What is the vertex of the function?
Consider the quadratic function:
f(x) = x2 - 8x - 9
Vertex: (zo
(2)

Answers

Answer 1

Answer:

(4 , -25)

Step-by-step explanation:

that is the procedure above

What Is The Vertex Of The Function?Consider The Quadratic Function:f(x) = X2 - 8x - 9Vertex: (zo(2)
Answer 2

the vertex of the parabola is calculated by the formula                                          

[tex]\displaystyle\ ax^2+bx+c\quad ;\quad \boxed{x_0=\frac{-b}{2a} \ \ ;\quad y_0 =ax_0^2+bx_0+c} \\\\x_0=-\frac{-8}{2} =4 \quad ; \ \ y_0 =16-32-9=-25 \\\\\ \ Answer: Coordinates \ \ of \ the \ vertex \ of \ the \ \ parabola \ \ (4;-25)[/tex]


Related Questions

Find the 66th term of the arithmetic sequence 25, 10, -5, ...

Answers

Answer:

1000

Step-by-step explanation:

Given data

we have the sequence

25, 10, -5, ...

we want to find the 66th term, let us apply the formula

an = a + (n – 1)d

a= 25

n= 66

d= 15

substitute

a66= 25+(66-1)15

a66= 25+(65)*15

a66= 25+975

a66= 1000

Hence the 66th term is 1000

h(x) = -4x – 7, when x = 3:

Answers

[tex]\displaystyle\bf h(x)=-4x-7\Longrightarrow h(3)=-4\cdot3-7=-19\\\\Answer:\boxed{ h(3)=-19}[/tex]

Answer:

-19

Step-by-step explanation:

heyya, so if x = 3 you just replace the x in the calculation to 3:

-4 *3 -7

= -12 -7

= -19

Which of the following is a radical equation?

Answers

Answer:

[tex]\sqrt{x} +3 =13[/tex]

Step-by-step explanation:

A radical equation is any equation in which a variable is under a root. This is the only equation in which x is under the square root, so this is the radical equation.

what is the value of b in this equation?

A. -20
B. -6
C. 6
D. 20

Answers

Answer:

Step-by-step explanation:

a- 12

b- 2

c- 11

and the next part is

x- 6

y- 18

Answer:

B

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{m}[/tex]

Then

[tex](y^b)^{4}[/tex] = [tex]\frac{1}{y^{24} }[/tex]

[tex]y^{4b}[/tex] = [tex]y^{-24}[/tex]

Equate the exponents

4b = - 24 ( divide both sides by 4 )

b = - 6 → C

The price of a pair of trainers was £85 The price was reduced to £47 Work out the percentage change in price.

Answers

Answer:

The trainers are 44.71% off the original price i think.

Step-by-step explanation:

A claim is reviewed for MOHS surgery on the foot that was performed in 1 stage with 6 tissue blocks. The claim was reported with 17311, 17312-51, 17312-51. Is this correct

Answers

Answer:

17311, 17315  

Step-by-step explanation:

Explanation,

Mohs surgery, also known as chemosurgery, created by a general surgeon, Dr. Frederic E. Mohs, is performed to remove complex or ill-defined cutaneous malignancy.

List Of CPT Codes For Mohs Surgery

CPT Code 17311 and CPT Code 17313 are the base codes for the range of this surgery. CPT Code 17312, CPT Code 17314, and CPT Code 17315 are the add-on codes for this range.

Description Of CPT Code 17311

Moh’s micrographic technique, including removal of all gross tumor, surgical excision to tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stain(s) (eg. Hematoxylin and eosin, toluidine blue), head, neck, hands, feet genitalia, or any location with surgery directly involving muscle, cartilage, bone, tendon, major nerves, or vessels; first stage, up to 5 tissue blocks

Description Of CPT Code 17315 (addon)

CPT Code 17315 may be used to report each block after the first 5 blocks for any single-stage.

Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), each additional block after the first 5 tissue blocks, any stage (List separately in addition to code for primary procedure)

Extras

Description Of CPT Code 17312 (addon)

Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure)

Description of CPT Code 17313

Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), of the trunk, arms, or legs; first stage, up to 5 tissue blocks

Description Of CPT Code 17314 (addon)

Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure).

Solve for x. Round to the nearest tenth, if necessary.

Answers

Hi there!

1. Trigonometric Ratio

For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.

Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.

2. Adjacent, Hypotenuse, Opposite

There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.

3. Using Cosine Ratio

Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.

Cosine Ratio is:

[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]

For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4

Hence, the new equation is:

[tex] \large{0.4 = \frac{x}{7} }[/tex]

4. Solve The Equation

The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.

[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]

Multiply 7 both sides to get rid of the denominator.

[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]

Divide both sides by 10 so we can finally isolate x.

[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]

Since the denominator is 10. We can convert to the decimal as 2.8

[tex] \large \boxed{ \tt{2.8 = x}}[/tex]

Because you want the nearest tenth then 2.8 is your answer!

5. Final Answer

x = 2.8

M=F+Frt

solve for t...

Answers

Answer:

m=f+Frt

M=f(1+rt)

M\1+rt=F

URGENT PLS ANSWER QUICKLY​

Answers

Answer:

5 is 14cm . 14 is 2pie r. 6 is 120

Answer:

Question 5 = 14

Question 6 = 120

I hope this helped!

What is 1,485÷ 0.09 answer please let me y

Answers

Answer:

16,500

Step-by-step explanation:

Just use a calculator-simple

What do you mean "let me y"?

Answer:

the answer is 16500 or sixteen thousand five hundred

Step-by-step explanation:

:)

Examine the equation.
-2(-x + 9) = 2(x - 9)

2x - 18 = 2x - 18
This equation has:
1. One solution
2. Infinity many solutions
3. No solution

Answers

Infinity many solutions

For a school show, Garima wants to arrange 42 flower pots in such a way that each column has an equal number of pots. Which of these could be the number of flower pots in a column?

Answers

Answer: She can either arrange them in 7 columns or 6 columns.

Step-by-step explanation:

We are given:

Total number of pots = 42

In order to arrange the pots in the same number of columns so that each column has an equal number of pots, we will find out the factors of 42.

42 = 6 × 7

42 = 1 × 42

Garima can arrange 6 pots in 7 columns or 7 pots in 6 columns so as to have equal number of pots.

Hence, she can either arrange them in 7 columns or 6 columns.

What does "solve an equation" mean?

Answers

Answer:

It means you find something equal to that equation or simplify it.

Step-by-step explanation:

KHAN

What is the least common multiple of 50, 41, and 30?

Answers

Hello!

[ 50; 41; 30 ] = ?

50 | 2 × 5

5 | 5 => 50 = 2 × 5²

1 |

41 | 41 => 41 = 41

1 |

30 | 2 × 5

3 | 3 => 30 = 2 × 3 × 5

1 |

[ 50; 41; 30 ] = 2 × 3 × 5² × 41 = 2 × 3 × 25 × 41 = 6 × 25 × 41 = 150 × 41 = 6150

Good luck! :)

Find the area

Help me please

Answers

Answer:

72

Step-by-step explanation:

You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72

Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. How many months will it take for the second phone to be less expensive than the first phone?

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is
.

The solution to the inequality is
.

Sal’s mother would have to keep the second cell phone plan for at least
months in order for it to be less expensive.

Answers

Answer:

It will take 13 months for the second phone to be less expensive than the first phone.

Step-by-step explanation:

Since Sal is trying to determine which cell phone and service plan to buy for his mother, and the first phone costs $ 100 and $ 55 per month for unlimited usage, while the second phone costs $ 150 and $ 51 per month for unlimited usage, to determine how many months will it take for the second phone to be less expensive than the first phone, the following calculation must be performed:

100 + (55 x 10) = 100 + 550 = 650

150 + (51 x 10) = 150 + 510 = 660

100 + (55 x 12) = 100 + 660 = 760

150 + (51 x 12) = 150 + 612 = 762

100 + (55 x 13) = 100 + 715 = 815

100 + (51 x 13) = 150 + 663 = 813

Therefore, it will take 13 months for the second phone to be less expensive than the first phone.

Answer:

1) 100 + 55x > 150 + 51x

2) x > 12.5

3) 13

Step-by-step explanation:

Got it right on Edge :D

Jack plants a vegetable garden. The garden is the shape of a rectangle. He wants to put a fencing around the entire garden

Answers

Step-by-step explanation:

you need to find the lenght and breadth of the rectangle


The diagram is not drawn to scale

Find the value of x to the nearest tenth.

Options:

A: 25.0
B: 16.0
C: 9.0
D: 17.3

Answers

Answer:

3x-2 = 25 3x = 25+2 3x = 27 x =9the answer is option c

The polygons are similar, but not necessarily drawn to scale. Find the value of x. PLEASE HELPPPP

Answers

Answer:

x = 27.5.

Step-by-step explanation:

There are given numbers on each side. If the figures are similar, then they have a set ratio for each value.

So, 55:8 and x:4. If you want to, you can flip it, so that it is 8:55 and 4:x.

With that in mind, it is easy to see what the ratio is. Because 4 is half of 8, x is half of 55. 55 divided by 2 is 27.5.

Therefore, x = 27.5.

Need help on this question asap pleasee :)

Answers

Answer:

1/4

Step-by-step explanation:

During a month, the average temperature in day time of a placewas 430C. The average temperature during night was recorded to be -30C. Find the difference between the average day temperature and the average night temperature.

Answers

Answer:

Difference between average day temperature and average night temperature = 70°

Step-by-step explanation:

Given;

Average day temperature = 43° C

Average night temperature = -30° C

Find:

Difference between average day temperature and average night temperature

Computation:

Difference between average day temperature and average night temperature = Average day temperature - Average night temperature

Difference between average day temperature and average night temperature = 43 - (-30)

Difference between average day temperature and average night temperature = 70°

Can someone help me with this math homework please!

Answers

Answer:

4

Step-by-step explanation:

7h-15h+40=-72

-8h=-32

h=4

What is the value of cose in the diagram below?

Answers

Answer:

[tex]cos \theta = 0.6[/tex]

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]

[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]

The value of cos θ is,

⇒ cos  θ = 0.6

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos  θ = 0.6

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-Xº = 3y + 10
3(2x + y) = 14
y = 13 - 2x
2 = y + x
y = x+7

Answers

all except for the second option I believe, as all of them have a slope, y intercept, except -X degrees

6. The coordinates of the vertices of triangle CDE are C(3, - 2), D(5, 2) , and E(7, 0) The figure is rotated 90about the origin . What are the vertices of the resulting image, Figure C'D'E?

Answers

Answer:

Step-by-step explanation:

if it is rotated in clockwise direction then C'(-2,-3),D'(2,-5),E'(0,-7)

if rotated in anticlockwise direction C'(2,3),D'(-2,5),E'(0,7)

pleeeeaaasssseeeee help

Answers

Step-by-step explanation:

Explanation is in the attachment

n=84°p=84°q=96°v=84°w=138°

hope it is helpful to you

Does the point (0, 37) satisfy the equation y = 79x - -37? yes no​

Answers

Answer:

yes

Step-by-step explanation:

y = 79x - -37

37 = 79(0) - - 37

37 = 0 - - 37

37 = 37

Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.​

Answers

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

Compare the speeds⠀⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we know that,

[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

speed=100/9.75speed =10.2564...speed=10.26

BUTTT,

he ran the 200-meter race in 19.5 seconds.

speed=200/19.5speed=10.2564..speed=10.26

According to the question,

we have to compare the speed

100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.

10.26=10.26

the speeds are equal

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

The two speeds are equal of Yohan Blake.

Can someone please help me! Big ideas number 22 8.4

Answers

Answer:

26

Step-by-step explanation:

the whole area is the sum of the area of the rectangle in the middle and the 2 triangles on either side of the rectangle.

sBC = distance between (0,3) and (4,-1)

and that is the Pythagoras calculation with the coordinate differences

sBC² = (4-0)² + (-1 - 3)² = 16 + 16 = 32

sBC = sqrt(32) = sFE

to get the area of the rectangle we need also FB (or CE).

sFB² = (0 - -2)² + (3-1)² = 4 + 4 = 8

sFB = sqrt(8) = sCE

area of rectangle is

sBC×sFB = sqrt(32)×sqrt(8) = sqrt(32×8) = sqrt(256) = 16

the area of a right-angled triangle is

a×b/2

we have sFB and need sAF

sAF² = (-5 - -2)² + (4-1)² = 9 + 9 = 18

sAF = sqrt(18)

the area of the left triangle is

sFB×sAF/2 = sqrt(8)×sqrt(18)/2 = sqrt(8×18)/2 = sqrt(144)/2 = 12/2 = 6

for the right triangle we have sCE and need sED.

sED² = (2 - 4)² + (-3 - -5)² = 4 + 4 = 8

sED = sqrt(8)

the area of the right triangle is

sCE×sED/2 = sqrt(8)×sqrt(8)/2 = 8/2 = 4

so in total we have for the area

16 + 6 + 4 = 26

Which of the following represents the divisor and the dividend for the
synthetic division problem below?


Answers

Answer:

option D is correct

Step-by-step explanation:

Given data

From the given expression/options of answers, option D is correct

This is because the given expression in the attached file corresponds to the terms in option D

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