Use the drawing tool to form the correct answer on the provided graph plot the x-intercept y-intercept and axis of symmetry for the function below g(x) = x2+4x+3

Answers

Answer 1

Answer:

x-intercepts: x =-1, x=-3 when y=0

y-intercept, y=3, when x =0

axis of symmetry x = -2

Step-by-step explanation:

We are given the function: [tex]g(x) = x^2+4x+3[/tex]

We need to draw the graph for

x-intercept y-interceptaxis of symmetry

of the given function.

x-intercept

For finding x-intercept put y=0, in the given function, we will put g(x) =0

We know that: g(x)=y

[tex]y=x^2+4x+3[/tex]

Putting y=0, we get:

[tex]0=x^2+4x+3[/tex]

Now, we need to solve the equation by factorization, to find value of x

[tex]0=x^2+4x+3\\We\:can\:write\\x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+1)(x+3)=0\\x+1=0\:or\:x+3=0\\x=-1\:or\:x=-3[/tex]

So, we get x-intercepts: x =-1, x=-3 when y=0

y-intercept

For, finding y-intercept, put x =0

Putting x=0

[tex]g(x)=x^2+4x+3\\We\:know\:g(x)=y\\y=x^2+4x+3\\y=(0)^2+4(0)+3\\y=3[/tex]

So, we get y-intercept, y=3, when x =0

Axis of symmetry

The formula used to calculate axis of symmetry is: [tex]x = \frac{-b}{2a}[/tex]

We have b=4 and a = 1

Putting values and finding axis of symmetry

[tex]x =-\frac{b}{2a} \\x=-\frac{4}{2(1)}\\x=-2[/tex]

So, we get axis of symmetry x = -2

We will also be requiring vertex of the function:

We can find h = -b/2a (same as axis of symmetry) we get h =-2

k can be found as k=f(h)

Put h=-2 in the function:

g(-2)=(-2)^2+4(-2)+3

g(-2)=4-8+3

g(-2)=-1

So, we get k = -1

The vertex (h,k) is (-2,-1)

Now, the graph is attached in figure below.

Use The Drawing Tool To Form The Correct Answer On The Provided Graph Plot The X-intercept Y-intercept

Related Questions

The graph below shows the number of paintballs a machine launches, y, in x seconds

Answers

Answer:

64/4

Have an amazing day!

What is the product? [ 5 -2 -6 2] x [ -1 -1 ]

Answers

Answer:

118

Step-by-step explanation:

Distribute 5 through the parentheses

-5 - 5 - 2(-1 - 1) - 62(-1 - 1)

distribute -2 through the parentheses

-5 - 5 + 2 + 2 -62(-1-1)

distribute -62 through the parentheses

-5 - 5 + 2 + 2 + 62 + 62

calculate the sum & differences

118

Answer:

[ -3 4 ]

Step-by-step explanation:

Which is an equation of a direct proportion

Answers

Answer:

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Step-by-step explanation:

We need to find equation of direct proportion.

If y varies directly with x then:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality

So, Now Looking at all the options and comparing it with the general equation of direct proportion [tex]y=kx[/tex]

We get the correct option: y=8x

All other options are not according to direct equation

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

what is the meaning of the following data? 101, 143, 132, 155, 166​

Answers

Answer:

it depends on what you're doing

what's the name of the topic

There are 96 diners in a restaurant. If 3/8 of the diner are children, what fraction of
the diners are adults? How many adults is that?

Answers

2929292922929921919101020293949

[tex]601893654x59765=[/tex]

Answers

Answer:

3.5972174e+13 could i get brainliest please?

Step-by-step explanation:

Does Mario Kart have a secret agenda? Is it promoting capitalism, socialism, or communism?

Answers

I would say that despite the games childish and innocent story, the underlying theme seems to be promoting communism globally. Hope this helped
Pretty much all video games promote capitalism.

A bag contains 20 red marbles, 8 white marbles, and 2 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 120 times. How many white or gray marbles do you expect to get?
please answer soon!!

Answers

Answer:

10

Step-by-step explanation:

50 POINTS PLEASE HELP!!!.

Answers

Answer:

Use y=mx+b

Step-by-step explanation:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

To solve the problem, you use the equation y=mx+b

Answer:

[tex]f(x) = - \frac{5}{2} x + 4[/tex]

8 divided by 1 4/5 in either fraction form or just number

Answers

Answer:

4.44444444444 or 40/9

Step-by-step explanation:

i searched it up

8 divided by 1 4/5 in fraction form will be 40 / 9. Then the faction number 40 / 9 in the decimal form will be 4.4444.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The mixed fraction number is converted into a faction number.

⇒ 1 4/5

⇒ 1 + 4/5

⇒ (5 + 4) / 5

⇒ 9/5

Then the quotient of the numbers 8 and 9/5 will be given as,

⇒ 8 / (9/5)

⇒ 8 x 5 / 9

⇒ 40 / 9

The faction number 40 / 9 in the decimal form will be 4.4444.

More about the Algebra link is given below.

https://brainly.com/question/953809

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help! asap i’ll mark you brainliest please.

Answers

x=5 y=4, you have to do 7x-4=31 and 4x+8=24

3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it

Answers

Answer: 32 sq m.

Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.

A bag of rare spice that weighs 3/4 pounds will be split equally among 36 people. How much spice will each person get?

Answers

Answer:

Each person will get 1/48 of a pound of spice

Answer:

1/48 pound

Step-by-step explanation:

You have to do 3/4 divided by 36, so you get

[tex]\frac{3}{4} / 36 = \frac{3}{4} * \frac{1}{36} = \frac{1}{48}[/tex]

What is the slope of the line that passes through the points (4, 7) and (5,8)?
Write your answer in simplest form.

Answers

Answer:

1

Step-by-step explanation:

Use the coordinates of the points to determine the slope

slope = Δy/Δx = (8-7)/(5-4) = 1

Find AB. PLEASE HELP ASAP!!!

Answers

Answer: i believe its 15

Step-by-step explanation:

it continues to go down by seven (if this is wrong I´m so sorry )

Please help me with my homework!

Linda used a number line to simplify an expression. Which expression did Linda simplify based on the number line?

A. -9+1
B. -1-9
C. -1+(-8)
D. -1-(-8)

Answers

I am pretty sure the answer is c

Math Word Problem Please Help
A community drama centre sells tickets to a play, they sell 216 tickets. Adult tickets cost $10.25 and student tickets cost $8.00. The total ticket sales came to $2117.25. How many student tickets were sold? How many adult tickets were sold?

Answers

Answer: They sold 173 adult tickets and 43 student tickets.

Step-by-step explanation:

Equations:

10.25x + 8y = 2117.25x + y = 216X = adult tickets.Y = student tickets.

Solving:

10.25x + 8(216 - x) = 2117.25 (y = 216 - x, substitute in for y)10.25x + 1728 - 8x = 2117.25 (distribute)2.25x = 389.25 (combine like terms)x = 173173 + y = 216 (solve for y)y = 43

15 POINTSSS
An = 15 +3 (n-1)
term # l value of An
1 l ______
5 l ______
10 l ______
20 l ______
complete the table for each given sequence.

Answers

15
27
42
72

Plug in the number for “n” then solve: minus 1 times 3 then plus 15

A 1 : 6
B 1 : 3
C 2:1
D 3:1

Answers

Answer:

B)1:3

plz mark as brainliest

Write an equation for the line that passes through ​(−10​,3​) and whose slope is undefined. Give an answer in standard form.

Answers

Answer:

y=-10x+3

Step-by-step explanation:

The slope is -10

Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Answers

Answer:

27 years old

Step-by-step explanation:

Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? Solution

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s  ⇒ r = 0.45s

Sum of ages:

d + s + l + r = 141

Substitute and solve for s:

0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60

Rachel's age is:

r = 0.45*60 = 27

if
[tex]a - \frac{1}{a} = 9 find \: the \: value \: of \: {a}^{3} - \frac{1}{ {a}^{3} } [/tex]

Answers

1111 111111111111111 44444444444444444444 11111111111111111111111

Reindeer are fed 2 cups of corn for every 3 cups of grain. If you have 12 cups of corn, how many cups of grain need to be added?
S cups
1 cup
9 cups
13 cups

Answers

Answer = 13 cups

Step-by-step explanation :

2:3 ratio ( for every 2 cups of corn, there is 3 cups of grain )

12 divided by 2 = 6

6 x 3 ( for every 2 cups of corn, there is 3 cups of grain )

= 13

( if you need further explanation let me know )

Acellus
Find all the missing elements:
B
C
a
B = 32°
C = 125°
a = 7
Α'
b C
A = [?]° b = [ ] c = [ ]
Enter

Answers

Answer:

A = 23°

B = 9.5

C = 14.7

Step-by-step explanation:

Right Answers :)

The missing values are:

A = 23°

b = 9.5

c = 14.72

What is obtuse triangle?

"It is a triangle whose one of the angles measure greater than 90° and other two acute angles."

What is law of sines?

"The ratio of the length of a side of a triangle to the sine of the angle opposite to that side is the same for all sides and angles in a given triangle."

For given question,

We have been given an obtuse triangle ABC.

Here, ∠B = 32°

∠C = 125°

We know that the sum of all angles of  a triangle is 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A + 32° + 125° =180°

⇒ ∠A = 23°

Using the law of sines to triangle ABC,

[tex]\Rightarrow \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC} \\\\\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} =\frac{c}{sin125^{\circ}}[/tex]

Consider,

[tex]\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{b}{0.53} \\\\\Rightarrow 7\times 0.53=b\times 0.39\\\\\Rightarrow b = 9.5[/tex]

Now we find the length of the side AB.

[tex]\Rightarrow \frac{7}{sin23^{\circ}} =\frac{c}{sin125^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{c}{0.82} \\\\\Rightarrow 7\times 0.82=c\times 0.39\\\\\Rightarrow c = 14.72[/tex]

Therefore, the missing values are:

A = 23°

b = 9.5

c = 14.72

Learn more about the law of sines here:

https://brainly.com/question/17289163

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You are planning to make monthly deposits of $400 into a retirement account that pays 10 percent interest compounded monthly. if your first deposit will be made one month from now, how large will your retirement account be in 40 years?

Answers

Answer:

Using the future value (FV) formula,

R = .10/12

N = 12*30

P = 400

Your future value would be $904,195.17

Step-by-step explanation:

Jjfjfjfjfjrkkeoicidieieieijfjjgjgjrid dndjjdiekf. Ririekekrkkdkdfkkffkrkkrkrkficihfhdhdhhdjsj+Kelley

Mariam is going to see a movie and is taking her 3 kids. Each movie ticket costs $12
and there are an assortment of snacks available to purchase for $3 each. How much
total money would Mariam have to pay for her family if she were to buy 6 snacks for
everybody to share? How much would Mariam have to pay if she bought x snacks for
everybody to share?

Answers

Answer:

a) $66

b) $48 + $3x

Step-by-step explanation:

4(12)=48

3(6)=18

48+18=66

---------------

4(12)=48

Each snack is $3, so is the bought x snacks, it would be $3x

She would pay $48 on movie tickets and $18 on snacks which would be a grand total of $66. If she bought x amount of snacks the equation would be 3x+48

Step-by-step explanation:

I need help with finding slopes from two points thank you

Answers

Answer:

i do believe the answer is 6/7

Solve each system using SUBSTITUTION. Remember to check!


2) y = –2x – 1

y = 3x – 16

Answers

Answer:

[tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex]

Step-by-step explanation:

We can directly substitute y of the first equation to the second equation.

-2x - 1 = 3x - 16

5x = 15

x = 3

Substituting back to any of the two equations, we get y = -2(3)-1 = -7.  If you check with the second equation, y = 3(3)-16 = -7 as well.

Therefore [tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex].

Jill orders t-shirts on Amazon. Each shirt costs $15.00 including tax. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Jill's order is $78.25. How many t-shirts did Jill order

Answers

Answer:

5 shirts

Step-by-step explanation:

78.25- 3.25 = 75

75/ 15 = 5

Let X, denote the weight of a randomly selected prepackaged one-pound bag of carrots. Of course, one pound bags of carrots won't weigh exactly one pound. In fact, history suggests that Xi is normally distributed with a mean of 1.18 pounds and a standard deviation of 0.07 pound. Now, let W denote the weight of randomly selected prepackaged three-pound bag of carrots. Three pound bags of carrots won't weigh exactly three pounds either. In fact, history suggests that Wis normally distributed with a mean of 3.22 pounds and a standard deviation of 0.09 pound. Selecting bags at random, what is the probability that the sum of three one-pound bags exceeds the weight of one three-pound bag?

Answers

Answer:

0.9830 = 98.30% probability that the sum of three one-pound bags exceeds the weight of one three-pound bag

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Three one pound bags:

3 one pound mags, which have mean 1.18 and standard deviation of 0.07. The mean is 1.18 multiplied by 3, and the standard deviation will be 0.07 multiplied by the square root of 3. So

[tex]\mu_{1} = 3*1.18 = 3.54[/tex]

[tex]\sigma_{1} = 0.07\sqrt{3} = 0.1212[/tex]

Three pound bags:

Mean 3.22, standard deviation 0.09. So

[tex]\mu_{2} = 3.22, \sigma_{2} = 0.09[/tex]

What is the probability that the sum of three one-pound bags exceeds the weight of one three-pound bag?

Here, we work with the subtraction of the normal variables. The mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances. So

[tex]\mu = \mu_{1} - \mu_{2} = 3.54 - 3.22 = 0.32[/tex]

[tex]\sigma = \sqrt{\sigma_{1}^2 + \sigma_{2}^2} = \sqrt{0.1212^2+0.09^2} = 0.151[/tex]

This is the probability of the subtraction being positive, that is, 1 subtracted by the pvalue of Z when X = 0. Then

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

[tex]Z = \frac{0 - 0.32}{0.151}[/tex]

[tex]Z = -2.12[/tex]

[tex]Z = -2.12[/tex] has a pvalue of 0.0170

1 - 0.0170 = 0.9830

0.9830 = 98.30% probability that the sum of three one-pound bags exceeds the weight of one three-pound bag

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