The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)

Answers

Answer 1

Answer:

  2)  (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

  y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

The Quadratic Function: [tex]y=-x^2-8x+1[/tex] Has An Axis Of Symmetry Of [tex]x=-4[/tex]. Which Of The

Related Questions

Two balls are placed in a box according to the following process: 1. A fair coin is tossed. A white ball is placed in the box if a head occurs, otherwise a red ball is placed in the box. 2. The fair coin is tossed again. A red ball is placed in the box if a tail occurs, otherwise a white ball is placed in the box. Balls are drawn from the box three times in succession (always with replacing the drawn ball back in the box). On all three occasions a red ball is drawn from the box. There are two pieces of information available: the process by which balls are placed in the box and the 3 observations of a ball drawn from the box. Making use of all relevant available information, what is the probability that both balls in the box are red

Answers

Answer:

The probability that both balls in the box are red given that all three occasions a red ball is drawn from the box is [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Let RRR be the event in which red Balls are drawn from the box three times in succession

Let rr be the event that two red balls are placed in a box

Let rw be the event the first red ball was placed and then white ball was placed

Let wr be the event the first white ball was placed and then red ball was placed

Let ww be the event that two white balls are placed in a box

Now we know that :

[tex]P(rr)=P(rw)=P(wr)=P(ww)=\frac{1}{4}[/tex]

Probability of getting red Balls three times in succession given that both are placed red balls in box:

[tex]P(RRR|rr)=1[/tex]

Probability of getting red Balls three times in succession given that one ball is red and another is white in a box

[tex]P(RRR|wr)=P(RRR|rw)=\frac{1}{2^3}=\frac{1}{8}[/tex]

Probability of getting red Balls three times in succession given that both are placed white balls in box:

[tex]P(RRR|ww)=0[/tex]

Now we are supposed to find the probability that both balls in the box are red given that  all three occasions a red ball is drawn from the box i.e. P(rr|RRR)

So, we will use bayes theorem

[tex]P(rr|RRR)=\frac{P(RRR|rr) P(rr)}{P(RRR|rr) P(rr)+P(RRR|rw) P(rw)+P(RRR|wr) P(wr)+P(RRR|ww) P(ww)}\\P(rr|RRR)=\frac{1 \times \frac{1}{4}}{1 \times \frac{1}{4}+\frac{1}{8} \times \frac{1}{4}+\frac{1}{8} \times \frac{1}{4}+0 \times \frac{1}{4}}\\\\P(rr|RRR)=\frac{\frac{1}{4}}{\frac{5}{16}}\\\\P(rr|RRR)=\frac{4}{5}[/tex]

Hence the probability that both balls in the box are red given that all three occasions a red ball is drawn from the box is [tex]\frac{4}{5}[/tex]

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 29 feet more
than the length of the shortest side. Find the dimensions if the perimeter is 141 feet.
What is the length of the shortest side?
The length of the shortest side is
(1)
What is the length of the second side?
The length of the second side is
(2)
What is the length of the third side?
The length of the third side is
(3)

Answers

Answer:

Step-by-step explanation:

8y8yy89y99u98u89y7t8y7i6u7i9jo

The mass of a carbon-12 atom is 1.99\times 10^{-23}1.99×10

−23

grams. The mass of a neutron is 1.68\times 10^{-24}1.68×10

−24

grams. How many times greater is the mass of a carbon-12 atom than the mass of a neutron? Write your answer in standard notation, rounding to the nearest tenth.

Answers

Answer:

If the mass of one electron is 9.11 x 10-28 g, and you are looking for the mass of a mole of electrons, you need to understand Avogadro's number.  One mole is 6.02 x 1023 particles.  So you will have to multiply (6.02 x 1023) x (9.11 x 10-28 g) to get your answer of  5.48 x 10-4 grams (answer rounded to significant figures)

Step-by-step explanation:

1.2 x 10¹ times  greater is the mass of a carbon-12 atom than the mass of a neutron

What is Division?

A division is a process of splitting a specific amount into equal parts.

To find the ratio of the mass of a carbon-12 atom to the mass of a neutron, we can divide the mass of carbon-12 by the mass of a neutron:

(1.99×10⁻²³ grams) / (1.68×10⁻²⁴ grams)

= 11.8 grams

This means the mass of a carbon-12 atom is 11.8 times greater than the mass of a neutron. Written in standard notation and rounded to the nearest tenth, the answer is 1.2 x 10¹

Hence, 1.2 x 10¹ times  greater is the mass of a carbon-12 atom than the mass of a neutron

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ2

I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit number. What could my two number be?

Answers

758

(if you don't have to use all the blocks)

757

750

708

754 etc

In which number is the digit 5 one hundred times larger than it is in the number 253

Answers

Answer:

The 5 would be in the Thousands place

Step-by-step explanation:

Hope this helps any

these numbers form an addition and subtraction fact family 8,3,11 choose the fact family formed by these numbers the choices are a 8+3=11 11-3=8 b 8-3=5 11-3=8 11+8=19 11+3=14 c 11-8=3 11-3=8 11+3=14 c 11-8=3 11-3=8 11+3=14 11+8=19 d 3+8=11 8+3=11 11-8=3 11-3=8 is it abc or d what is the answer ​

Answers

Answer: A

Step-by-step explanation:

Which of the following would be appropriate to measure in centimeters

Answers

Answer:

c

Step-by-step explanation:

The average amount of time to finish this quiz is 26 minutes with a standard deviation of 1.2 minutes. What is the probability that you will finish this quiz in 23.84 minutes or less? Write your answer as a percentage with 2 decimals.

Answers

Answer:

What is the probability that you will finish this quiz in 23.84 minutes or less?

0.03593

Write your answer as a percentage with 2 decimals

= 3.59%

Step-by-step explanation:

The z score formula is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 26 minutes

Standard deviation = 1.2 minutes.

The probability that you will finish this quiz in 23.84 minutes or less(≤) is calculated as:

z = (x-μ)/σ

z = 23.84 - 26/1.2

z = -1.8

Probability value from Z-Table:

P(x ≤ 23.84) = 0.03593

Converting to percentage

0.03593 × 100

= 3.593

Approximately to 2 decimal places = 3.59%

Which is a unit rate 15 miles per gallon

Answers

Answer:

60/4

Step-by-step explanation:

Hope this helps.

Need help not sure if I got this right???????????

Answers

Yes it is right. Thats how you do that probably band skip school and ya get your class code for your the wym was your class code class starts tomorrow morning so I gotta get to

please help me with this

Answers

Answer:

y-5=3/4(x-6)

Step-by-step explanation:

The picture you posted is a bit unclear and difficult to look at, but that's alright.

This is a simple question if you understand that the point slope for equation is: y-y1 = m(x-x1).

m is the slope and (x1,y1) is a point on the graph.

So, if you input the point (6,5) on the graph, it works.

You can double check with the other equations to see that they are all wrong!

the selling price of a product is $20 and the markup is $4 What percentage of the selling price does the markup represent

Answers

Answer:

20%

Step-by-step explanation:

The ratio of 20 to 4 can be simplified to 5:1, by switching it around, we get 1/5. 1/5 as a percentage can be expressed as 20%

Answer:

20%

Step-by-step explanation:

Given the following question:

20% of 20

To find the answer we will use the formula to calculate percentages.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times20}{100}[/tex]
[tex]20\times20=400[/tex]
[tex]400\div100=4[/tex]
[tex]=4[/tex]

20% of 20 is 4, which means your answer is "20%."

Hope this helps.

Use the volume formula to find the volume of the prism.




A. 21 cubic units B. 42 cubic units C. 27 cubic units D. 9 cubic units

Answers

Answer:

D Because

Step-by-step explanation:

1/2 +1/2 is 1 so 1+1+3+4 is 9

HOPE THIS HELP! :)

Determine whether the pair of triangles is congruent.

Choose the correct answer below.

Congruent
Not congruent

Answers

Answer:

not congruent

Step-by-step explanation:

congruent is just a fancy way of saying the same in geometry. so to check if its congruent, see if all side lengths correspond to another side length on the other triangle. they do not, so they can't be congruent

hope this helped :)

Find the area of the sector. Round your answer to nearest tenth.

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =90 \end{cases}\implies \begin{array}{llll} A=\cfrac{(90)\pi (20)^2}{360}\implies A=100\pi \\\\\\ A\approx 314.2 \end{array}[/tex]

The ratio of the side length of a square perimeter is always 1 to 4 peter drew a sqaure with a perimeter of 28 inches​

Answers

Answer:

7

Step-by-step explanation:

Solve
8x + 12x = 180 what does x equal?

Answers

Answer:

8x + 12x = 180

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

8x + 12x = 180

20x = 180

x = 180/20

x = 9

Please mark me the brainliest!?!

(5,-5) (6,-6) (7,-7) (8,-8) what is the slope

Answers

The correct answer it’s 1

Answer:

i think its straight line

A tree is 26.4 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet.

Answers

Answer:

8.047 meters hope this helps and google as the converter if you need it

Answer:

8 meters

Step-by-step explanation:

26.4 / 3.3 = 8 meters

What is the value of the expression?

(7 2/3−4 8/9)+(5 2/3−2 1/2)

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

  5 17/18

Step-by-step explanation:

Your calculator can help with this.

__

The integer parts of the mixed numbers can be dealt with separately. The fractional parts are added and subtracted using a common denominator. Here, that denominator is the least common multiple (LCM) of 2, 3, and 9, so is 18.

  ((7 2/3) -(4 8/9)) +((5 2/3)) -(2 1/2))

  = (7 2/3) +(5 2/3) -((4 8/9) +(2 1/2))

  = 12 4/3 -(6 +8/9 +1/2)

  = 13 6/18 -(6 +16/18 +9/18)

  = 13 6/18 -(6 +25/18) = 13 6/18 -(7 7/18)

  = (13 -7) +(6/18 -7/18)

  = 6 -1/18

  = 5 17/18

__

Additional comment

Doing the math in the manner shown above means you can mostly do it without a calculator. If you like, you can convert all of the numbers to improper fractions, then add those. This often requires a calculator.

  = (138/18 -88/18) +(102/18 -45/18)

  = 50/18 +57/18

  = 107/18 = 5 17/18

How do you do this question?

Answers

Answer: Diverges

This series diverges by the limit test (some books may call it the nth term test).

Recall the limit test is the idea if the sequence doesn't converge to 0, then the series diverges.

In this case, the sequence converges to n/(7n) = 1/7 since all we are about are the leading terms when n gets very large.

After some very large n value, we're effectively adding on 1/7 or very close to it, each time. The infinite sum does not approach a fixed value. It keeps growing forever.

Factor 48e+180 using greatest common factor

Answers

12

48 = 24 × 31

180 = 22 × 32 × 51

The following histogram shows the relative frequencies of the hieight recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

Answers

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

what percent of 20 is 18?​

Answers

Answer:

90%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

18/20

The number above the bar is the numerator: 18

The number below the bar is the denominator: 20

Divide the numerator by the denominator to get fraction's value:

Val = 18 ÷ 20

Please help with this one

Answers

Answer:

The first answer is D

the second answer is B

Step-by-step explanation:

The reason why the first answer is D is because in the problem it says at least twice as many seniors is travelling compared to the juniors and D is the only one that shows at least twice than as many juniors and it also it true in the equation 230>2y+x

The reason why the second answer is B is because both of the lines touch at the points (-2,1) which is the same points as B

Which of the following is true?

A |−5| < 4
B |−4| < |−5|
C |−5| < |4|
D |−4| < −5

Answers

B is true

Step-by-step explanation:

because no number with them to lines can be a negative

The speed of a tidal wave, s, in hundreds of miles per hour can be modeled by the equation, [tex]s=\sqrt{t} -2t+6[/tex] , where t represents the time from its origin in hours. The graph of the tidal wave is shown.

Answers

Using it's concept, it is found that the domain of the function regarding the speed of the tidal wave is explained by:

[0, 4]: relating to the time of the tidal wave from it's origin in hours, restricted by the inability for the speed to be lees than zero.

What is the domain of a function?

It is the set that contains all possible input values for the function. In a graph, it is given by the x-values, that is, the horizontal axis values.

In this graph, the horizontal axis assumes values between 0 and 4, which is the time after the wave, and considering that the wave cannot be less than zero. Hence, the correct option is:

[0, 4]: relating to the time of the tidal wave from it's origin in hours, restricted by the inability for the speed to be lees than zero.

More can be learned about the domain of a function at https://brainly.com/question/25897115

Let f(x) = logx

What is the average rate of change of f(x) from 4 to 6?

Round to the nearest hundredth.

(a.) 0.09
(b.) 0.18
(c.) 0.20
(d.) 0.41

Answers

(a.) 0.09

equation:

f(x) = log(x)

rate of change:

[tex]\sf \rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \sf \dfrac{log(4) -log(6)}{4-6}[/tex]

[tex]\sf \rightarrow 0.088[/tex]

[tex]\sf \rightarrow 0.09[/tex]

Answer:

[tex]A.\: 0.09[/tex]

Step-by-step explanation:

Rate of Change is: [tex]\frac{y{_1-y{_2} } }{x_2-x_1}[/tex]

[tex]\frac{log(4)-log (6)}{4-6}[/tex]

[tex]0.088[/tex]

[tex]0.09[/tex]

Do you know the tricks to multiplying variables?

Answers

Answer:

yes I know how to to multiple variables.

maths I need help asap it's about sequence and functions good rewards!​

Answers

Answer:

a₄ = 50

Step-by-step explanation:

work back from the seventh term a₇ using the reverse of the term to term rule , that is

divide by 2 then subtract 3

a₇ = 442

a₆ = 442 ÷ 2 - 3 = 221 - 3 = 218

a₅ = 218 ÷ 2 - 3 = 109 - 3 = 106

a₄ = 106 ÷ 2 - 3 = 53 - 3 = 50

Answer:

[tex]a_{4}=50[/tex]

Step-by-step explanation:

[tex]a_{4} = 50[/tex]

a₇ = 442

a₆ = 442 ÷ 2 - 3 = 221 - 3 = 218

a₅ = 218 ÷ 2 - 3 = 109 - 3 = 106

a₄ = 106 ÷ 2 - 3 = 53 - 3 = 50

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