Find (a) the axis of symmetry and (b) the vertex of the graph of the function.
Ax) = 4x² - 8x

Answers

Answer 1

Step-by-step explanation:

I am not sure, what is the level of math for you currently.

do you do differentiation and derivatives already ?

because that is how I find "extreme points" and "turning points" of a function right away.

the vertex is the turning point for a quadratic parabola.

that means the point where the slope (= the first derivative) of the function is 0.

and that is also where the axis of symmetry is.

8x - 8 = 0

8x = 8

x = 1 (axis of symmetry).

y = 4×1² - 8×1 = 4 - 8 = -4

so, the vertex is (1, -4)

in case you don't understand derivatives yet, there is a shortcut for this for quadratic equations (fyi - in fact, the generic result of the first derivative) :

y = ax² + bx + c

the x value for the axis is then

x = -b/(2a)

in our case

a = 4

b = -8

x = - -8/8 = 8/8 = 1

and then y is calculated as above.


Related Questions

Help help help help help help help help help

Answers

Answer:

8

Step-by-step explanation:

4+4 =8

Answer:

y = 8

Step-by-step explanation:

To find this simply you have to put values instead of x and y,

For an example,

If the value of x is 1, you have to put 1 instead of x to the equation to find the value of y,

x = 1,

y = x + 4

y = 1 + 4

y =  5

In the same way, you can find the value of y when the value of x is 4.

x = 4,

y = x + 4

y = 4 + 4

y = 8

Hope this helps you.

Let me know if you have any other questions :-)

Evaluate these expressions if x = 8. Substitute the number for the variable and solve. Follow the order of operations. 7 + x, 12 - x, x + 3, 32/x​

Answers

Answer:

15, 4, 11, 4

Step-by-step explanation:

x=8

so 7+x, 7+8= 15

12-8 = 4

x+3 , 8+3=11

32/8 = 4

can you please help out my daughter on this...​

Answers

Answer:

d

Step-by-step explanation:

I’m like 80% sure that the answer is c.

10) Bernice recived the followine scores
on 5 Science test : 96, 7, 82, 96
and 89. Which of the following statements
is true
a) The mean and median of the set of
Scores are the same t to sonho
b) The mode of the set score is 96
of The median of the set score is 82
do the mean of the set is greater
than the median

Answers

The mode of the set score is 96

The correct answer is b) The mode of the set score is 96.

What is mean, median and mode?

The "mean" is the "average" of the set of values.

The "median" is the "middle" value in the list of numbers.

The "mode" is the value that occurs most often.

Now the given scores on 5 Science test are,

96, 7, 82, 96 and 89

So, Sum of all the scores = 96+7+82+96+89= 370

Mean :

Mean = Sum of all the scores / Number of tests

Mean = 370 / 5

Mean = 74

Median :

Median is the middle value after rearrangement

So, rearranging the scores we get,

7, 82,) 89,( 96, 96

Hence the median of the scores is 89

Mode :

Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.

Thus, from the given option, the correct option is b) The mode of the set score is 96

Hence, the correct answer is b) The mode of the set score is 96.

To learn more about mean, median and mode :

https://brainly.com/question/27511579

#SPJ2

Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount. Explain how you would find the amount of money Maria now makes per hour.

Answers

Answer:

9.00 x 150%= $13.50 an hour

Step-by-step explanation:

maria started to make $9.00 and hour

you multiply 9.00 x 150= $13.50

hope this helps!

please help me
this question is too much hard
I think that my brain stopped working

Answers

the answer for your question is 3/10

4/5a - 8 = a + 2 solve for a

Answers

Answer:

a=-50

Step-by-step explanation:

A square field has a side length of 6x10 meters. Which of the following is its area in square meters?

Answers

Answer:

60 square meters

Step-by-step explanation:

area is just its length times its width and both numbers are provided here

6 * 10 is 60

Find the value of X in each case

Answers

x = 49° [ Alternate angles are equal]

4x = 4 × 49 = 196°

- BRAINLIEST answerer

13. A linear cost function is C(x)= 28.37x +5,580, where x represents the number of units produced. What is the cost
of producing one more item if 75 are currently being produced? Round your answer to the nearest cent.
a. $7,736.12
b. $28.37
c. $5,580.00
d. $5,608.37
e. $75.00

Answers

9514 1404 393

Answer:

  b. $28.37

Step-by-step explanation:

In the cost function, x is the number of units. The derivative of the cost function with respect to x will tell the incremental cost of producing one more unit. That derivative is a constant, $28.37 per unit, so the cost of producing one more unit is $28.37 at any production level.

find the inverse of the function F(x)=x-3​

Answers

Answer:

f¹(x) = x - 3

To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.

Rewrite the function f(x) = x + 3

as the equation y = x + 3

Trade x and y.

x = y + 3

Solve for the "new" y.

= y + 3

3 - 3

Subtract 3 from both sides

y = x= 3

The symbol for the inverse is f-¹(x)

f¹(x) = x - 3

Step-by-step explanation:

brainlies me plss

[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]

Help me fast please worth 14

Answers

Answer:

its the last one i think

Step-by-step explanation:

.

Of the eighth graders at the Paxton​ School, 14 played​ basketball, 9 played​ volleyball, 10 played​ soccer, 1 played basketball and soccer​ only, 2 played volleyball and soccer​ only, 1 played basketball and volleyball​ only, and 2 played​ volleyball, basketball, and soccer.
How many played one or more of the three​ sports?

Answers

6 kids played one or more of the 3 sports

√12 - 1 √3=?
is correct the answer is 1/√3
THANK YOU

Answers

Answer:

[tex]\huge\boxed{\text{Is inorrect. Correct answer is:}}\\\boxed{\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\sqrt{12}-1}{\sqrt3}=\dfrac{\sqrt{12}}{\sqrt3}-\dfrac{1}{\sqrt3}=\sqrt{\dfrac{12}{3}}-\dfrac{1}{\sqrt3}=\sqrt4-\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=2-\dfrac{\sqrt3}{3}\\\\=\dfrac{6}{3}-\dfrac{\sqrt3}{3}=\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}\\\\\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}[/tex]

pls help i think its 3600 but i dont know NO EXPLANATION JUST ANSWER

Answers

Answer:

16

Step-by-step explanation:

Set up a proportion

[tex]\frac{3}{45} = \frac{x}{240}[/tex]

Then, cross multiply.

[tex]720 = 45x\\16 = x\\x = 16[/tex]

How do I point 11,7 on the coordinate plane

Answers

Answer: Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps

Step-by-step explanation: Identity the variable range .

Determine the scale of the graph.

Number and label each axis and title of the graph.

Show the positive and negative x-axis and y-axis

First , find the value of x on the x-axis . give x = 11 .

Find the value  of y on the y-axis . given y = 7.

Mark the point x=11 in the positive x - axis

Mark the point y=7 in the positive y - axis,.

After this meet the points by the help of scale and write the co-ordinates.

For more details about graph plot click the link given below.

https://brainly.in/question/10164601

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form .

So, first, we need to plot 11 on the -axis (the line going left to right, horizontal) then plot 7 on the -axis (the vertical line)

So we first go 11 units to the right along the -axis then go up 7 units along the -axis.

Hope this helped.

3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5​

Answers

Answer:

42

Step-by-step explanation:

168 factors into

2•2•2•3•7

two of the 2's make a perfect square

(2•2)•2•3•7

   2²•2•3•7

as none of the product of the remaining factors makes a perfect square

2•3 = 6,  2•7 = 14,  3•7 = 21

we need to multiply the remaining factors together to find another perfect square

   2²•(2•3•7)²

2•3•7 = 42

42(168) = 7056 = 84²

method
Solve the problem.
22) Find the area of the skating rink. Round to the nearest tenth.
36 ft
The rectangle
9 ft
36 X 9

6)9:36
19.36 -762

Answers

Step-by-step explanation:

the rink is a combination of a rectangle and 2 half-circles.

so, we need the areas of the rectangle and a full circle and add these 2 values.

the survivability is a little bit unclear. are the 9 ft the length of the arrow, or the whole width of the area ?

let's assume it is the first.

then the 9ft are the radius of the half-circles, and the width of the ice area is then the diameter of the circles and therefore twice the radius. 2×9 = 18ft.

the rectangle is simple :

Ar = 36×18 = 648 ft²

the formula for the area of a circle is

Ac = pi×r² = pi×9² = pi×81 = 254.4690049...ft²

this is rounded 254.5 ft²

as total area we have

648 + 254.5 = 902.5 ft²

Find the exact value of the expression below
Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees ​

Answers

Answer:

0

Step-by-step explanation:

1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)

1-1

0

for more refer to the image

Pleaseeeeee helpppppppppppp

Answers

I hope this helps you

A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot.

A.
75 feet
B.
87 feet
C.
112 feet
D.
150 feet

Answers

150 so yea hjhhhhhhhhhhhhhhhhhhhh

Answer:

C

Step-by-step explanation:

Pythagorean theorem

A^2 + B^2 = C^2

Solve the following system using the elimination method
y+3x=−2
2y−3x=14

Answers

Answer:

x = -2-y/3

Step-by-step explanation:

i will be asking multiple questions (true or false ) you can just tell me which ones are true and which ones are false

4 is 10 times as much as 0.4 0.05 is 10 times as much as 50 0.3 is 10 times as much as
3 0.09 is 1/10 of 0.9 6 is 1/10 of 0.6 80 is 1/10 of 0.08

Answers

True, False, False, True, False, False

A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now

Answers

Answer:

$15

Step-by-step explanation:

12+3+15

Answer:

Bill Amount: $12

Tip Percent: 25%

Divide By: 1  

= $15

b ÷ 0.52 for b = 6.344

Answers

Answer:

the answer is 12.2

[tex] \frac{b}{0.52} \\ we \: know \: b = 6.344 \\ then \\ \frac{6.344}{0.52} \\ = 12.2[/tex]

Evaluate.



(1/5) −1 ⋅ 4^0



0


1


5


20

Answers

Answer:

-1519 4/5

-1519.8

-7599/5

Step-by-step explanation:

(1/5) - 1 • 4^0
(1/5) - 1 • 1
(1/5) -1
(1/5) -1/1
(1/5) - (5/5)
(1-5/5)
-4/5

Dan earns £299 over the course of a five-day week. How much is that per day?

Answers

Answer:

£59.80

Step-by-step explanation:

299 ÷ 5 = 59.80

59.80 × 5 = 299

£59.8

Step by step

£299/5 = £59.8

The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees

Answers

Answer:

336 employees

Step-by-step explanation:

Hi there!

We're given:

Ratio of men to women ⇒ 5:7

Number of women in the company ⇒ 196

1) Solve for the number of men in the company

Set up a proportion

[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company

Multiply both sides by x

[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]

Therefore, there are 140 men working at the company.

Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.

I hope this helps!

Answer:

336 total employees

Step-by-step explanation:

divide women by their respective ratio to get unit multiplier

196÷7=28

add the 2 numbers in the ratio to get both men and women

7+5=12

multiply everyone by unit multiplier

12(28)

336

What is the next number in the pattern 2 5 11 23

Answers

Answer:

47

Step-by-step explanation:

A bucket holds 5l when full.Find the quantity of water in litres and millilitres when the bucket is 3/4 full.​

Answers

Answer:

3.75 lt or 3750 mlts

Step-by-step explanation:

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