Which statement describes the effect on the parabola f(x)=2x•x-5x+3 when changed to f (x)= 2x•2-5x+1

Answers

Answer 1

Answer:

The parabola is translated down 2 units.

Step-by-step explanation:

You have the parabola f(x) = 2x² – 5x + 3

To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:

f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1  Expresion A

The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.

If p> 0 and q> 0, the parabola shifts p units to the right and q units up. If p> 0 and q <0, the parabola shifts p units to the right and q units down. If p <0 and q> 0, the parabola shifts p units to the left and q units up. If p <0 and q <0, the parabola shifts p units to the left and q units down.

In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.

This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.

In conclusion, the parabola is translated down 2 units.

Which Statement Describes The Effect On The Parabola F(x)=2xx-5x+3 When Changed To F (x)= 2x2-5x+1

Related Questions

Three times the sum of three consecutive integers is 72. What are the integers? a. 4, 5, 6 c. 9, 10, 11 b. 7, 8, 9 d. 6, 7, 8

Answers

Answer:

B

Step-by-step explanation:

7+ 8+ 9= 24

24 x 3= 72

Answer:

The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Step-by-step explanation:

Let x, y, and z be the three consecutive integers

The sum of x, y, and z will be: x+y+z

The three times the sum of three consecutive integers is 72.

so the equation becomes:

3(x+y+z)=72

Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check

3(x+y+z)

⇒ 3(7+8+9)

⇒ 3(24)

⇒ 72

Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Suppose that the log-ons to a computer network follow a Poisson process with an average of three counts per minute.

Required:
a. What is the mean time between counts?
b. What is the standard deviation between counts (in minutes)?
c. If it is an average of 3 counts per minute, find the value of x such that P(X < x) = 0.95

Answers

Answer:

a. E(X) = 0.333 minutes

b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.  0.9986

Step-by-step explanation:

a.

To find the mean time between counts

Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.

i.e.

[tex]E(X) = \dfrac{1}{\lambda}[/tex]

[tex]E(X) = \dfrac{1}{3}[/tex]

E(X) = 0.333 minutes

b. Since X is attributed to an exponential distribution, The standard deviation between counts is:

[tex]\sigma_x = \dfrac{1}{3}[/tex]

[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.

Given that;

The average number of count per minute = 3

The value of X such that P(X < x) = 0.95 can be calculated as;

[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]

[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]

[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]

[tex]e^{3t} = 1-0.95[/tex]

-3x = ㏑ (0.05)

-3x = - 2.9957

x = -2.9957/ -3

x = 0.9986

The value of x = 0.9986

Answer:

a) 3

b)3

c) 8.9872

Step-by-step explanation:

a) According to the question, mean is 3.

b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.

c) P[x<X]=0.95

f(x)= λ*e^(-λ*x)

∫f(x)dx, 0 to x

mean = 1/λ =3. So, λ= 1/3.

∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x

-e^(-x/3)+1 = 0.95

-e^(-x/3)=-0.05

x/3=ln(0.05)

x=ln(0.05)*3= 8.9872

Need help please please it due today at 4:50pm really need help please

Answers

Answer:

70

Step-by-step explanation:

a) Kenyans went elections and they had to choose between three coalitions; Jubilee
Cord and Amani. They must choose one, if they have no preference, can choose
all the three or, if against one option, they choose for the two they prefer. A
sample of 200 voters revealed the following information
30 chose Jubilee and Amani but not Cord
130 chose Cord only
102 chose Amani only
30 chose Jubilee and Cord
234 chose for either Jubilee or Cord, or both Jubilee and Cord, but not Amani
256 chose for either Cord or Amani, or both Cord and Amani, but not Jubilee
How
many
students chose
i) All the three options
(2 marks
ii) Only one option
(2 marks
iii) Jubilee irrespective of Cord or Amani
(2 marks​

Answers

Answer:

iii is right..................

Determine if each pair of ratios or rates are equivalent.

16 points scored in 4 games.

48 points scored in 8 games.

Answers

Answer:

it is not the same

Step-by-step explanation:

16x4=64 & 48x8=394

(3x-15)(2x+7) what is x

Answers

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

2 = |3x|

−4/5x + 1/25 = 0

3x = 4 − x

Answer

Step-by-step explanation:

This has to be equal to something in order to solve it. I'm going to guess that it is equal to 0

(3x-15)(2x+7) = 0

That means that

3x - 15 = 0

3x = 15

x = 15/3

x = 5

or

2x + 7 = 0

2x = - 7

x = -7/2

x = - 3.5

The only other thing I can think of that this could equal is multiplying the two binomials together.

3x * 2x = 6x^2

3x*7 = 21x

-15*2x = - 30x

-15 * 7 = - 105

6x^2 - 7x - 105

But that does not solve for x.

1
The middle school girl's basketball team has
9 seventh-grade students and 5 sixth-grade
students. What is the ratio of sixth-grade
students to seventh-grade students on the
team?

Answers

Answer:

ratioed by ur name

Step-by-step explanation:

Help me pleaseeeeee pretty please please please

Answers

A. f(x^2+5x)=1/x(x+5)

B. Domain:
(−∞,−5)∪(−5,0)∪(0,∞),{x|x≠0,−5}

Range: (−∞,−4/25]∪(0,∞),{y∣y≤−4/25,y>0}
The explanation is hard like the question lol

what is le 2+2?
im -2 years old

Answers

Answer: The answer is 4

Step-by-step explanation: and FYI nobody is -2 years old

-2+2+2=2

Your actually 2 years old.

A 30 foot cable is being cut into pieces that are 7 1/2 feet long

Answers

Answer:

Cool

Step-by-step explanation:

Do you mean a 30 foot cable is being cut into pieces that are 7 1/2 feet long, how many pieces is it cut into?

Answer:

goodluck

Step-by-step explanation:

The amount of mustard dispensed from a standard dispenser is normally distributed with a mean of 0.9oz and a variance of 0.01oz. If a family of six buys ten hotdogs total and dispenses mustard onto each one using the standard dispenser, what is the probability that more than 3 of them will have more than one ounce of mustard?

Answers

Answer:

the probability that more than 3 of them will have more than one ounce of mustard is 0.05975

Step-by-step explanation:

Given te data in the question;

let x rep the quantity of mustard on a hotdog ( in oz)

so

X → N ( u = 0.9, α² = 0.01 )

now P( more than one ounces of mustard on a hotdog) will be

P( X>1 ) = P( Z > ((1-0.9)/(√0.01)) ) = P( Z > 1 ) = 1 - P( Z < 1 )

= 1 - 0.84134 = 0.15866

Also let Y rep the number of hotdogs that have more than one ounces of mustard, so

Y → Bin( n = 10, p = 0.15866 )

P( y = y ) = (¹⁰ _y) ( 0.15855)⁰ ( 1 - 0.15866 )^10-y, y = 0,1,2,3......, 10

so required probability = P(Y > 3) = 1 - P(Y ≤ 3)

= 1 - P(Y=0) - P(Y=1) - P(Y=2) - P(Y=3)

=1 -  (¹⁰ ₀) ( 0.15855)⁰ (1 - 0.15855)¹⁰⁻⁰ - (¹⁰ ₁) ( 0.15855)¹ (1 - 0.15855)¹⁰⁻¹ - (¹⁰ ₂) ( 0.15855)² (1 - 0.15855)¹⁰⁻² - (¹⁰ ₃) ( 0.15855)³ (1 - 0.15855)¹⁰⁻³

= 0.05975

Therefore the probability that more than 3 of them will have more than one ounce of mustard is 0.05975

[(15 x 3) + 3] = (12-6) = N​

Answers

Answer:

45+3 = 6=N

48_6= N

42= N

:. N= 42

Step-by-step explanation:

:. N= 42

Answer:

did you mean to put 2 equal signs in this?

Step-by-step explanation:

that would make this false because the first part equals 48 and the second equals 6 and since 48 doesn't equal 6 this is a false statement

help, i will do brainliest!!!
a)
Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b)
Four gallons of water weigh 33.4 lb
Find the constant of variation.

Answers

Answer:

a) 62.625 lb

b) 8.35

Step-by-step explanation:

a)

Use a proportion.

4 gal is to 33.4 lb as 7.5 gal is to x lb.

4/33.4 = 7.5/x

4x = 33.4 * 7.5

4x = 250.5

x = 62.625

Answer: 62.625 lb

b)

33.4/4 = 8.35

1) Cost of 7.5 gallons of water = 62.63 lb

2) The constant of variation = 8.35 lb

We have to given that,

1) Cost of 4 gallons = 33.4 lb

2) And, Cost of 4 gallon of water = 33.4 lb

Hence, We can simplify it as,

1) Since, Cost of 4 gallons = 33.4 lb

Hence, Cost of 7.5 gallons = 7.5 × 33.4 / 4 lb

                                         = 62.63 lb

2) Since, Cost of 4 gallon of water = 33.4 lb

Hence,  the constant of variation = 33.4 / 4

                                                   = 8.35

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?

Answers

Answer:

The probability will be "0.0111".

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu[/tex] = 79

Standard deviation,

[tex]\sigma[/tex] = 3.5

Now,

⇒ [tex]\sigma\bar x = \frac{\sigma}{\sqrt n}[/tex]

         [tex]= \frac{3.5}{\sqrt 16}[/tex]

         [tex]=0.875[/tex]

⇒ [tex]P(\bar x > 81) = 1 - P(\bar x < 81)[/tex]

So,

= [tex]1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ][/tex]

= [tex]1 - P(z < 2.2857)[/tex]

= [tex]0.0111[/tex]

Which of the following can you determine when you use deduction and start from a given set of rules and conditions

Answers

Answer:

What must be true

Step-by-step explanation:

which pair of lines are perpendicular lines?

Answers

Answer:

D.) y = -1/4x - 6 and y = 4x + 11

Step-by-step explanation:

If two lines are perpendicular, that means that their slopes are opposite reciprocals, or that the product is equal to -1. -1/4 times 4 is -1, so they are perpendicular.

Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?

Answers

Answer:

A) 120

Step-by-step explanation:

A factorial is represented with an !

Ex: 7! = 7*6*5*4*3*2*1

In this case, we would use 5! which equals 120.

120 should be your answer.

Find the area A of the polygon with the given vertices. A(−6, 1), B(4, 1), C(4,−8), D(−6,−8)

A= __ square units

Answers

u must use the formula

so, the answer is 10 units²

Select the correct answer.
You're given three angle measurements of 30°, 70%, and 80°. How many triangles can you construct using these measurements?
A.0
B 1

C. 2
D infinitely many

Answers

Answer:

The answer Is D Infinitely many.

Although these triangles will have the same shape and will have proportional sides due to the angle measures, at least one side length must be given to determine the other lengths, and so the size is not specified. Therefore the combination of lengths are infinite. This is because all numbers go on forever, just as you can keep counting without stopping.

Helpppppppppppppp I’ll mark u

Answers

-35 is the answer hope this helps

I don’t understand this question can you also help me figure it out step by step I would greatly appreciated it

Answers

Answer:

If a shape is a square, then it is a quadrilateral

Step-by-step explanation:

Quadrilateral means four sided shape, so automatically, because a square has 4 sides, you know it is a quadrilateral. But not all quadrilaterals are a square, you could have a rectangle which is four sides so you know that this statement is wrong "If a shape is a quadrilateral, then it is a square." Therefore, the answer is "If a shape is a square, then it is a quadrilateral

Quadirtalrt labs is akia a alaaloaabvszkIsvsnaisg s sksusvsbz os snack

6. a) Round 50.24 to the nearest whole number. Draw a number line to show your thinking.

Answers

Answer:

50

I've attached the drawing of my number line to show my thinking.  Download to turn it in if you need to.

Have a beautiful day, and stay safe.

Find the value of x that will make a and b parallel 5x+9 and 3x+11

Answers

Answer:

Step-by-step explanation:

5x + 9 = 3x + 11 ( Alternate angles )

5x - 3x = 11 - 9

2x = 2

x = 2/2

x = 1

Hope this helps

plz mark as brainliest!!!!!


The value of a school bus reduces from $512000 to $343000in 3 years. Find the
uniform rate of depreciation per annum (R).​

Answers

Answer:

The uniform rate of depreciation is $56,333 per year, or 11% per year.

Step-by-step explanation:

Rate of Depreciation

If some object has a certain value P and after some time t its value decreases to Q, the rate of depreciation is a measure of how much its value changed per unit time.

It can be calculated as:

[tex]\displaystyle R=\frac{P-Q}{t}[/tex]

It can also be expressed as a percentage, dividing the previous value by P.

The school bus reduces its value from $512,000 to $343,000 in 3 years, thus:

[tex]\displaystyle R=\frac{512,000-343,000}{3}[/tex]

[tex]\displaystyle R=\frac{169,000}{3}[/tex]

R = 56,333 $/year

Expressed as a percentage:

R = 56,333 / 512,000 = 0.11

R = 11%/year

The uniform rate of depreciation is $56,333 per year, or 11% per year.

Find the sample size required to estimate the percentage of college students who take a statistics course. Assume that we want 95% confidence that the proportion from the sample is within four percentage points of the true population percentage. Round the answer to the next larger whole number.

Answers

Answer:

The sample size is    [tex]n = 600 [/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 4% = 0.04

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Since the sample proportion (point estimate of the population proportion was not give we will assume it to be  )

       [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.96}{0.04} ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>  [tex]n = 600 [/tex]

 

What statistical tesst might you use in order to estabilish whether a distribution is normal and significant?a. Spearman’s testb. Kolmogorov–Smirnov testc. t-testd. None of the above

Answers

Answer:

b. Kolmogorov–Smirnov test

Step-by-step explanation:

The Kolmogorov–Smirnov test is also known as KS test. It is statistical non-parametric test used to test and compare cumulative distributions between two sets of data.

It is used to test whether the distribution scores are deviated from the comparable normal distribution or if the data are normally distributed.

to convert measurements in the metric system you can move the decimal point left or right why does this work?​

Answers

The metric system is based on power os 10’s- brainest pls xx

Answer:

C

Step-by-step explanation:

i took the assignment

5 men build a wall in 10 days how long will it take one man​

Answers

Answer:

50 days?

Step-by-step explanation:

Answer:

i think it is 2 because

10 divide by 5 = 2

1 x 2 = 2

2 days

8.7 x 10 to the 2nd power

Answers

Answer:

870

Step-by-step explanation:

10^2=100. 8.7*100 is 870.

Answer:

7,569

Step-by-step explanation:

8.7 × 10= 87

87 squared (to the 2nd power) is 87×87=7,569

Compare. Select <, >, or=.
3.568 ? 3.577

Answers

Answer:

3.568 < 3.577

Step-by-step explanation:

3.568 < 3.577

So 3.577 is greater than 3.568

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