Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.​

Answers

Answer 1

Answer:

a = 3

b = -6

-b/2a = 1

The vertex is (1, 10)


Related Questions

Select the correct answer. What is the solution to the equation?
square root of x-3 + 1 = 6
64
46
28
22​

Answers

Answer:

Correct answer is 28

Step-by-step explanation:

The solution to the equation is 8.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x - 3 + 1 = 6

Solve for x.

x - 2 = 6

x = 6 + 2

x = 8

We can cross-check.

x - 3 + 1 = 6

8 - 3 + 1 = 6

9 - 3 = 6

6 = 6

True

Thus,

The solution is 8

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At Kira's school, 5/9 of the 360 students bring their lunch. The other students buy lunch in the cafeteria.
How many more students bring lunch from home than buy lunch?

A. 280 more students
B. 150 more students
C. 80 more students
D. 160 more students

Answers

Answer:

Options are incorrect

Step-by-step explanation:

Answer:

ansewr mine

The chart below shows how many times the students purchased lunch in the cafeteria. How many more days more did Amber purchase her lunch than Dana?

A. 12

B. 14

C. 15

D. 19

Step-by-step explanation:

Which of the following is the constant in the equation below:

16x + 42 = 78

16x

16

42

78

Answers

A constant is the number value that doesn’t change, therefore 42 is the constant in this equation.

Can someone help me with math?

Answers

Answer:

The second step because she distributed within the parentheses without adding the negative sign to 13

Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.

A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.

What is the approximate distance across the lake, to the nearest tenth of a kilometer?
5.7 km
6.3 km
11.4 km
16.0 km

Answers

Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]9^{2} = 7^{2} + d^{2}[/tex]

[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

Answer:

A

Step-by-step explanation:

A tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.07kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. Answer the following questions.

a. How much salt is in the tank after t minutes?
b. How much salt is in the tank after 4 hours?

Answers

Answer:

51.877 kg

Step-by-step explanation:

a

See attachment for calculations

b

The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have

t = 4 hours = 4 * 60 minutes = 240 minutes

y = 160/3 (1 - e^((-3 * 240)/200))

y = 160/3 (1 - e^(-720/200))

y = 160/3 (1 - 0.0273)

y = 160/3 (0.9727)

y = 51.877 kg

Therefore, the amount of salt in the tank after 4 hours is 51.877 kg

What is the exact circumference of the circle?

27 cm
47 cm
8 cm
167 cm

Answers

Answer:

27

Step-by-step explanation:

27 is the wright answerhope it helps you

the rate of currency exchange published in the newspaper on a certain day showed 12 pound could be exchange for 96 dollars. how many dollars could be obtained for 102 pounds.​

Answers

Answer:

$816

Step-by-step explanation:

ratio would be:

12:96

or:

1:8

so one pound=8 dollars

102x8=816

HELPP!!! What is the measure of y? 4 9

Answers

Answer:

6

Step-by-step explanation:

4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]

The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.

x² = 4² + y²...(i)

z² = 9² + y²...(ii)

(4 + 9)² = x² + z²

13² = x² + z²...(iii)

Now, Subtracting eqn(ii) from eqn(iii) we have.

  169 = x² + z²

(-)  81 = -(y)² + z²

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

88 = x² + y²...(iv).

Now adding eqn(i) and eqn(iv) we have,

2x² = 104.

x² = 52.

Putting this value in eqn(i) we have,

52 = 16 + y².

y² = 36.

y = 6.

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(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:

Answers

Answer:

length = 91 m

Step-by-step explanation:

area = length * width

so,

7371 = length * 81

cancel out 81 by dividing on both sides

91 = length

For the past three years, Nigel has grown 1 1/5 inches each year. How many total inches has he grown in the past three years?

Answers

Answer: 3.6? I believe is the right answer.

:D

Step-by-step explanation: 1 1/5 times 3 is how I got 3.6

Answer:

3 3/5

Step-by-step explanation:

Nigel would have grown 3 3/5 inches in the past 3 years

( 6/5 x 3/1 )

( =18/5 )

and then you would be simplifying 18/5

and that's how you would get your answer 3 3/5

.......Can I please be marked Brainliest

please thank you:)

If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?

A) 60%
B) 65%
C) 70%
D) 75%

Answers

Answer:

60%

Step-by-step explanation:

3/5 likely, because there are five hours when the repairman could show up.

Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%

Answer:

for da other guy to get brainliest

Step-by-step explanation:

why is 6 divided by zero, zero and zero divided by six is undefined?​

Answers

Answer:

See below.

Step-by-step explanation:

The reason a number divided by zero is undefined is as follows.

Every operation, addition, multiplication, subtraction, and division, is carried out between two numbers and must have a single correct answer.

For example 1 + 5 = 6. The only correct answer to 1 + 5 is 6. There is no other correct answer to that addition. The same is true of any multiplication, subtraction, or division. Another example: 8/2 = 4. No other correct solution exists to the division of 8 by 2 other than 4.

Division is defined in terms of multiplication.

The definition of dividing a number by another number is:

a divided by b equals c if and only if b * c = a.

For example, 10/5 = 2 if and only if 5 * 2 = 10. 5 * 2 does equal 10, so it is correct that 10/5 = 2.

Now let's try dividing by zero and see the problem that arises.

Let's try to divide 8 by 0.

8/0 =

Since we are not used to dividing by zero, we don't really know what the answer should be, but we can try different answers.

Let's say 8/0 = 8

Then by the definition of multiplication, we need 0 * 8 to equal 8, but we know that 0 * 8 = 0, so the answer of 8/0 cannot be 8. Let's try a different answer.

8/0 = 0, then we need 0 * 0 to equal 8, but 0 * 0 = 0, not 8, so 0 also does not work.

We can generalize and try

8/0 = k, but then that requires 0 * k to equal 8. Since multiplication by 0 always has a result of 0, there is no number k that will multiply by 0 and give 8. This means that a number divided by 0 cannot give a result.

Now let's try one more thing.

What about 0 divided by 0.

Let 0/0 = 1. Then 0 * 1 = 0. It seems to work, but here there is a different problem. We could also say that 0/0 = 2 since 0 * 2 = 0; 0/0 = 3 since 0 * 3 = 0, etc. and now 0/0 can equal every number. The result of a division must be a unique answer, not all numbers.

When we try to divide a non-zero number by 0, no number works in the definition of division, so dividing a non-zero number by 0 is undefined. When we try to divide 0 by 0, every number works. Since there is no unique solution, 0/0 is also undefined. Therefore, division by zero is undefined.

Now the last part of your question.

What about 0 divided by 6?

0/6 = 0 if and only if 6 * 0 = 0. Well, 0 * 6 does equal zero. There is no other number that you can use as the quotient of 0/6 and have the corresponding multiplication equal zero, so 0/6 is indeed 0, and that operation is defined.

0 divided by any number other than zero is a defined division and equals 0.

Conclusion:

(any number)/0 is undefined

0/(any number other than zero) is defined and equals zero

please i really need help!!! thnakss

Answers

Answer:

The first answer will be 96 batches and the second one will be 0.90 cents per batch

Step-by-step explanation:

Hope this Helped

what must be added to each term of the ratio 3:5, so that it becomes 4:5​

Answers

Answer:

5 must be added to both the terms to get the ratio 4:5.

Step-by-step explanation:

(3+x)/(5+x)=4/5

Therefore,

15+5x=20+4x

=5x-4x=20-15

=x=5

I hope it's helpful!

Answer:

3+y/5+y=4/5

let y be the no.to be added

5(3+y)=4(5+y)

15+5y=20+4y

-5= -y

y=5

What is 859 divided by 3? use this strategy get the answer.

Answers

Answer:

286.33

Step-by-step explanation:

What is the value of x in the figure at the right?

50
62
68
112

Answers

Step-by-step explanation:

step 1. 50° + 62° = x by means of corresponding angles.

step 2. x = 112°

Evaluate. Write your answer as a fraction in simplest form. 3/4 to the 3rd power

Answers

Answer:

27/64

Step-by-step explanation:

graph the linear equation y= -4/9x -4​

Answers

Answer:

I used Desmos to graph it

U=x/k solve for x HELP THIS IS DUE IN 30 MIN

Answers

Answer:

first you multiply both sides by k. that makes kU equals x

If a dozen eggs cost $3.84 calculate the cost of 30 eggs

Answers

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

$9.60 ............................

WILL GIVE BRAINLIEST

A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)

Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys?  Show or Explain or work.

Answers

Answer:

Step-by-step explanation:

look for the stem and leafs that are less than 10 and add them all up

5+7+9

Evaluate (–6)^2 – 7^2.

A) 85

B) 169

C) –85

D) –13

Answers

C would be the correct answer

18=a ÷ 12


Find the introvert

Answers

Answer:

a = 216

Step-by-step explanation:

EFG, e = 9.8 cm, f = 3 cm and ∠G=167°. Find the length of g, to the nearest 10th of a centimeter.

Answers

Answer:

Step-by-step explanation:

Answer:12.7

Step-by-step explanation:

A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|

Answers

Answer:

if anything, I would say C. I can't see the image too clearly, but I can see what you typed out

Step-by-step explanation:

Estimate the sum using rounding numbers 67.07+4.86

Answers

Answer:

I estimated the answer would be 72 (actual answer: 71.93)

Step-by-step explanation:

67.07 rounded to the nearest whole number is 67

4.86 rounded to the nearest whole number is 5

67 + 5 = 72

hope this helped!

P-250 ft
Find the dimensions of the rectangle
The perimeter is given.
W
3w- 15

Answers

Answer:

A = L × W A = L × W A=L×W.

A = L × W A = L × W A=L×W.

P = 2 L + 2 W P = 2L + 2W P=2L+2W.

Y varies inversely as the square of x. If y=10 and x=4, find x if y=8

Answers

Answer:

gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa

What is the answer to 3x(2 1/5)=

Answers

Answer:

(6 3/5) * (x)

Step-by-step explanation:

3x(2 1/5)= (6 3/5) * (x)

Answer:

6 3/5

Step-by-step explanation:

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