5. Which is the vertex of the quadratic function f(x) = 2x² - 4x - 6?
(-1,8)
O (1,8)
O (1,-8)
O(-1,-8)

Answers

Answer 1

The given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8). Thus, the correct option is option C.

A quadratic polynomial function is a function which may be written in the form of ax² + bx + c = 0 where a, b and c are coefficients and x is the variable of the function. The quadratic polynomial function forms a parabola when plotted on the graph.

To find the vertex to the quadratic polynomial function we determine the value of x coordinate by the formula (-b/2a) and substitute the value of x in the polynomial function to get the value of y coordinate.

f(x) = 2x² - 4x - 6.

x coordinate = (-b/2a)

x = (4/2×2)

x = 4/4

x = 1

Now, the value of y coordinate = 2(1)² - 4(1) - 6

y = -8.

Thus, the given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8).

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Related Questions

please help

7/8 times 1 1/2

2 3/4 divided by 2/3

Answers

Answer: 7/8 times 1 1/2 is 21/16 or 1.3125 in decimal

2 3/4 divided by 2/3 is 33/8 or 4.125 in decimal

Kayla started a book club at her school. The number of girls in the book club was one​ more than twice the number of boys. If there are 21 girls in the book club, how many boys are in the club?

Answers

Answer:

10

Step-by-step explanation:

(21-1)/2

If f(x)=12x+4, what is f(2)? If it does not exist,enter DNE.

Answers

Answer:[tex]f(2) =28[/tex]

Step-by-step explanation:

When it says f(2), it means to plug 2 into the x in the function f(x), so therefore:

[tex]12(2)+4\\\\24+4\\\\28[/tex]

I need help its due tmr

Answers

Answer:

1. 27

2. 18

3. 905.400

4. 6.830

Step-by-step explanation:

Any number (ending number/last number) with 1,2,3,4 is rounded down, and any number (ending number/last number) with 5,6,7,8,9 is rounded up.

1. It is closer to 27.

2. it is closer to 18.

3. It is closer to 905.400

4. It is 6.825 which ends in 5 so it is rounded up.

Please help with this. I have to finish it today

Note: can you make it where i can say it Infront of my class?

Answers

Answer:

The coordinates of W,X,Y,Z are W= (3,4) X= (1,4) Y= (2,1) Z= (4,2)

Step-by-step explanation:

When you reflect the coordinates to the other side of the graph, you get these^^^^ coordinates.

. indicate whether each of the following can be determined exactly or must be measured with some degree of uncertainty:

Answers

Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

What is Uncertainty?

The range of potential values between which the genuine value of both the measurement can be found is referred to as uncertainty in this context.

a) A basket's capacity for eggs:

The measurement that is precise and free from uncertainty is the number of counting objects. Consequently, we are able to precisely count the eggs in a basket.

b) The weight of 12 bananas:

Given that no two bananas are the same size and therefore have different masses, it is uncertain to determine the mass of a dozen bananas. This is true for the computation of the mass of any object.

c) The iron block's mass

Because no two pieces of iron in an iron block are the same size, it is difficult to determine the mass of an iron block.

d) The quantity of gasoline required to fully fill a car's gas tank:

Due to the fact that gasoline is indeed a gas molecule and is volatile, it is difficult to calculate how many gallons are required to fill an automobile's gas tank.

e) There is 5 cm in a meter.

By using the relation, we can precisely calculate how many cm there are in 5 meters. Knowing that 1 m = 100 cm.

Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

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WILL GIVE U MORE POINTS BY BRAINLIEST

Answers

Answer:1.75

Step-by-step explanation:

7x+8=3x+15

4x+8=15

4x=7

x=1.75

Answer is 20.25 angle 1

Step by step

Angle 1 and angle 3 are vertical angles, they are congruent /the same/ equal.

Angle 1 = 7x + 8
Angle 3 = 3x + 15



So our equation is

7x + 8 = 3x + 15

Solve for x

Subtract 3x from both sides to combine variables

7x - 3x + 8 = 3x - 3x + 15

4x + 8 = 15

Now subtract 8 from both sides to isolate x

4x + 8 - 8 = 15 - 8

4x = 7

Divide both sides by 4 to solve for x

4/4 x = 7/4

x = 1.75

Now to answer the question

What is the value of angle 1?

Angle 1 is 7x + 8

Substitute 1.75 for x in the equation

(7)(1.75) + 8 = angle 1

20.25 = angle 1

Check your work and do the same for Angle 3

3x + 15

Substitute 1.75 for x

(3)(1.75) + 15 = angle 3

20.25 for angle 3



i need help with this

Answers

no it is not a function, this is a because it does not go over the x or y axis, your welcome :)

describe and illustrate the situation when the minimum of a two variable function can be placed higher than its maximum. what type of extrema is this?

Answers

For the rare case that the outcome of the second derivative matrix examination is inconclusive, higher order derivatives have to be examined.

What do math extrema mean?

Any point in calculus when the value of a function is either the highest (a maximum) or the lowest (a minimum) (a minimum). There are maxima and minima that are both absolute and relative (or local).

Identify every stationary point. The solution set that results from setting the partial first derivatives to zero includes those points.Look at each stationary point's personality. This is done explicitly in the first case by looking at the eigenvalues of the second derivative matrix. The fact that there are quick formulas for this if there are just two variables, is superior.Higher order derivatives must be investigated in the improbable event that the results of the second derivative matrix study are ambiguous. Sadly, no set recipes can be developed in this situation; rather, each function must be considered individually.

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3.)
The elevation of a small submarine changes by-mile after each exploration. After
how many explorations will the submarine's elevation have changed by -1 miles?

Answers

The submarine's elevation would have changed by -3/2 mile after 4 explorations.

What is elevation?An elevation is a view of a three-dimensional shape from the side or the front. "Rise over run" is an easy-to-remember equation for calculating a change in elevation as a decimal, which means the rise (the change in vertical distance) divided by the run (the change in horizontal distance).

So, to find how many explorations will the submarine's elevation has changed by -1 miles:

After each exploration, the submarine's elevation changes by -3/8 mile.To calculate the number of explorations required to change the submarine's elevation by -3/2 mile, divide -3/2 mile by the number of miles the submarine's elevation changes per exploration (that is, -3/8 mile).

Then,

-3/2 miles ÷ -3/8 mile-3/2 ÷ -3/8 mile-3/2 × -3/8 mile24/64

Therefore, the submarine's elevation would have changed by -3/2 mile after 4 explorations.

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The complete question is given below:
The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarine's elevation have changed by -3/2 miles?

The tank for a car holds 19 gallons. the gasoline gauge shows the tank is 2 5 full. how much gas is still in

Answers

The tank of the car that holds 19 gallons and has 2/5 full has still in it 7.5 gallons

Information about the problem:

Tank capacity= 19 gallonsGasoline gauge= 2/5 fullGallons available=?

To solve this problem, we have to state the equation using the information of the problem:

Gallons available= tank capacity* gasoline gauge

Gallons available= 19 gallons * 2/5

Gallons available= 38 gallons/5

Gallons available= 7.5 gallons

What are algebraic operations?

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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What proportion of sample size n =10 will have a mean salary greater than $60,000

Answers

Answer:

n/10 x 10/60,000

Step-by-step explanation:

I think it's right please don't report

Answer:

N/10 x 10/60,000

Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation.

Answers

The inequality that represents this situation is 57x <= 250

How to select the inequality that represents this situation?

The given parameters are

Minimum savings = $250

Monthly savings = $57

Let the number of months be x

So, we have the following inequality

Monthly savings * x <= Minimum savings

Substitute the known values in the above equation

57 * x <= 250

Evaluate the product

57x <= 250

Hence, the inequality that represents this situation is 57x <= 250

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SOMEONE HELP ME BEFORE I PASS OUT

1. |X|≤8

2. |X|≤27

Answers

Answer: 1. [-8, 8]

2. [-27, 27]

Step-by-step explanation:

1. |X|≤8

x≤8 or x>=-8

-8<=x<=8 ==> [-8, 8]

2. |X|≤27

x≤27 or x>=-27

-27<=x<=27 ==> [-27, 27]

Examine the diagram.
XX
15
3/7
26
4 8
Angle 4 and angle
angles.
are alternate interior

Answers

Answer:

  angle 5

Step-by-step explanation:

Given transversal x crossing lines y and z and angles numbered 1 to 8, you want the number of the angle that is an alternate interior angle to angle 4.

Alternate interior angles

In this context, "alternate" mean the angles are on opposite sides of the transversal. "Interior" means the angles are between the lines the transversal crosses.

The term "alternate interior angles" is used to refer to angles that have their vertices at the intersection points where the two lines cross the transversal. (It excludes angles that have the same vertex, or do not share a side.)

The angle that is an alternate interior angle relative to angle 4 is angle 5.

(7⁰)^x=1 What are the possible values for X?​

Answers

Answer:

The domain is [-∞,∞]

Step-by-step explanation:

[tex]7^0 = 1\\1^x = 1, solve\ for\ x.\\[/tex]

1 raised to any and every power will always equal 1.

Step-by-step explanation:

Given :[tex](1)^{x} =1[/tex]

Given that the base of the exponent is 1 now you should apply the rule that any 1 to the power any number is 1 and that any number to the power of 0 is 1 so that makes us comer to a conclusion that x can be any positive Integer.

therefore the answer is

X∈(+)z

z representing the integer in symbol

hope this helps..!!!!!!

$72 is 4.5% of what amount

Answers

$72 is 4.5% of 6.25 amount. 6.25 Percentage of  72 is 4.5.

By considering the given information

[tex]72\times x=4.5\\x=\frac{4.5}{72}\times 100\\ x=6.25[/tex]

A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it. percent, which is a relative value used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

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$72 is 4.5% = $3.24

Solution :

The percentage is a rate or proportion per hundred,

The percentage is also used more generally to mean any proportion, as in Studies have shown that a large percentage of people love cute animals.

A percent is one one-hundredth (1/100) of something. The percentage refers to the rate or proportion of that one hundred. Usually, you will see the word percentage used in math equations or statistics or when someone is measuring the increase and decrease in rates

$72 is 4.5% =?

$72  is 10% = $7.2

$72 is 5% = $7.2 /2 = $3.6

$72 is 1/2%= $72 * .5/100 = $.72*.5 = $ 0.36

$72 is 4.5% = 5% - .5% = $3.6- $.36 = $3.24

$72 is 4.5% = $3.24

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Bashir was out at a restaurant for dinner when the bill came. His dinner came to $32.
After adding in a tip, before tax, he paid $39.36. Find the percent tip.

Answers

Answer:

23%

Step-by-step explanation:

39.36-32=7.36

7.36/32=.23

23 percent

The cost c of a shirt is less than $27. 50.

Answers

okay and? like who asked bro

Write an algebraic expression for the statement: the income earned at $9.25 per hour for x hours

Answers

Answer:

9.25x

Step-by-step explanation:

URGENT 1000 POINTS. BRAINLIEST GIVER...
(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11 in scientific notation. explain step by step!

Answers

Answer:

see image.

Step-by-step explanation:

Basically, what's happening here is you are adjusting one of the terms so that they both have the same exponent. Then you can factor out that 10^11 term and just add the two remaining terms.

see image.

math 50 points please dont lie

Answers

Answer:

D. 1,740

Step-by-step explanation:

10 to the 3rd power = 10*10*10=1000

1.74*1000=1740

Answer:

d) 1,740

Explanation:

Given following:

[tex]\rightarrow \sf 1.74 \times 10^3[/tex]

expand

[tex]\rightarrow \sf 1.74 \times 10 \times 10 \times 10[/tex]

multiply

[tex]\rightarrow \sf 1.74 \times 1000[/tex]

simplify by moving the decimal point 3 units to the right

[tex]\rightarrow \sf 1740.0[/tex]

Alf earns £9.00 per hour and works 33 hours each week. He spends a total of £24.40 each week travelling to and from work. Next month he is getting a 4% pay rise but his travel costs are increasing by 15%.

How much extra will he have each week?

Answers

Answer:

£8.22

Step-by-step explanation:

9x33=£297

297-24.40=£272.60

297×4%=£11.88

297+11.88=£308.88

24.40×15%=£3.66

24.40+3.66=£28.06

308.88-28.06=280.82

280.82-272.60=£8.22

he second of a triangle is 6 more than the first angle. The third angle is 12 less than the first angle. Find all three angles if the sum of their angles is equal to 180°

Answers

Answer:

Let first angle be x

x+x+6+x-12=180°

3x-6=180°

3x=186

x=63°

First angle=63°

Second Angle=69°

Third angle=51°

Hope it helps you

What is 80% of 63? Do not round your answer.

Answers

Answer:

What is 80% of 63?

50.4 is the right answer

67 si the percentage

state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive, and converse are true. (a) if 3 is a prime number then 5 is an even number. (b) if 7 < 5, then 5 < 3.

Answers

The inverse is the false and the Converse is the true.

According to the statement

We have to find that the contra positive, and converse are true.

So, For this purpose, we know that the

A conditional statement may be a statement which will be written within the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is named the hypothesis and Q is termed the conclusion.

From the given information:

if 3 could be a prime quantity then 5 is a fair number.

Then

a) Inverse: If 3 isn't a primary number, then 5 isn't a fair number. (True)

Contra positive: If five isn't an excellent number, then 3 isn't a main number. (False)

Converse: If 5 is a good number, then 3 may be a prime quantity. (True).

And

b) if 7 < 5, then 5 < 3

This statement is that the false because the primary statement is that the false.

So, The inverse is the false and the Converse is the true.

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please help me I really need it:/

Answers

Answer:

this would be c bro trust me I passed this years ago dw it used to confuse me aswell

Step-by-step explanation:

yep

Someone please help me on #3 and 4 they are different problems. Please help me how to solve this step by step. (Sorry about the bad picture.)

Answers

3.
Jack: six and a quarter = 6 1/4
Sister: three and a half = 3 1/2

6 + 3 = 9 + 1/2 = 9.5 + 1/4 = 9.75 cakes altogether


4.
She uses 10x the amount of flour, so will also use 10x the amount of eggs.
10 x 8 = 80 eggs

can someone please help me or imma get an F! :')

Answers

Answer:

17,84,9,34,71,35,18

Step-by-step explanation:

Simplify (14.1x10^5) - (2.9x10^5). Write your answer in scientific notation.

Answers

Answer: 1.12x10⁶

Step-by-step explanation:

(14.1x10⁵)-(2.9x10⁵)=

(10⁵)(14.1-2,9)=

(11.2)(10⁵)=

(1.12)(10)(10⁵)=

(1.12)(10⁶)=

1.12x10⁶

Answer:

1.12x10⁶

Step-by-step explanation:

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