3) Using your graphing calculator, create a graph of the function f(x) = x2 + 4x + 3 What is the vertex? What are the roots? What is the equation of the axis of symmetry?

Answers

Answer 1

Answer:

Step-by-step explanation:

Input the function f(x) = x^2 + 4x + 3 and graph it (using the calculator) for the interval [-5, 5].  The roots are the x values at which this graph crosses the x axis and are {-3, -1).  The axis of symmetry is the vertical line through x = -2.


Related Questions

Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.

Answers

Answer:

7.96 x 10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].

[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].

[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].

[tex]= \frac{80 - 4}{10000}[/tex].

[tex]= \frac{76}{10000}[/tex].

[tex]= \frac{38}{5000}[/tex].

learn more about numerical expressions here :

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If 3 men can paint 4 houses in 5 days , how many days does it take for 7 men paint 14 houses ??? help me plz

Answers

Answer:

3men = 4houses= 5days

7men= 14houses= x days

14÷7 = 2days

Write the definition of "congruent" in your own words.

Answers

Answer:

The same shapes but flipped or turned.

Step-by-step explanation:

Answer:

the same shape and size but we allowed to flip slide or turn

hope this help

Mary wears an outfit everyday that consists of one top one bottom and one scarf.Her wardrobe consist of 3 bottoms 5 tops, and 2 scarfs. how many different outfits can Mary put together?

Answers

Answer:

30

Step-by-step explanation:

You simply just mutliply them

3*5*2=30

yo please help i’ll give u a brainliest

Answers

Answer:

4

Step-by-step explanation:

1st: do 2x3=6 so if 1 6in scoop makes one pitcher of tea then you could make about 4 pitchers of tea because there are the volume of the pitcher of tea mix is 24in so 24/6=4

PLEASE HELP EASY MATH!!!!

Answers

The answer is D.
This is because A=b•h which is A=8•5 A=40
Also P=b+b+h+h which is P=8+8+5+5 P=26

This recipe makes 20 cupcakes. Deepak only wants to make 15 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 10 ounces butter 12 ounces sugar 8 ounces flour 4 eggs

Answers

Answer:

9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs

Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.

12 * 4/5 = 9.6 ounces

10 * 4/5 = 8 ounces

15 * 4/5 =  12 ounces

5 * 4/5 = 4 eggs

find the value of x:)

Answers

Answer:

180 - 58 - 42 = x : sum of angles in a triangle add to 180

80 = x

It’s a right triangle. So you can obvi see that the angle is a 90 degree angle.

Determine the difference quotient for f(x)=−6x2−x+4

Answers

Answer:

Here 's the working for the questions

Step-by-step explanation:

Mark brainliest pls

The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 19 members, how many ways could the officers be chosen?

Answers

Answer:

Officers can be chosen in 5,814 different ways.

Step-by-step explanation:

Given that the bowling team at Lincoln High School must choose a president, vice president, and secretary, to determine, if the team has 19 members, in how many ways could the officers be chosen, the following calculation must be performed:

19 x 18 x 17 = X

342 x 17 = X

5.814 = X

Therefore, officers can be chosen in 5,814 different ways.

a 550 washing machine is discontinued 15% how much is saved

Answers

$82.50 is saved !! :)

Estimate the line of best fit using two points on the line.
(5, 60)
(3, 44)
O A. y= 5x + 20
O B. y = -5x + 16
O C. y= -8x + 16
D. y = 8x+ 20

Answers

The estimated equation of line is y = 8x+ 20

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Two points on the line (5, 60), (3, 44)

[tex]y- y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y- 60 = \frac{60-44}{5-3} (x-5)[/tex]

[tex]y- 60 = \frac{16}{2} (x-5)[/tex]

[tex]y = 8 (x-5)+ 60[/tex]

[tex]y = 8x+ 20[/tex]

Hence, the estimated equation of line is y = 8x+ 20

Learn more about equation of line

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Please help it’s geometry will mark brainliest!

Answers

Answer:

its 216

Step-by-step explanation:

when it's one the edge the arc is double the angle

The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit

Answers

Answer:

452.16 ft²

Step-by-step explanation:

Area = πr² = π(12)² = 144π = 452.16 ft²

Need help with school

Answers

Answer:

This is a test, please refer to the Academic Integrity and Honor Code

hello please help i’ll give brainliest

Answers

Answer:

landslide

Step-by-step explanation:

MARK AS BRAINLEST!!!

Answer:

earthquake okkkkkkkkkkkkk

Please help me this is my last question

Answers

Answer:

x=-22

Step-by-step explanation:

Someone help me pls

Answers

the answer is A

5^-8 × 5^4= 5^-8+4

= 5^-4

= 1/5^4

Graph the points (0, 6) and (-8, 0). Which of the following points would create a right triangle?
A (-6,8)
B(-8,6)
C(8, -6)
D(6,-8)​

Answers

Answer:

D, I think. Screenshot attached with the points.

Step-by-step explanation:

We have given two points (0, 6) and (-8, 0). The third point (8, -6) will make a complete right-angle triangle.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have given two points  (0, 6) and (-8, 0). we want to find Which of the following points would create a right triangle.

We have mentioned the points on the graph that represent a right-angle triangle. we know that the point (8, -6) will make a complete right-angle triangle.

Learn more about a right angle;

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hey! i hope your day been good so far ! can anyone help me :)?!

Answers

Answer:

Its 7/ 8

dive the 10 1/2 by the 3/4

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

3/4 / 10 1/2 = 1/14

3/4 * 14 = 10 1/2

Need a quick response help me out

Answers

Answer:

-5 1/4

Step-by-step explanation:

-4 1/2 -3/4

= -4 2/4 -3/4

= -4 5/4

= -5 1/4

Answer:

-5 1/4

Step-by-step explanation:

99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove

Answers

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

PLS HELPPPP MEEEE I NEED HELP ASAPPP WITH THIS QUESTION

Answers

Answer: ratio 2/1 percent 5%

Step-by-step explanation:

you are welcome

Answer:

a. 23:12

b. 5.6%

Step-by-step explanation:

What is the GCF of 18 and 54?

Answers

Answer:

its 18 because 18 goes into 18 and 54. goes in 54 3 times

Step-by-step explanation:

Regina has 16 pencils. James has 3 times as many pencils as Regina.
What are two ways to find the number of pencils James has?
A. 16 + 3 and 16 X 3
B. 16 + 16 + 16 and 16 x3
O C. 3+3+3 and 48 X3
D. 16 + 3 and 3 X 48
E. 3+3+3 + 16 and 16 X 3

Answers

Answer:

B

Step-by-step explanation:

PLZZ HELP
2/3 divided by 5

Answers

Answer:

2/15

Step-by-step explanation:

2/3 divided 5 is really just:

2/3*1/5

that is just 2/15!

Answer:

2/15

Step-by-step explanation:

(Keep Change Flip) KCF

2/3  / 5 =

2/3 *1/5 = 2/15

When dividing you do the opposite which is multiplication.

he total cost of a vase of spring flowers at a flower shop depends on the number of flowers ordered. The vase costs $3, and each flower costs $2.50. Which equation can be used to findc,the total cost of the vase withfflowers?

Answers

Answer:

3+2.50x

Step-by-step explanation

x represents how many flowers you bought which you mulitply with 2.50 since each flower is 2.50 dollars. Then you add 3 since the cost of the vase is 3 dollars.

I NEED HELP WITH THIS RIGHT NOW!!

Kurt is training to run in a race. He recorded the distances and times of his trainings runs last week. On which day was the ratio of time to distance the greatest?

Answers

I think it’s D sorry if im wrong

Answer:

c

Step-by-step explanation:

just derived everyone

1121 help44445555 ty

Answers

Answer:

B

Step-by-step explanation:

Find the percent error in this situation:
Estimated value: 56
Actual value: 43
23.2%
0.302%
30.2%
0.232%

Answers

Answer:

30.2%

Step-by-step explanation:

Use the percent error formula:

| (experimental - actual) / actual | x 100

Plug in the experimental and actual values:

| (experimental - actual) / actual | x 100

| (56 - 43 ) / 43 | x 100

(13 / 43) x 100

= 30.2

So, the percent error is 30.2%

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