State the y-intercept,x-intercepts,and vertex in point form.x2= is power of x to the 2 I can’t type 2 to the power on iOS Problem:Y=x2+2x-8

Answers

Answer 1

ANSWER:

\(\begin{gathered} \text{ y-intercept = }(0,-8) \\ x-\text{intercepts = }(2,0),(-4,0) \\ \text{vertex = }(-1,-9) \end{gathered}\)

STEP-BY-STEP EXPLANATION:

We have the following function:

\(y=x^2+2x-8\)

To calculate the y-intercept, the value of x must be 0, therefore:

\(\begin{gathered} y=(0)^2+2\cdot0-8 \\ y=-8 \\ \text{ y-intercept = }(0,-8) \end{gathered}\)

To calculate the x-intercept, the value of y must be 0, therefore:

\(\begin{gathered} 0=x^2+2x-8 \\ (x-2)\cdot(x+4)=0 \\ x-2=0\rightarrow x=2 \\ x+2=0\rightarrow x=-4 \\ x-\text{intercepts = }(2,0),(-4,0) \end{gathered}\)

In the case of the vertex, we calculate it as follows:

\(\begin{gathered} x_v=-\frac{b}{2a} \\ a=1 \\ b=2 \\ \text{ replacing:} \\ x_v=-\frac{2}{2\cdot1}=-1 \\ \text{ now, we calculate y, replacing:} \\ y_v=(-1)^2+2\cdot(-1)-8 \\ y_v=1-2-8 \\ y_v=-9 \\ \text{therefore:} \\ \text{vertex = }(-1,-9) \end{gathered}\)


Related Questions

Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°. yeah

Answers

Answer:

Step-by-step explanation:

this triangle is regular one

we can't apply the pytahgorian theorem 5²+6²≠7² the angles have different sizes 75≠60≠45the sides have different lengths 5≠6≠7

Answer:

obtuse scalene triangle

Which division problem is represented with this model? 14÷3 15÷3 13÷2 15÷4

Which division problem is represented with this model? 143 153 132 154

Answers

Answer:

The division model is 15 ÷ 3

Step-by-step explanation:

Required

Interpret the division model

A division model is of the form: Dividend ÷ Divisor

In the attached figure (in the question), there are 5 vertical partitions.

This vertical partitions represents the result of the model

Also from the question attachment;

The horizontal partitions on the left, if traced to the right side of the diagram means that each vertical partition is divided into 3 and this represents the divisor of the model.

So, we have:

\(Divisor = 3\)

To get the quotient of the model, I'll make use of my attached file.

Counting the number of boxes, we can see that there are 15 boxes in total.

So, we have:

\(Dividend = 15\)

Hence, the division model is: 15 ÷ 3

Which division problem is represented with this model? 143 153 132 154

Answer:

1/5 ÷ 3

Step-by-step explanation:

pick the answer If you trust me ._.

A woman paddling a canoe downstream with the river current travels 20 miles in 2 hours. On the return trip, she paddles the same distance upstream against the river current in 5 hours. Write and solve a system of two linear equations to determine the rate of the boat in calm water and the rate of the current, both in miles per hour.

Answers

The rate of the boat in calm water is  10 miles/hour

The rate of the current is 4 miles/hour

What is rate?

Rate can simply be described as the ratio between two related quantities having varying or different units.

It is a relationship between two different units.

From the information given, we have that;

The distance travelled = 20 milesFor the river current = 2 hoursFor downstream = 5 hours

Rate for the calm water is ;

= 20 miles/2 hours

= 10 miles/hout

Rate for the current;

= 20 miles/ 5 hours

= 4 miles/hour

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the tuition at a certain college was $ 23, 472 last year and increased 5.5 % from last year to the current year . How much this is year 's tuition is $

Answers

Answer:

$24,862.96

Step-by-step explanation:

100% = $23,472

105.5% = answer?

To convert a percentage to a decimal, you have to divide by 100:

100% = 1.0

5.5% = 0.055

105.5% = 1.055

1.055 × $23,472 = $24,862.96

A test was given to a group of students. The grades and gender are summarized below

A B C Total
Male 3 10 12 25
Female 14 2 13 29
Total 17 12 25 54


If one student is chosen at random from those who took the test,

Find the probability that the student got a 'A' GIVEN they are male.

Answers

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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I'LL MARK THE BRAINLIEST
The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.

What is the value of z?

Enter your answer as a decimal or mixed number in simplest form in the box.

Answers

The value of z in the circle is 2.3 units

How to determine the value of z in the circle

In the question, the following statements represents the given parameters

The length of a radius of a circle is represented by the expression z + 3.6. The given circle diameter is 11 4/5 ft.

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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10.6.23
Question Help
Becky would like to be a millionaire in 40 years. How much would she need to invest quarterly in a sinking
fund paying a 3% interest rate compounded quarterly to accumulate $1,000,000 in 40 years?

Answers

I = $ 1,200,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

on a principal of $ 1,000,000.00

at a rate of 3% per year

for 40 years is $ 1,200,000.00.

Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.​

Answers

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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When Kenny bought his new guinea pig, the pet store told him it would weigh about 2
pounds when fully grown. Now fully grown, the guinea pig weighs 1.8 pounds. What is the
percent error for the pet store's prediction?

Answers

Answer:

the correct answer is 11.1% _your welcome ..kharis

Step-by-step explanation:

the correct answer is 11.1% _your welcome ..kharis

To find the percent error, start by listing the key information from the problem.

The pet store told Kenny the guinea pig would weigh 2 pounds when fully grown.

It actually weighs 1.8 pounds fully grown.

First, find the amount of error. It is the difference between 2 and 1.8, which is 0.2.

Now, use the formula to find the percent error.

percent error

=

amount of error

correct amount

=

0.2

1.8

=

0.1111…

You can rewrite this as a percent rounded to the tenths place, 11.1%

.

So, the percent error for the pet store's prediction is about 11.1%

.

Write the product using exponents. I need help I’m not sure how to do this

Write the product using exponents. I need help Im not sure how to do this

Answers

Given:

The given expression is,

\(\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}\)

Required:

Write the product using exponent.

Answer:

Let us compute the product using exponents.

\(\begin{gathered} \frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5}\cdot\frac{1}{5} \\ =(\frac{1}{5})^5 \\ =\frac{\left(1\right)^5}{\left(5\right)^5} \\ =\frac{1}{3125} \end{gathered}\)

Final Answer:

The product using exponents is given by,

\(\frac{1}{3125}\)

A researcher is interested in whether or not there is any association between normal method of transportation taken to work and reported mood at the beginning of a typical Monday morning. He classifies participants into three transportation groups (those who: bike/walk, take public transit or drive) and asks them how they typically feel on a normal Monday morning: happy/excited, angry/irritated, or sleepy. Data from his survey on 200 participants are presented below.
Happy Angry sleepy Total
Bike/Walk 20 7 13 40
Public transit 13 5 42 7
Drive 17 18 65 100
Total 50 30 120 200
You would like to test his question of whether or not there is any association between normal method of transportation taken to work and reported mood at the beginning of a typical Monday morning. Calculate a two variable chi-square test using an alpha (α) level of 0.01.
You will use the information above to complete the question parts below for a two variable chi-square test.
Part A: Which of the following represents the appropriate null hypothesis(H0), given your research question of interest?
Part B: Which of the following represents the appropriate alternative hypothesis (H1), given your research question of interest?
Part C: What is your degrees of freedom (df)?
Part D: What is the critical chi-square value (from the Chi-square table) appropriate for your test, testing at an alpha level (α) of 0.01?
Part E: What is your calculated chi-square statistic?
Part F: What is your decision about the null hypothesis based on your test results?

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

A researcher is interested in whether or not there is any association between normal method of transportation

I need some help please and thank you

I need some help please and thank you

Answers

Answer:

its A

Step-by-step explanation:

PLSSS HELP ME TYSMMMM

PLSSS HELP ME TYSMMMM

Answers

the answer is C I think hopeful these helps

BRAINLYY PLZZZ

Answer:

B heppppppp tarada ejejjejejeje

It is just long text .This is 8 grade . inequalities .I need just equitation .The rest I knew .

So short answer pls. Anybody

Thank you

It is just long text .This is 8 grade . inequalities .I need just equitation .The rest I knew .So short
It is just long text .This is 8 grade . inequalities .I need just equitation .The rest I knew .So short

Answers

My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

How to explain the information

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

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Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?

Answers

The distance between points C and D is given as follows:

5 units.

How to calculate the distance between two points?

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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-2x(1-5x)>-(x+1)-1



help

Answers

Answer:

-2x+10x^2 > -x-2

Step-by-step explanation:

All you are doing is combining like terms to simplify your answer.

Match each equation with its solution
= 6
=4
Ž= -4
+
X=-8
-5x = 26
1
x= 28.8
-2=-4
=
X=-5.2
Which pairs go together?

Answers

Answer:

please make the equations and stuff more legible so that I can solve it for you :)

Step-by-step explanation:

Answer:

answer in picture

Step-by-step explanation:

Match each equation with its solution= 6=4= -4+X=-8-5x = 261x= 28.8-2=-4=X=-5.2Which pairs go together?

What is 0.08 is 10 times as much as

Answers

Answer:

Answer. Step-by-step explanation: The answer is 0.8 because if something is 10 x of something in decimal terms it would be the number after the decimal getting smaller.

Answer al 4 question and I’ll give your Brainly

Answer al 4 question and Ill give your Brainly

Answers

Answer:

C-C-B-D

Step-by-step explanation:

Hope this helps and look out for people trying to take your points!

The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree​

Answers

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Determine the missing statements and reasons for the following proof.

Determine the missing statements and reasons for the following proof.

Answers

Answer:

Step-by-step explanation:

Determine the missing statements and reasons for the following proof.

orthogonal projection onto plane 1 point possible (graded) find an expression for the orthogonal projection of a point onto a plane that is characterized by and . write your answer in terms of , and . (enter theta 0 for the offset . enter norm(theta) for the norm of a vector . use * to denote the dot product of two vectors, e.g. enter v*w for the dot product of the vectors and . )

Answers

This is the expression for the orthogonal projection of v onto the plane P characterized by θ and θ_0 is, proj_P(v) = [v₁ - (v₁ cos(θ) + v₂ sin(θ)) cos(θ), v₂ - (v₁ cos(θ) + v₂ sin(θ)) sin(θ)]

Let's assume that the plane P is given by the normal vector n = [cos(θ), sin(θ)], and a point on the plane is given by r = [cos(θ_0), sin(θ_0)].

To find the orthogonal projection of a point v onto P, we need to find the component of v that lies in the direction of the normal vector n, and then subtract that component from v. This can be done using the dot product of v and n:

proj_n(v) = (v · n) / ||n||^2 × n

where · denotes the dot product, ||n|| is the length of n, and proj_n(v) is the projection of v onto n.

To find the projection of v onto P, we need to subtract the projection of v onto n from v:

proj_P(v) = v - proj_n(v)

= v - (v · n) / ||n||^2 × n

Substituting the expressions for n and θ, we get:

proj_P(v) = v - (v · [cos(θ), sin(θ)]) / (cos^2(θ) + sin^2(θ)) × [cos(θ), sin(θ)]

= v - (v₁ cos(θ) + v₂ sin(θ)) / (cos^2(θ) + sin^2(θ)) × [cos(θ), sin(θ)]

= v - (v₁ cos(θ) + v₂ sin(θ)) / 1 × [cos(θ), sin(θ)]

= [v₁ - (v₁ cos(θ) + v₂ sin(θ)) cos(θ), v₂ - (v₁ cos(θ) + v₂ sin(θ)) sin(θ)]

where v₁ and v₂ are the components of v in the x and y directions, respectively. This is the expression for the orthogonal projection of v onto the plane P characterized by θ and θ_0.

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The given question is incomplete, the complete question is:

Find an expression for the orthogonal projection of a point v onto a plane P that is characterized by θ and θ_0. Write your answer in terms of v, θ and θ_0

Petra jogs 2 miles in 22 minutes. At this rate, how long would it take her to jog 11 miles?

Petra would take ___ minutes to jog 11 miles.

Answers

Answer:

11 minute

Step-by-step explanation:

22 min/2 miles

11 min/ 1 mile

22 minutes ÷2=11 minutes for 1 mile

11 ×11=121 for 11 miles

1. If 4r – 10 = 18, what is the value of 2r + 9?

Answers

Answer:

23

Step-by-step explanation:

4r-10=18

4r=28

4r/4=28/4

r=7

2(7)+9=23

I’m pretty sure the answer is 23

Eric from Exercise 3.30 continues driving. After three years, he still has no traffic accidents. Now, what is the conditional probability that he is a high-risk driver?

Exercise 3.30: https://brainly.com/question/15184264

Answers

The conditional probability that he is a high-risk driver is 0.0923 or 9.23%

What is conditional probability?

The probability of an event happening given that another event has already happened is known as conditional probability.

We have to use the Poisson distribution:

P(x) = (0.2 x e⁻¹) / [(0.2 x e⁻¹)+ (0.8 x e⁻⁰°¹)]

e = 2.71828 (given)

lambda = λ = 0.1

0.073578 / (0.073578 + 0.72387) = 0.073578 / 0.79744 = 0.092267 or 9.23%

The Poisson distribution is used to calculate the probability of occurrence of independent and random variables.

Therefore, the conditional probability that he is a high-risk driver is 0.0923 or 9.23%

The complete question is given below:-

An insurance company divides its customers into 2 groups. Twenty per cent of customers are in the high-risk group, and eighty per cent are in the low-risk group. The high-risk customers make an average of 1 accident per year while the low-risk customers make an average of 0.1 accidents per year. Eric had no accidents last year. What is the probability that he is a high-risk driver?

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PLEASE HELP!!!!!!!!!!!!!

PLEASE HELP!!!!!!!!!!!!!

Answers

The answer is approximately 242.2!
Hope this helps!

Find the height of the tower using the information given in the illustration.

Find the height of the tower using the information given in the illustration.

Answers

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Find the height of the tower using the information given in the illustration.

The HCF of three numbers is 8 and the sum of these numbers is 80. List the possible set of such three numbers.

Answers

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

(8, 16, 56): In this case, A = 8, B = 16, and C = 56. All three numbers are divisible by 8, and their sum is 8 + 16 + 56 = 80.(16, 8, 56): Here, A = 16, B = 8, and C = 56. Again, all three numbers are divisible by 8, and their sum is 16 + 8 + 56 = 80.(24, 8, 48): In this combination, A = 24, B = 8, and C = 48. All three numbers are divisible by 8, and their sum is 24 + 8 + 48 = 80.(8, 24, 48): Similarly, A = 8, B = 24, and C = 48. All three numbers are divisible by 8, and their sum is 8 + 24 + 48 = 80.

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

Victor jumped 6 feet high and then 2 more yards. How many yards did he jump in all?

Answers

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Find the inverse matrix or type
"none".

Find the inverse matrix or type"none".

Answers

Answer:

[-0.2  0.4]

[0.8   -0.6]

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