what's the vertex and axis of symmetry of y=2x^2+8x+3 ?

Answers

Answer 1

well, the squared varaible is the "x", that means is a vertical parabola, so the axis of symmetry, will be x = "the x-coordinate of the vertex", whatever that coordinate happens to be, so let's check using the coefficients.

[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llccll} y = &{{ 2}}x^2&{{ +8}}x&{{ +3}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( -\cfrac{8}{2(2)}~~,~~ 3-\cfrac{8^2}{4(2)} \right)[/tex]

Related Questions

If mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve?

Answers

Given the question:

Mountain Mark and Big Lake Bob spend their time carving fishing lures and duck decoys. The table below shows their production possibility schedule, which describes various combinations of fishing lures and duck decoys they each can carve efficiently in a week.

[tex]\begin{center} \begin{tabular} {|c {2.3cm}|c {2.3cm}|c {2.3cm}|c {2.3cm}|} \multicolumn {4} {|c|} {Production Possibility Schedules}\\[1ex] \multicolumn {2} {|c|} {Mountain Mark}&\multicolumn {2} {|c|} {Big Lake Bob}\\[1ex] Fishing Lures&Duck Decoys&Fishing Lures&Duck Decoys\\[1ex] 40&0&100&0\\ 32&10&80&6\\ 24&20&60&12\\ 16&30&40&18\\ 8&40&20&24\\ 0&50&0&30 \end{tabular} \end{center}[/tex]

If mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve?

From the table it can be seen that in a full week, if mountain mack is carving fishing lures only, he can carve 40 fishing lures. This means that in half of a week, he can carve 20 fishing lures.

Similarly, from the table it can be seen that in a full week, if mountain mack is carving duck decoys only, he can carve 50 duck decoys. This means that in half of a week, he can carve 25 duck decoys.

Therefore, if mountain mack splits his week evenly between carving fishing lures and duck decoys, the maximum number of fishing lures and duck decoys he could carve are 20 fishing lures and 25 duck decoys.

Final answer:

To find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to divide his available time equally between the two activities. The maximum number of each item he can carve depends on the total hours available, the time it takes to carve a fishing lure, and the time it takes to carve a duck decoy.

Explanation:

To find the maximum number of fishing lures and duck decoys that Mountain Mack could carve, we need to split his week evenly between the two activities. Let's say he has a total of 'x' hours available in a week. Since he'll be dividing his time equally, he'll spend 'x/2' hours carving fishing lures and 'x/2' hours carving duck decoys.

To put this in terms of fishing lures and duck decoys, we need to know the time it takes to carve each item. Let's say it takes 'y' hours to carve a fishing lure and 'z' hours to carve a duck decoy. The maximum number of fishing lures Mountain Mack can carve would be 'x/2y' and the maximum number of duck decoys he can carve would be 'x/2z'.

So, to find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to know the total number of hours available in a week ('x'), the time it takes to carve a fishing lure ('y'), and the time it takes to carve a duck decoy ('z').

A flower bed is 5 yards long and 4 yards wide. what is its area in square feet?

Answers

5 yards = 15 feet
4 yards = 12 feet

15*12 = 180 ft^2

i think

1 yard = 3 feet

5 yards = 15 feet
4 yards = 12 feet

Area of rectangle = length × width

Area = 15 × 12

Area = 180 sq. ft.

Whats 526 divided by 8

Answers

65.75 is the answer.

65.75

526÷8= 65.75
8 goes into 50 - 6 times 6 * 8 is 48 so 52-48 is 46 8 goes into 46 V * 5 * 8 is 4046 - 40 is 6 then you have to put it .0 which makes it 60 so it goes in a 67 * 7 * 8 is 5660 - 56 is for bring down a 08 goes in a 45 times and that's how you get your answer

the states C&D spend a total of 55.6 million dollars for tourism the state C spends 3.2 million dollars more than State D find the amount that each state spends on tourism.

Answers

Alright, let's break this down.
State D blew 55.6 million bucks on tourism.
State C spends an unknown amount, we just know it's 3.2 million MORE than state D.
Well, since we know State D spent 55.6 million on tourism, just add 3.2 million to it to find out how much State C spent.
55.6+3.2=58.8.

This means the state's spent:
State D: 55.6
State C: 58.8

~Hope this helps!

how to find domain and range in a graph and will give the bainliest to whoever explains to me on how to do it.

Answers

To find the domain of a graph observe the intervals of x that the line touches, and make an inequality of it. Same for the range but it's for the intervals of y. If the graph goes forever, then include "infinity" on the inequality

Get around cab company charges 2.50 upon entry and $2 per mile. Wrote the function that represents the cost of C of a ride of m miles

Answers

C=2.50+2m
This is your standard y=mx+b equation. 2.50 is your y intercept or starting point. 2m is the slop of the line. 2 on the x axis for every 1 on the y axis.

The 128 employees of a company volunteer 12,480 hours in 26 weeks. On average, how many hours do they all volunteer per weeks? On average, how many hours does each employee volunteer per week?

Answers

The company's employees volunteer an average of 480 hours per week in total, and each employee volunteers an average of 3.75 hours per week.

To calculate the average number of hours the employees of a company volunteer per week, you would divide the total hours volunteered by the number of weeks. So, the calculation for the average weekly volunteer hours for the entire company is 12,480 hours divided by 26 weeks, which is 480 hours per week.

To find out the average number of hours each employee volunteers per week, divide the weekly volunteer hours by the number of employees. Using the previous calculation of 480 hours per week for the entire company and dividing by 128 employees, you get an average of 3.75 hours per employee per week.

1.33 equals .002 divided by 6A. Solve for A?

Answers

Hey Tyler

1.33 = 0.002/6a
Cross multiply
1.33(6a) = 0.002
7.98a = 0.002
Divide both sides by 7.98
7.98a/7.98 = 0.002/7.98
a = 0.000251

I hope I helped!

A recipe that yields 12 cups of soup calls for 24 oz of beef broth. How many ounces of beef broth do you need to make 18 cups of soup?

Answers

The ratio is 1:2. If "1" is 18, we need to multiply 18 and 2, or 36.

Hope this helps!

How much heavier is a 9 1/8 pound box than a 2 5/6 pound box

Answers

9 1/8 - 2 5/6 = 6 7/24

Which statement include two quantities in the real world that are additive inverses

Answers

Right answers: A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.

Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.

The gasoline gauge on a van initially read 1/3 full. When 10gallons were added to the tank, the gauge read 3/4 full. How many more gallons are needed to fill the tank?

Answers

so it went from 1/3 full to 3/4 full when 10 gallons were put in, so.... what fraction is 10 gallons anyway? let's check the difference.

if say, when full is "x" gallons,

[tex]\bf \cfrac{3}{4}x-\cfrac{1}{3}x=10\implies \cfrac{9x-4x}{12}=10\implies \cfrac{5x}{12}=10\implies 5x=120 \\\\\\ x=\cfrac{120}{5}\implies x=24[/tex]

using the Pythagorean theogram find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long

Answers

Pythagorean Theorem is A^2 + B^2 =C^2. So, to find a leg instead of the hypotenuse you switch it around to C^2 - B^2=A^2. 10^2 - 8^2= the missing leg. 100- 64=C^2. 100-64=36. So then, you just square root the 36 which is 6. So 6 is the length of the other leg. And, if you want to you can take original Pythagorean Theorem and plug in all the numbers to double check.

The length of a leg of a right triangle is 6 feet.

Used the concept of Pythagoras's theorem states,

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that,

In a triangle, the other leg is 8 feet long and the hypotenuse is 10 feet long.

Let us assume that,

the length of a leg of a right triangle = x

Hence by using Pythagoras's theorem,

10² = 8² + x²

100 = 64 + x²

100 - 64 = x²

36 = x²

x² =36

x = √36

x = 6

Therefore, the length of the leg is 6 feet.

To learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ5

rename the number.. 24 ten thousands

Answers

24 ten thousands is 24,000

Felicia has a box of 16 cookies. if she divides all of the cookies up evenly among the 7 children she watches at the day care, how many cookies will each child get?

Answers

Each child will get 2 cookies,with two leftover. Technically 2.28, but rounding to a whole number is 2, because you wouldnt give a child .28 of a cookie lol

it is going to be 2 1/3

8 + 5y = 38 how to solve and check

Answers

Subtract 8 from both sides
5y=30

Divide both sides by 5
y=6

Check by plugging in to original equation
8+5(6)=38
8+30=38
True

Final answer: y=6

which is greater 9.087 or 9.807

Answers

9.807 is Greater Than 9.087

9.807 is greater vs 9.087 is smaller

A trip from new york to seattle is 2852.1 miles. A family wants to make the drive in ten days, driving the same number of miles each day. About how many miles will they drive each day? Round your answer to the nearest tenth of a mile.

Answers

2852.1 divided by 10=285.21
They will drive 285.2 miles every day

Answer:

285.2 miles per day.

Step-by-step explanation:

We have been given that a trip from New York to Seattle is 2852.1 miles. A family wants to make the drive in ten days.

To find the distance traveled by the family each day, we will divide total distance by 10 as:

[tex]\text{Distance traveled by the family each day}=\frac{2852.1\text{ miles}}{\text{ 10 days}}[/tex]

[tex]\text{Distance traveled by the family each day}=\frac{285.21\text{ miles}}{\text{day}}[/tex]

[tex]\text{Distance traveled by the family each day}\approx \frac{285.2\text{ miles}}{\text{day}}[/tex]

Therefore, the family will drive 285.2 miles per day.

Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then finds the absolute value of his answer. What final value is greater? EXPLAIN

Answers

The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.

Absolute value of -5.3 is 5.3.

The opposite of 5.3 is -5.3

Abslote value of this is 5.3

So the 2 values are the same.

Why did the scientist make an exact duplicate of himself

Answers

This is a math riddle in which you can only discover the answer by cracking the given equations and each answer has the corresponding letters. Nonetheless, the solution to this is the scientist created an exact duplicate of himself because HE WAS JUST CLONING AROUND

Answer:

he was just cloning around!

Step-by-step explanation:

it's a riddle :)

what is2.1e-10 in standard form

Answers

The number is basically saying 2.1*10^(-10)

The base is 2.1 and the exponent is -10. The exponent of -10 tells us to move the decimal point exactly ten spaces to the left and we will end up with the final answer 0.00000000021

Note: there are 9 zeros between the decimal point and the '2'

Casey has 8
1
2
yards of fabric. She uses 2
1
2
yards to make pillows and 3 yards to make curtains. How much fabric is remaining?

Answers

You have 812 total. 812 - 212= 600.
Then you have 600 yards and subtract 3 which would equal 597 yards of fabric.

lesson 6 divide whole numbers

Answers

Is there any photo? I need one to solve the problem you need help with.

During a 10-day period, the balance of Martas chexking account dropped $290. Write a division expression ro represent the change. Then determine the average daily change in account balance during that 10-day period

Answers

i did x - 10 =290
+10 +10
-------------
x = 300 so they took $1.00 a day

The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $338.00. What was it worth a year ago?

Answers

338 x 0.30 = 101.4

338 - 101.4 = $236.60

Evaluate n + 11 for n = 3.

A: 331
B: 33
C: 14
D: 8

Answers

the answer is 14. if n equals 3 and you use the equation instead of n. 3+11 that would equal 14
C is the answer

the answer is 14, or C.

need work?:
n + 11

substitute in n.

3 + 11
14

Hope this helps, have a great day! :D

If it costs 9.50 to buy a movie ticket what is the most number of tickets someone can buy for 40.00 and how much money is left over

Answers

4, and two dollars are left.

Four and two dollars

what is the length of each leg in the right triangle shown below

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is 859 divided by 3?

Answers

859/3 = 286 1/3

Hope this helped!

Help me please I forgot my notes at school

Answers

1/2 x 6 = 3
3 x 8 = 24
24/6 = 4
4 - 1 = 3

3 is your answer

hope this helps

Because of BIDMAS, we know to do the brackets first
so it would be 3 * 8 ÷ 6 - 1
Division and multiplication next, so 4 -1
Lastly, subtraction
3

I am not 100% sure this answer is right but this is system I was taught
Hope it helped

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