Find the x-intercept(s) and the coordinates of the vertex for the parabola.

Find The X-intercept(s) And The Coordinates Of The Vertex For The Parabola.
Find The X-intercept(s) And The Coordinates Of The Vertex For The Parabola.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 2x - 8

To find the x- intercepts let y = 0 , that is

x² - 2x - 8 = 0 ← in standard form

(x - 4)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

x- intercepts : x = - 2, x = 4

The x- coordinate of the vertex is mid way between the x- intercepts, that is

[tex]x_{vertex}[/tex] = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Substitute x = 1 into the equation for corresponding y- coordinate

y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9

vertex = (1, - 9 )


Related Questions

Anyone know how to solve this

Answers

Answer:

Y=1800+150x

Step-by-step explanation:

Answer:

4. Y = 150x + 1800  

Which rule represents the translation from he pre-image, ABCD, to the image, A’B’C’D’?

Answers

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Quadrilateral ABCD has been translated to form an image A'B'C'D' by shifting 'a' units right and 'b' units up.

Let the rule for translation is,

(x, y) → (x + a, y + b)

Coordinates of point A is (-4, 4) and the coordinates of the image A' are (-2, 5).

So, (-4, 4) → [(-4 + 2), (4 + 1)]

Therefore, the translation can be represented by [tex]T_{2, 1}(x, y)[/tex] (shifted 2 units right and 1 unit up).

Option (4) will be the answer.

Answer:

T2,1(x,y)

Step-by-step explanation:

1. Determine the value of 'p' in the equation 4p = 48

2. Simplify the fraction 60/144

3. What is the surface area of a cube with side lengths of 3cm?

Answers

1) sorry i don't know =(

2)- 5/12 is the simplified fraction for 60/144.

3)A=54cm²

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16. Which sentence would be a good counterexample to this statement?

A line can exist in only one plane.

A) A line intersects one plane and then another.
B) A line that is coplanar exists in more than one plane.
C) A line is the intersection of two planes.
D) A line is parallel to one plane at a time.

17. Which statement is needed to complete this syllogism?

If the angles of a triangle are all equal, then the sides of a triangle are all equal.
If the sides of a triangle are all equal, then the triangle is equilateral.
Therefore, if the angles of a triangle are all equal,then________________________.


A) the sides of a triangle are all equal
B) the angles of a triangle are all equal
C) the triangle is equiangular
D) the triangle is equilateral

Answers

Answer:

16. A

17. D

Step-by-step explanation:

16. By saying that a line intersects one plane and then another, you are saying that a line is existing on two planes. This is a direct contradiction to the statement.

17. The triangle is equilateral because syllogism is basically connecting the dots. If the angles in the triangle are all equal, it has all equal sides, and if it has all equal sides, then it is equilateral, therefore, it is D, not C.

A random two digit number (10-99) is drawn. Find P(odd number)

Answers

Answer:

P(odd number) = 0.5

Step-by-step explanation:

There are 90 members in the set (10, 11, 12, .. , 97, 98, 99)

When we have an even number of consecutive numbers, the number of even numbers equals the number of odd numbers. This means that half of the numbers in this set are even and half of them are odd.

So the probability of P(odd number) = 0.5

A baseball player comes up to bat 3 times during a league game. He either gets a hit or gets an out. What is the probability that the player gets 3 hits in the three bats ?

Answers

Answer:

Since there are 2 possibilities for each bat (hit or out), the amount of total possibilities is 2 * 2 * 2 = 8. There is only one possibility out of those eight that gives us three hits, therefore the probability is 1 / 8 or 0.125.

Solve for x


There’s no options sorry ya’ll please answer I’m desperate

Answers

Answer & Step-by-step explanation:

The triangle shown is an isosceles triangles. Isosceles triangles have a pair of congruent angles which are found at the bottom. These angles are called the base angles. So, when you find the measurement of one of the base angles, then the other base angle will have the same measurement.

We can find the measurement of x by subtracting 130 from 180. We are doing this because all triangles have a sum measurement of 180°. After we do this, then we will divide that number by 2 to find the measurement of x.

180 - 130 = 50

Now, we divide 50 by 2.

50 ÷ 2 = 25

So, the measurement of x is 25°.

Simplify 4^3•4^5.
help asap !

Answers

Answer:

D

Step-by-step explanation:

when there are exponents with same bases multiplied by each other, keep the base and add the exponents

4^(3)+4^(5)=4^8

4^8 is D in this question

During the late 1980s and the early 1990s the Pepsi Challenge was in full swing. During the challenge, participants were asked to taste cola from both Coke and Pepsi. Once they had tasted both drinks, the participants were asked to report which was better tasting. The results indicated that participants found Pepsi products to be better tasting. What is the dependent variable in this study? coruse hero psyc 255

Answers

Answer:

Taste

Step-by-step explanation:

In the challenge, participants were asked to taste cola from both Coke and Pepsi. They were to give a report on which of the two drinks tasted better.

The taste reported by the participants is dependent on the type of cola taken (either Coke or Pepsi).

Therefore, the taste is the dependent variable while the types of cola are the independent variables.

A magazine asks its readers to complete a survey on their favorite music and tv celebrities. Classify this sample

Answers

Answer:

All the elements in the sample share a common characteristic. All of them read the magazine, so we may have a biased sample. And we also have the bias of the fact that only the volunteers will respond to this survey, so this is a biased sample.

This type of sample is usually called convenience sampling, where the elements in the sample are the most readily available (and what is most readily available for a magazine than its own readers?)

Then the type of sample is a convenience sample and a biased sample.

If a line crosses the y-axis at (0,1) and has a slope of 4/5 what is the equation of the line

Answers

Answer:

y = 4/5x + 1

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 4/5x + 1

Answer:4y-5x=5

Step-by-step explanation:

The following simple linear regression analyzes the relationship between the number of classes students are taking (the independent variable, labeled in the following output as X[,2]) and the number of books they have in their backpack (the response) at randomly chosen times. Assume all relevant assumptions are met. Which of the following are correct interpretations of the slope?

a. Each additional class a student takes is associated with about a 58.7% increase in the number of books in their backpack on average.
b. Each additional class a student takes is associated with about an additional 0.587 books in their backpack on average.
c. Taking an additional class causes students to carry 0.587 extra books with them on average.
d. The population average number of books in a studentâs backpack is 0.587.

Answers

Answer:

The answer is B.

Step-by-step explanation:

Why do we say that the answer is B?

For each additional class there is a significant increase that represents a minimum value over a total of books, that is, 100% that will always remain, therefore the increase will be an additional average over the other "books" that are already in backpack.

The function f(x)=2x2−x+4; f ( x ) = 2 x 2 − x + 4 is defined over the domain 0 ≤ x ≤ 3 Find the range of this function. A. 4 < f(x) < 7 B. 4 < f(x )< 19 C. 4 ≤ f(x) ≤ 19 D. 4 ≤ f(x) ≤ 25

Answers

Answer:

  C.  4 ≤ f(x) ≤ 19 . . . . . . best of bad answer choices

Step-by-step explanation:

When looking for the range of a function on an interval, one must check the function values at the ends of the interval, along with any local maxima or minima.

Here, the function values at the interval ends are ...

  f(0) = 4

  f(3) = 2·3² -3 +4 = 19

The axis of symmetry is located at ...

  x = -b/(2a) = -(-1)/(2(2)) = 1/4

This is a value in the interval, so will be the location of the minimum value of the function.

  f(1/4) = 2(1/4)² -1/4 +4 = 3.875

The range of f(x) on the interval [0, 3] is [3.875, 19]:

   3.875 ≤ f(x) ≤ 19

__

All of the answer choices are incorrect. Please discuss question this with your teacher.

The sales price of a single family house in Charlotte is normally distributed with mean $210,000 and standard deviation $35,000. 1. A random sample of 49 single-family houses in Charlotte is selected. Let X ¯ be the mean sales price of the sample. What is the mean of X ¯?

Answers

Answer:

E(X ¯)=210,000.

Step-by-step explanation:

A sampling distribution for samples of size n=49 from a population with means μ=210,000 and standard deviation σ=35,000, has the following means anda standard deviation:

[tex]\mu_s=\mu=210,000\\\\\sigma_s=\sigma/\sqrt{n}=35,000/\sqrt{49}=35,000/7=5,000[/tex]

If X ¯ is the mean sales price of the sample, it will have a mean value of E(X ¯)=210,000.

resuelve las siguientes ecuaciones tales que 0° ≤ x ≤ 360°
sen x=sen (π/2-x)
cos x + 2 sen x= 2
csc x = sec x
2 cos x * tan x -1 = 0
4 cos2 x = 3 - 4 cos x

Answers

Answer:

4cos=2X

X=3-4COS

X=-1

g Suppose you have $100 of endowment, and you are offered a chance to buy a lottery which costs $36. The lottery has 18% of chance to win a prize of $G, or you just lose and get nothing. Suppose your utility function on wealth is U(w)=\sqrt{w}. What is the least prize size G that you will be willing to buy the lottery?

Answers

Answer:

$301.23

Step-by-step explanation:

We have that the function of wealth is U (w) = w ^ (1/2)

So, since what you have at the start is 100, we replace:

U (w) = 100 ^ (1/2)

U = 10

Now we have two cases:

the first one we win, then the winnings would be 100 minus the cost of the lottery, that is 36 and to that add G of the prize:

100 - 36 + G = 64 + G

In the second case, where we lose, the subtraction of 100 that we have minus the cost of the lottery would be equal 36

100 - 36 = 64

Therefore, we have to win with an 18% probability, therefore losing would be 82% (100% - 18%)

0.18 * (64 + G) ^ (1/2) + 0.82 * 64 ^ (1/2)

solving:

0.18 * (64 + G) ^ (1/2) + 6.56

Now this is equal to U which is equal to 10:

10 = 0.18 * (64 + G) ^ (1/2) + 6.56

(10 - 6.56) /0.18 = (64 + G) ^ (1/2)

(64 + G) ^ (1/2) = 19.11

(64 + G) = 365.23

G = 365.23 - 64

G = 301.23

Therefore, the smallest G prize size that the lottery will be willing to buy is $ 301.23

is the inverse of the function shown below also a function?

Answers

Answer:

Yes

Step-by-step explanation:

Yes.  Here's why:  We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x.  The resulting graph is true for all x values and for all y values; it passes the vertical line test.

Answer:

yes. ^^^^^^^^

Step-by-step explanation:

We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x.  The resulting graph is true for all x values and for all y values; it passes the vertical line test.

Martin wants to use coordinate geometry to prove that the opposite sides of
a rectangle are congruent. He places parallelogram ABCD in the coordinate
plane so that A is (0,0), B is (a,0), Cis (a, b), and Dis (0, b).
What formula can he use to determine the distance from point D to point A?

Answers

Answer:

Option (B)

Step-by-step explanation:

Coordinates of the vertices of the rectangle were A(0, 0), B(a, 0), C(a, b) and D(0, b)

Formula to determine the distance between two points with the vertices (x, y) and (x', y') is,

d = [tex]\sqrt{(x-x')^2+(y-y')^2}[/tex]

For the length of AD,

AD = [tex]\sqrt{(0-0)^2+(b-0)^2}[/tex]

     = [tex]\sqrt{b^2}[/tex]

     = b

Therefore, Option (B) will be the answer.

11. A square with sides
3/8
inch has a total area of:

Answers

Answer:

[tex](\frac{3}{8}\,in )^2=\frac{9}{64} \,in^2=0.140625\,\,i^2[/tex]

Step-by-step explanation:

Recall that the formula for the area of a square of side L is: [tex]Area=L^2[/tex]

Therefore, for this case:

[tex]Area=L^2\\Area = (\frac{3}{8} \,in)^2\\Area=\frac{9}{64} \,\,in^2\\Area=0.140625\,\,in^2[/tex]

In the diagram below, measure of arcABC = 230º.


What is the measure of

Answers

Answer:

  65°

Step-by-step explanation:

Short arc AC is the difference between 360° and long arc ABC:

  arc AC = 360° -230° = 130°

The inscribed angle ABC that intercepts this short arc will have half the measure of the arc:

  ∠ABC = 130°/2 = 65°

round 3, 942,588 to the nearest thousand

Answers

Answer:

3, 943,000

Step-by-step explanation:

3, 942,588

The 2 is in the thousands place

We look at the hundreds place

There is a 5, that means we round up

2 becomes a 3

3, 943,000

5. The value of 25sqare -24sqare

Answers

Answer:

49

Step-by-step explanation:

25²-24²

625-576

=49

use calculator lah dehh

Two forces of magnitudes 16 and 20 pounds are acting on an object. The bearings of the forces are N75E and S20E (that is, 75∘ east of north and 20∘ east of south), respectively. How many degrees east of south is the resultant force? (Round to two decimal places and do not enter the ∘ symbol.)

Answers

Answer:

20.58

Step-by-step explanation:

Force A = 16 pounds

direction = N75E = 75° in the first quadrant

Force B = 20 pounds

direction = S20E = 180° - 20° = 160° in the fourth quadrants

we resolve the forces into their x and y resultant forces.

For the y axis forces,

-(16 x sin 75°) + (20 x sin 160°) = Fy

-15.45 + 6.84 = Fy

Fy = -8.61 N

For the x axis forces'

(16 x cos 75°) + (20 x cos 160°) = Fx

-4.14 - 18.79 = Fx

Fx = -22.93 N

Resultant force = [tex]\sqrt{(Fx)^{2} + (Fy)^{2} }[/tex] =  [tex]\sqrt{(-8.61)^{2} + (-22.93)^{2} }[/tex]

Resultant force = 24.49 N

angle made by the resultant force is,

∅ = [tex]tan^{-1}[/tex] [tex]\frac{Fy}{Fx}}[/tex]

∅  =  [tex]tan^{-1}[/tex] [tex]\frac{-8.61}{-22.93}}[/tex]

∅ =  [tex]tan^{-1}[/tex] 0.3755

∅ = 20.58

Find the area of a rectangle with base 4ft and height 4 in.

Answers

Hey there!

Answer:

A = 192 in²

Step-by-step explanation:

Base = 4 ft

Height = 4 in

Convert the length of the base to inches:

4 ft = 4 ×12 = 48 in

Formula for the area of a rectangle: A = l × w (in this instance, 'l' is the height)

4 × 48 = 192 in²

Answer:

A =192 in^2

Step-by-step explanation:

Change the 4 ft to inches

4 * 12 = 48 inches

A = l*w

A = 48*4

A =192 in^2

A rectangular box is 4 cm wide, 4 cm tall, and 10 cm long. What is the diameter of the smallest circular opening through which the box will fit? Round to the nearest tenth of a centimeter.

Answers

Answer:

The diameter of the smallest circular opening through which the box will fit  is 5.7 cm to the nearest tenth

Step-by-step explanation:

The dimensions of the rectangle are :

height: 4 cm

length: 10 cm

breadth: 4 cm

The diameter of the smallest circular opening through which the box will fit will be equals to the diagonal of a face of the rectangular box.

The face we will try to fit in first will determine the diagonal that we will calculate.

Let us try to fit in the right side of the rectangular box. The face we will have at that side is a square of 4 cm by 4 cm which is formed by the height and the width of the box.

We can calculate the diagonal using Pythagoras Theorem:

diagonal = [tex]\sqrt{height^{2}+ breadth^{2}}= \sqrt{4^{2}+4^{2}}=5.657 \approx 5.7cm[/tex] to the nearest tenth

A company makes candles in the shape of a right cone. The lateral surface of each candle is covered with paper for shipping and each candle also has a plastic circular base. Find the amount of paper needed to cover the lateral surface of each candle. Then find the total amount of paper and plastic needed for the candle. Round to the nearest tenth. Use 3.14 for π.

Answers

Answer:

If we have a cone-shape candle with r=2 cm and h=3 cm, then the amount of paper needed is 18.84 cm^2 and the amount of plastic needed is 12.56 cm^2.

Step-by-step explanation:

The question is incomplete: no numerical values for the dimensions of the cone are given.

A right cone is defined by the radius r of the base and the height h.

The base area is the area of a circle with radius r:

[tex]A_b=\pi r^2[/tex]

The lateral area is calculated as:

[tex]A_l=\pi \cdot r\cdot l[/tex]

As the values for r and h are not given, we will use an example with r=2 and h=3.

Then, the amount of paper needed is:

[tex]A_l=\pi \cdot r\cdot l=3.14\cdot (2\,cm)\cdot (3\, cm)=18.84\,cm^2[/tex]

The amount of plastic needed is:

[tex]A_b=\pi r^2=3.14\cdot (2\,cm)^2=3.14\cdot 4\,cm^2=12.56\,cm^2[/tex]

The Hartnett Corporation manufactures baseball bats with Pudge Rodriguez's autograph stamped on them. Each bat for $35 and has a variable cost of $22. there are $97,500 in fixed costs involved in the production process.
Find the sales (in units) needed to earn a profit of $300,000.

Answers

Answer:

Find the sales (in units) needed to earn a profit of $262,500

Step-by-step explanation:

hope this is helpful to you bro

What’s the correct answer for this question?

Answers

Answer:

C:

Step-by-step explanation:

In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc

So

AQD = ARC AD/2

<AQD = 78/2

<AQD = 39°

Multiply or divide as indicated x^10/x^4

Answers

Answer:

X^6

Step-by-step explanation:

Which of the following expressions represents "the sum of n and the sum of 8 and 6"? n(8 + 6) n + (8 + 6) (n + 6)8

Answers

the answer is n+(8+6)
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