 Minus 6 (shoes)= 36

36 divided by 8 (each game) would equals 4.5

If the skyscraper is 952 feet high, approximately how long will it take for the baseball to hit the ground? (Estimate your answer to one decimal place.)​

Answers

The function of the baseball is a quadratic function

The baseball hits the ground after 7.7 seconds

How to determine when the baseball hits the ground?

The function is given as:

h(t) = -16t^2 + v0t + h0

Where:

v0 = 0 --- the initial velocity

h0 = 952 -- the height of the skyscraper

So, we have:

h(t) = -16t^2 + 952

When the baseball hits on the ground, h(t) = 0.

So, we have:

-16t^2 + 952 = 0

Collect like terms

-16t^2 =- 952

Divide both sides by -16

t^2 =59.5

Take the square root of both sides

t =7.7

Hence, the baseball hits the ground after 7.7 seconds

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Help ME PLEASE EXPLAIN HURRY!!!!!
Find the value of x.

Answers

Answer: 38

Step-by-step explanation: this is a 90 degree angle and 90-52= 38

Solve for x.
What is the solution for x in the equation?

please help.

A.

B.

C.

D.

Answers

X=4 The answer is A

Multiply the sides by 3 to get no fractions

Answer:

B

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3x - 2/3x = - 4

x= - 4

Elsa 65 miles per hour for 162. 5 miles how many hours

Answers

Answer:

2:29:32

Step-by-step explanation:

time = distance/speed= 162mi/65

=162/65 =2.49231

=2 hours 29 minutes 32 seconds

=02:29:32 (hh:mm:ss)

Hope this helps!

The balanced equation below shows the products that are formed when pentane (c5h12) is combusted. c5h12 8o2 right arrow. 5co2 6h2o what is the mole ratio of oxygen to pentane? 1:6 6:8 8:1 5:8

Answers

The mole ratio of the oxygen to pentane will be 8:1

What is the mole ratio?

A mole ratio is ​a ratio between the amounts in moles of any two compounds involved in a chemical reaction

A chemical equation is said to be a balanced chemical equation if it has an equal number of all the constituent atoms on both sides of the reaction arrow.

The balanced chemical reaction for the combustion of pentane is as follows:

[tex]\rm C_5H_{12}+8O_2--- > 5CO_2+6H_2O[/tex]

From the above-balanced chemical equation, it is clear that 1 mol of [tex]C_5H_{12}[/tex] reacts with 8 moles  [tex]O_2[/tex] to form 5 moles of [tex]CO_2[/tex]

Thus the mole ratio of the oxygen to pentane will be 8:1

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Answer:

8:1

Step-by-step explanation:

edge

What is the slope in this equation

Answers

2, rise over run is 2/1 which means the slope is 2

Please help me solve this ! Which figure can be formed from the net?

Answers

Answer:

A

Step-by-step explanation:

It is th eonly one with a asquare base and it maches the net.

Have an amazing day!

PLEASE RATE!

Option A is correct!

How??

First of all, it's base is square just like the net. The net in option D also has a square base.Now, Confusion is there that which one is correct?To understand that, look at the dimensions. The dimensions of Figure in Option A matches the net completely.. Hence, it is the correct option!!~

100 POINTS!!!

The y-intercept of a function can be found by:

A. Making x = 0

B. Making y + 0

C. Making x = 2

D. Making y = 2

EXPLAIN

Answers

Answer:

making x=0

Step-by-step explanation:

it gives you the points where the point intersects the y-axis

Answer:

A: Making x = 0

Step-by-step explanation:

The y-intercept of a function is where x is zero (i.e. [tex]f(0)[/tex])

Select the correct answer from each drop-down menu.

Answers

Answer:

x = 95 , y = 147 , z = 128

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x is an exterior angle of the triangle , then

x = 45 + 50 = 95

vertex of triangle ( with x in it ) = 180 - 95 - 52 = 180 - 147 = 33

the vertex and y are adjacent angles on a straight line and sum to 180 , then

y = 180 - 33 = 147

z is an exterior angle of the triangle , then

z = 95 + 33 = 128

Troy and Ronnie wrote down how much time they spent at play rehearsal each week for 6 weeks.

Troy spent 6, 4, 8, 5, 10, and 9 hours at play rehearsal.

Ronnie spent 4, 6, 3, 7, 7, and 3 hours at play rehearsal.


How does the range of hours Troy spent compare with the range of hours Ronnie spent at play rehearsal? Answer the questions to find out

Answers

Answer: Im trying to find out the same thing oh no!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. What is the range of hours Troy spent at play rehearsal? Explain how to find the range of a data set. (3 points)

To find the range, subtract the smallest value from the largestvalue. For Troy’s  time, the range = 10 - 4 = 6 hours.

2. What is the range of hours Ronnie spent at play rehearsal? (3 points)

Ronnie’s range = 7 - 3 = 4 hours 

3. Who had a greater range of hours spent at rehearsal? (4 points)Troy had a bigger range.

I hope this helps :)

A dinner plate is in the shape of an isosceles right triangle, the leg is 13 inches. What is the perimeter of the plate, round your answer to the nearest tenth?

Answers

Answer: 18.4 inches

Step-by-step explanation:

What type of number -75 A)rational number B)irrational C) integer D) whole number E)natural number. Reply quickly

Answers

Answer:

Rational number

Step-by-step explanation:

Hope this helps

Answer:

Your answer is: A) Rational

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

The 4th and the last terms of an A.P. are 11 and 89 respectively. If there are 30 terms in the A.P., find the A.P. and its 23rd term.​

Answers

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Number \: of \:terms \: in \: A.P,n = 30[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Fourth \: term ,a_4 = 11 [/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf last\:term, a_{30} = 89 [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf The \: A.P. [/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf 23rd\: term, a_{23} [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

The nth term of A.P is determined by the formula-

[tex]\green{ \underline { \boxed{ \sf{a_n = a+(n-1)d}}}}[/tex]

where

[tex]\sf a = first \:term[/tex][tex]\sf a_n = nth \: term[/tex][tex]\sf n = number \:of \:terms [/tex][tex]\sf d = common \: difference [/tex]

Since ,

[tex]\sf a_4 = 11 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+(4-1) d= 11 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+3d= 11\_\_\_(1) [/tex]

[tex]\sf a_{30}= 89 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+(30-1)d=89[/tex]

[tex]\longrightarrow[/tex][tex]\sf a+29d= 89\_\_\_(2)[/tex]

Subtracting equation (1) from equation(2)

[tex]\begin{gathered}\\\implies\quad \sf a+29d-(a+3d) = 89-11 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a+29d-a-3d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a-a+29d-3d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 26d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf d = \frac{78}{26} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf d = 3 \\\end{gathered} [/tex]

Putting the value of d in equation (1) -

[tex]\begin{gathered}\\\implies\quad \sf a+3(3) = 11 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a = 11-9 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a = 2 \\\end{gathered} [/tex]

First term of A.P, a = 2

Second term of A.P.,[tex]\sf a_2= 2+(2-1)\times 3[/tex]

[tex]\quad\quad\quad\sf =2+3[/tex]

[tex]\quad\quad\quad\sf =5 [/tex]

Third term of A.P.,[tex]\sf a_3= 2+(3-1)\times 3[/tex]

[tex]\quad\quad\quad\sf =2+6[/tex]

[tex]\quad\quad\quad\sf =8 [/tex]

[tex]\longrightarrow[/tex]Thus , The A.P is 2,5,8,. . . . . .

Now,

[tex]\begin{gathered}\\\implies\quad \sf a_n = a+(n-1)d \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23 }= 2+(23-1)\times 3 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+22 \times 3 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+66 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 68 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Thus , 23rd term is 68.

If f(x) = 7 4x and g (x) = startfraction 1 over 2 x endfraction, what is the value of (startfraction f over g endfraction) (5)? eleven-halves startfraction 27 over 10 endfraction 160 270

Answers

The value of the function [tex]\frac{f}{g} (5)[/tex] is 270.

Given functions are:

[tex]f(x) = 7+4x\\\\g(x) = \frac{1}{2x}[/tex]

What is the  [tex]\frac{f}{g} (x)[/tex] ?

[tex]\frac{f}{g} (x)[/tex] is the ratio of functions f(x) and g(x) i.e. [tex]\frac{f(x)}{g(x)}[/tex].

So, [tex]\frac{f}{g} (x) =\frac{7+4x}{\frac{1}{2x} }[/tex]

[tex]\frac{f}{g} (x) =2x(7+4x)[/tex]

[tex]\frac{f}{g} (5) =2*5(7+4*5)[/tex]

[tex]\frac{f}{g} (5) =270[/tex]

Therefore, the value of the function [tex]\frac{f}{g} (5)[/tex] is 270.

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Answer:

270

Step-by-step explanation:

edge2022

Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hearts of young children. More information on the details of their study can be found here: https://datadryad.org/stash/dataset/doi:10.5061/dryad.cg849
((The data set can be downloaded. After going to the website, the download is to the right)).

One variable the researchers calculated in these children was the E/A ratio. The E/A ratio is a measurement that reflects the health of the heart. The (E) velocity is greater than the late (A) velocity in a healthy heart. Particularly low or particularly high elevated E/A ratios indicate signs of heart issues.


The mean E/A ratio of the 110 patients in the study was 1.35. The standard deviation was 0.33.


1. One patient had an E/A ratio of 0.73. What is the z-score for this patient?


2. Assuming the population of E/A ratio scores is approximately normally distributed, what's the probability that a randomly selected person has a smaller E/A ratio than the patient in question 1?


3. Another patient had an E/A ratio of 1.96. What's the z-score for this patient? What's the probability that a randomly selected patient has a higher E/A ratio?


4. Which patient has a more extraordinary E/A ratio? Why? Be sure to refer to the z-scores to support your answer.

Answers

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of [tex]\mu = 1.35[/tex].The standard deviation is of [tex]\sigma = 0.33[/tex].

Item 1:

Considering his ratio, we have that X = 0.73, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.73 - 1.35}{0.33}[/tex]

[tex]Z = -1.88[/tex]

His z-score was of Z = -1.88.

Item 2:

The probability is the p-value of Z = -1.88, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.96 - 1.35}{0.33}[/tex]

[tex]Z = 1.85[/tex]

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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